Population Variance, Standard deviation and coefficient of variation for grouped data calculator

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Solution

Find Population Variance {{10-20,15},{20-30,25},{30-40,20},{40-50,12},{50-60,8}}

Solution:
Your problem `->` Population Variance {{10-20,15},{20-30,25},{30-40,20},{40-50,12},{50-60,8}}

Class `(1)`	Frequency `(f)` `(2)`	Mid value `(x)` `(3)`	`d=(x-A)/h=(x-35)/10` `A=35,h=10` `(4)`	`f*d` `(5)=(2)xx(4)`	`f*d^2` `(6)=(5)xx(4)`
10 - 20	15	15 `15=(10+20)/2`	-2 `d=(15-35)/10=(-20)/10=-2` `d=(x-35)/10`	-30 `-30=15xx-2` `(5)=(2)xx(4)`	60 `60=-30xx-2` `(6)=(5)xx(4)`
20 - 30	25	25 `25=(20+30)/2`	-1 `d=(25-35)/10=(-10)/10=-1` `d=(x-35)/10`	-25 `-25=25xx-1` `(5)=(2)xx(4)`	25 `25=-25xx-1` `(6)=(5)xx(4)`
30 - 40	20	35=A `35=(30+40)/2`	0 `d=(35-35)/10=(0)/10=0` `d=(x-35)/10`	0 `0=20xx0` `(5)=(2)xx(4)`	0 `0=0xx0` `(6)=(5)xx(4)`
40 - 50	12	45 `45=(40+50)/2`	1 `d=(45-35)/10=(10)/10=1` `d=(x-35)/10`	12 `12=12xx1` `(5)=(2)xx(4)`	12 `12=12xx1` `(6)=(5)xx(4)`
50 - 60	8	55 `55=(50+60)/2`	2 `d=(55-35)/10=(20)/10=2` `d=(x-35)/10`	16 `16=8xx2` `(5)=(2)xx(4)`	32 `32=16xx2` `(6)=(5)xx(4)`
---	---	---	---	---	---
	`n = 80`	-----	-----	`sum f*d=-27`	`sum f*d^2=129`

Population Variance `sigma^2 = ((sum f*d^2 - (sum f*d)^2/n)/n) * h^2`

`=((129 - (-27)^2/80)/80) * 10^2`

`=((129 - 9.1125)/80) * 100`

`=119.8875/80 * 100`

`=1.4986 * 100`

`=149.8594`

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Input help (type the value like this)

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2. Polynomial subtraction - (x^3-12*x^2-42)-(x^2+x-3)

3. Polynomial multiplicaiton - (x^3-12*x^2-42)*(x^2+x-3)

4. long division (x^4+6x^2+2)/(x^2+5)

5. Synthetic division (3x^3-2x^2+3x-4)/(x-3)

6. Ascending order -2x^2+3x^3+3x-4

7. Descending order -2x^2+3x^3+3x-4

8. Degree of polynomial 3x^3-2x^2+3x-4

9. Degree 3x^3-2x^2+3x-4

10. Leading Term 3x^3-2x^2+3x-4

11. Leading Coefficient 3x^3-2x^2+3x-4

12. Is Polynomial x^2-4x^2-4

13. Determine if Polynomial x^2-4x^2-4

14. Find roots 7x^3-28x^2+28x-56

15. Find zeros 7x^3-28x^2+28x-56

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17. simplify (x^3+5*x+2*x^2+10)/(x+2)

18. solve 2x+5=9

19. evaluate 3x+8 for x=9

20. evaluate 4y+x for y=2,x=3

21. 2x+5=9

22. 4y+x, y=2,x=3

23. Rational expression - (2x+8)/(3x+1)-(x+4)/(7x+1)

24. Polynomial - factor x^2-3x+2

25. Polynomial - expand (x+3)(x+2)

26. Polynomial - expand 102^2

27. complete the square 3x^2+5x+4

28. is prefect square x^2+4x+4

29. Perfect square trinomial - missing first term 12x^2+9

30. Perfect square trinomial - missing middle term x^2+4

31. Perfect square trinomial - missing last term x^2+4*x

32. Polynomial - HCF (2X^2-4X),(3X^4-12X^2),(2X^5-2X^4-4X^3)

33. Polynomial - GCF (2X^2-4X),(3X^4-12X^2),(2X^5-2X^4-4X^3)

34. Polynomial - GCD (2X^2-4X),(3X^4-12X^2),(2X^5-2X^4-4X^3)

35. Polynomial - LCM (2X^2-4X),(3X^4-12X^2),(2X^5-2X^4-4X^3)

36. Quadratic Equation - x^2-5x+6=0

37. Quadratic Equation - Discriminant and Nature of Roots x^2-5x+3=0

38. Quadratic Equation - Discriminant x^2-5x+3=0

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42. Quadratic Equation Method-2: (x)/(x+1)+(x+1)/(x)=5/2 Calculator

43. Quadratic Equation Method-3: 4((4x+1)/(4x-1))^(2)+(4x+1)/(4x-1)=3 Calculator

44. Quadratic Equation Method-4: (4x+1)/(4x-1)+(4x-1)/(4x+1)=3 Calculator

45. Solve linear equations - 7y+2x=11,3x-y=5

46. Solve linear equations - Substitution 7y+2x=11,3x-y=5

47. Solve linear equations - Elimination 7y+2x=11,3x-y=5

48. Solve linear equations - Cross Multiplication 7y+2x=11,3x-y=5

49. Solve linear equations - Addition subtraction 7y+2x=11,3x-y=5

50. Solve linear equations - Graphical 7y+2x=11,3x-y=5

51. Solve linear equations - Inverse matrix 7y+2x=11,3x-y=5

52. Solve linear equations - Cramer's Rule 7y+2x=11,3x-y=5

53. Solve linear equations - Gauss Elimination 7y+2x=11,3x-y=5

54. Solve linear equations - Gauss Jordan Elimination 7y+2x=11,3x-y=5

55. Solve linear equations - Gauss Elimination Back Substitution 7y+2x=11,3x-y=5

56. Solve linear equations - Gauss Seidel 7y+2x=11,3x-y=5

57. Solve linear equations - Gauss Jacobi 7y+2x=11,3x-y=5

58. Solve linear equations - Elimination x+y+z=9,2x+y-z=0,2x+5y+7z=52

59. Variation - x prop y and x=4 when y=2. Find y when x=18

60. Variation - x prop 1/y^3 and x=16 when y=12. Find y when x=54

61. Variation - x prop y^3/z and x=8 when y=4, z=3. Find x when y=6, z=4

62. Variation - If 5x-7y prop 6x+3y then prove that x prop y

63. Variation - If x prop y then prove that x^3+y^3 prop x^2y-xy^2

64. Expansion Method-1 : If x+1/x = 2 then find x^2+1/x^2 Calculator

65. Expansion Method-2 : If x+y=5 and xy=6 then find x^2+y^2 Calculator

66. Expansion Method-3 : If x+y+z=9 and x^2+y^2+z^2=29 then find xy+yz+zx Calculator

67. interval notation x<=5, x in N

68. interval notation x^2-1 < 10,x in Z

69. interval notation 1< x<7, x is even

70. Set theory - A={x<=5, x in N}, B={2<=x<=8, x in N}, find A union B

71. Set theory - A={x<=5, x in N}, B={2<=x<=8, x in N}, find A intersect B

72. Set theory - Complement - A={x<=5, x in N}, B={2<=x<=8, x in N}, U={1<=x<=10, x in N}, find (A union B)' = A' intersect B'

73. Set theory - Power set(Proper Subset) - A={x<=5, x in N}, find P(A)

74. Set theory - Difference - A={x<=5, x in N}, B={2<=x<=8, x in N}, find A-B

75. Set theory - Symmetric difference - A={x<=5, x in N}, B={2<=x<=8, x in N}, find A delta B

76. Set theory - Cross Product - A={x<=5, x in N}, B={2<=x<=8, x in N}, find A cross B

77. Set theory - A={x<=5, x in N}, B={3<=x<=7, x in N}, C={1<=x<=3, x in N}, find A union (B union C) = (A union B) union C

78. Set theory - Cardinality - A={x<=5, x in N}, find |A|

79. Set theory - A={x<=5, x in N}, find 1 belongsto A

80. Set theory - A={x<=5, x in N}, B={2<=x<=8, x in N}, find A subset B

81. Set theory - is equal set - A={x<=5, x in N}, B={2<=x<=8, x in N}, find A = B

82. Function - f(x)=2x+3,g(x)=-x^2+5, Find f(g(x))

83. Function - f(x)=4x+1, g(x)=2x-3, Find gof(2)

84. Function - f(x)=4x+1, g(x)=2x-3, Find (f+g)(2)

85. Function - f(x)=4x+1, g(x)=2x-3, Find (f-g)(x)

86. Function - f(x)=4x+1, g(x)=2x-3, Find (f*g)(x)

87. Function - f(x)=x^2-y^2, g(x)=x-y, Find (f/g)(x)

88. Function - f(x)=2x+3, f(x+2)

89. Function - f(x)=x^2-2^x, Find f(2)-f(0)

90. Function - f(x)=4x+1, g(x)=2x-3, Find f(2)-g(3)

91. Function - f(x)=2x+3, A={x<=5, x in N}, Find range

92. Function - f(x)=2x+3, A={1,2,3}, Find range

93. Descartes rule x^3+3x^2+3x+1

94. Ratio and proportion - duplicate ratio 2:3

95. Ratio and proportion - triplicate ratio 2:3

96. Ratio and proportion - subduplicate ratio 16:25

97. Ratio and proportion - subtriplicate ratio 8:27

98. Ratio and proportion - compounded ratio 2:3,3:4,4:5

99. Ratio and proportion - mean proportional 8,32

100. Ratio and proportion - third proportional 16,36

101. Ratio and proportion - fourth proportional 3,7,15

102. Ratio and proportion - compare ratios 2:3,3:4

103. In ratio and proportion, if a:b:c=2:3:5 then find (a^2+b^2+c^2)/(ab+bc+ca)

104. In ratio and proportion, if x:30=12:20, then find x

105. In ratio and proportion, if a/b=2/3, then find (2a-3b)/(a-2b)

106. In ratio and proportion, if 2a=3b=7c, then find a:b:c

107. In ratio and proportion, if a:b=2:3,b:c=4:5, then find a:b:c

108. In ratio and proportion, if a/b=c/d=e/f then prove that (2a+3c-4e)/(2b+3d-4f)=(5a-4c+3e)/(5b-4d+3f)

109. In ratio and proportion, if x/(b^2-c^2)=y/(c^2-a^2)=z/(a^2-b^2) then prove that x+y+z=0

110. In ratio and proportion, if x/(y+z)=y/(z+x)=z/(x+y) then prove each ratio = 1/2 or -1

111. In ratio and proportion, if (5a+6b)/(7c)=(6b+7c)/(5a)=(7c+5a)/(6b) then prove that each ratio = 2,-1

112. Ratio and proportion - geometric mean 4x^3, 9x

113. Ratio and proportion - if geometric mean 18 and x is 12, find value of x

114. Partial Fractions (5x-4)/(x^2-x-2)

115. long addition - 315+432

116. long subtraction - 315-432

117. long multiplication - 315*432

118. long division 25/30

119. simplify 25/30

120. simplify 2/3-3/2+1/4

121. place value of 2 in 12345

122. roman 10

123. isprime 37

124. 5th prime

125. primes between 1 and 100

126. Number to word - pronounce 43210

127. Number to word - spell 43210

128. Determine the type of number 25, 3.76

129. Determine if Rational 25, 3.76

130. factors 45

131. prime factors 45

132. all factors 45

133. divisors 45

134. GCF 20,30,100

135. HCF 20,30,100

136. GCD 20,30,100

137. LCM 20,30,100

138. HCF by long division 20,30,100

139. LCM by long division 20,30,100

140. leap year 2010

141. leap year 2010,2020

142. decimal to fraction 0.3535

143. fraction to decimal 1/2

144. reduce fraction 4/8

145. decimal to scientific 0.008

146. scientific to decimal 8*10^-3

147. mixed to improper fraction 3 1/24

148. improper to mixed fraction 27/24

149. round off 35463.15365 at 1 decimal place

150. modulo - 14 mod 3

151. compare fraction 3/4,5/6

152. ascending order 1/2,2/3,1/4

153. descending order 1/2,2/3,1/4

154. LCD 1/2,3/4,5/6

155. Reciprocal 7/6

156. square - 216^2

157. cube - 216^3

158. power - 216^4

159. square root 25

160. cube root 27

161. square root long division 25

162. cube root long division 27

163. 5th root 32

164. Complementary angle 30

165. Supplementary angle 30

166. Reference angle 30

167. Quadrant of angle 30

168. Divisibility rules - is 156 divisible by 2

169. Divisibility rules - is 156 divisible by 3

170. Series - next term 3,6,18,72

171. Series - next 2 term 3,6,18,72

172. Series - 3,6,18,72,...

173. angle to degree 67.245

174. Length Conversion 10 Kilometers to Meters

175. Speed Conversion 10 Kilometers/Hour to Meters/Second

176. Power Conversion 19 Horsepower to Watts

177. Temperature Conversion 19 C to F

178. Mass Conversion 15 Kilograms to Grams

179. Volume Conversion 17 Liters to Milliliters

180. Money Conversion 5 Rupees to Paise

181. Time Conversion 30 Days to Minutes

182. Degree Conversion 15 Radian to Degree

183. percentage to decimal - 84% to decimal

184. percentage to fraction - 5% to fraction

185. fraction to percentage - 3/4 to percent

186. decimal to percentage - 0.25 to percent

187. Power - 5^50

188. Factorial - 10!

189. Permutation - 5p2

190. Combination - 5c2

191. permutations of {a, b, c, d}

192. permutations without repetition of {a, b, c, d}

193. permutations with repetition of {a, b, c, d}

194. Combinations without repetition of {a, b, c, d}

195. Combinations with repetition of {a, b, c, d}

196. binary addition - binary 10101+011

197. binary subtraction - binary 10101-011

198. binary multiplication - binary 10101*011

199. binary division - binary 10101/011

200. octal addition - octal 654+461

201. octal subtraction - octal 654-461

202. octal multiplication - octal 654*461

203. octal division - octal 654/4

204. hexadecimal addition - hexadecimal BAC+AB

205. hexadecimal subtraction - hexadecimal BAC-AB

206. hexadecimal multiplication - hexadecimal BAC*AB

207. hexadecimal division - hexadecimal BAC/AB

208. Other base addition - 7 base 604+461

209. Other base subtraction - 7 base 604-461

210. Other base multiplication - 7 base 604*461

211. Other base division - 7 base 604/4

212. Conversion - decimal to binary 65

213. Conversion - decimal to octal 65

214. Conversion - decimal to hexadecimal 65

215. Conversion - decimal to 7 base 65

216. Conversion - binary to octal 1101101

217. Conversion - binary to decimal 1101101

218. Conversion - binary to hexadecimal 1101101

219. Conversion - binary to 7 base 1101101

220. Conversion - octal to binary 765

221. Conversion - octal to decimal 765

222. Conversion - octal to hexadecimal 765

223. Conversion - octal to 7 base 765

224. Conversion - hexadecimal to binary a10

225. Conversion - hexadecimal to octal a10

226. Conversion - hexadecimal to decimal a10

227. Conversion - hexadecimal to 7 base a10

228. Conversion - 7 base to binary 615

229. Conversion - 7 base to octal 615

230. Conversion - 7 base to decimal 615

231. Conversion - 7 base to hexadecimal 615

232. Conversion - 7 base to 12 base 615

233. Conversion - binary to gray code 11101

234. Conversion - gray code to binary 11101

235. Tables - Addition table / Chart

236. Multiplication table / Chart

237. Roman Numerals Generator

238. Table of Squares Generator

239. Table of Cubes Generator

240. Power table Generator

241. Factorial table Generator

242. Number system conversion table

243. Sine | sin(x) table Generator

244. Cosine | cos(x) table Generator

245. Tangent | tan(x) table Generator

246. Sine, Cosine, Tangent table Generator

247. Area formula

248. Volume formula

249. Polynomial - Factors formula

250. pythagorean ab=3,bc=4,ac

251. pythagoras ab=3,ac=5,bc

252. Volume - for cuboid Length=3,Breadth=4 and Height=5. Find Volume

253. Volume - for cube Length=3. Find Volume

254. Volume - for cylinder Radius=3 and Height=10. Find Volume

255. Volume - for cone Radius=3 and Slant Height=5. Find Volume

256. Volume - for sphere Radius=3. Find Volume

257. Volume - for Hemi-Sphere Radius=3. Find Volume

258. Area - for circle Radius=7. Find Area

259. Area - for Semi-Circle Radius=7. Find Area

260. Area - for Regular Hexagon Side=10. Find Area

261. Area - for square Side=10. Find Area

262. Area - for rectangle Length=5 and Breadth=12. Find Area

263. Area - for parallelogram a=9,b=22 and h=14. Find Area

264. Area - for rhombus d1=10 and d2=24. Find Area

265. Area - for trapezium a=22,b=18,c=16,d=16 and h=4. Find Area

266. Area - for scalene triangles a=3,b=4 and c=5. Find Area

267. Area - for rightangle triangles AB=5 and BC=12. Find Area

268. Area - for equilateral triangles Side=6. Find Area

269. Area - for isoceles triangles a=5 and b=6. Find Area

270. Area - for sector and segment Radius=14 and angle of measure=90. Find length of arc

271. maximum and minimum value of y=x^3-9x^2+24x+2

272. maximum and minimum value of y=4x^3+19x^2-14x+3

273. Derivative - differentiate e^x*cos(x)

274. Derivative - differentiate x/cos(x)

275. Derivative - differentiate (cos(x^3))^2

276. Derivative - derivative of x^4 sin x

277. Derivative - second derivative of sin(2x) wrt x

278. Derivative - d/dx(sin(2x))

279. Derivative - d^3/dx^3(sin(2x))

280. Trigonometry - sin(30)*cos(60)+sin(30)*cos(60)

281. Trigonometry - (sin^4(x)-cos^4(x))/(sin^2(x)-cos^2(x))

282. Trigonometry - cot(x)+tan(x)=sec(x)csc(x)

283. Trigonometry - If sin(x)=5/13 then find others

284. Trigonometry - If sin(x)=-5/13 then find other trig values in Quadrant III

285. Trigonometry - If sin(x)=5/13 then find cos(x),tan(x),csc(x),sec(x),cot(x)

286. Trigonometry - If sin(x)=5/13 then find cos(x)csc(x)+tan(x)sec(x)

287. Ungrouped data - Arithmetic mean {12,17,20}

288. Ungrouped data - Geometric mean {12,17,20}

289. Ungrouped data - Harmonic mean {12,17,20}

290. maximum of {85,96,76,108,85,80,100,85,70,95}

291. minimum of {85,96,76,108,85,80,100,85,70,95}

292. sum {1,2,3,2,3,6}

293. length {1,2,3,2,3,6}

294. range {1,2,3,2,3,6}

295. arrange ascending order {85,96,76,108,85,80,100,85,70,95}

296. arrange descending order {85,96,76,108,85,80,100,85,70,95}

297. midrange {1,2,3,2,3,6}

298. interquartile range {1,2,3,2,3,6}

299. quartile deviation {1,2,3,2,3,6}

300. coefficient of quartile deviation {1,2,3,2,3,6}

301. create a gropued frequency distribution table {77,40,85,82,98,93,66,78,94,50,57}

302. less than type cumulative frequency table {{10-20,15},{20-30,25},{30-40,20},{40-50,12},{50-60,8}}

303. less than type cumulative frequency table {{10-20,20-30,30-40,40-50,50-60},{15,25,20,12,8}}

304. more than type cumulative frequency table {{10-20,15},{20-30,25},{30-40,20},{40-50,12},{50-60,8}}

305. more than type cumulative frequency table {{10-20,20-30,30-40,40-50,50-60},{15,25,20,12,8}}

306. class and their frequency table {{below 20, below 40, below 60, below 80, below 100},{5,10,25,32,40}}

307. class and their frequency table {{less than 20, less than 40, less than 60, less than 80, less than 100},{5,10,25,32,40}}

308. class and their frequency table {less than 20 - 5, less than 40 - 10, less than 60 - 25, less than 80 - 32, less than 100 - 40}

309. class and their frequency table {more than 55 - 5, more than 50 - 17, more than 45 - 39, more than 40 - 43, more than 35 - 49, more than 30 - 49, more than 25 - 51}

310. class and their frequency table {below 20 - 5, below 40 - 10, below 60 - 25, below 80 - 32, below 100 - 40}

311. class and their frequency table {above 55 - 5, above 50 - 17, above 45 - 39, above 40 - 43, above 35 - 49, above 30 - 49, above 25 - 51}

312. Ungrouped data - mean {85,96,76,108,85,80,100,85,70,95}

313. Ungrouped data - median {85,96,76,108,85,80,100,85,70,95}

314. Ungrouped data - mode {1,2,3,2,3,6}

315. Ungrouped data - Variance {85,96,76,108,85,80,100,85,70,95}

316. Ungrouped data - Standard deviation {85,96,76,108,85,80,100,85,70,95}

317. Ungrouped data - coefficient of variation {85,96,76,108,85,80,100,85,70,95}

318. Ungrouped data - Population Variance {1,2,3,2,3,6}

319. Ungrouped data - Population Standard Deviation {1,2,3,2,3,6}

320. Ungrouped data - Population coefficient of variation {1,2,3,2,3,6}

321. Ungrouped data - Sample Variance {1,2,3,2,3,6}

322. Ungrouped data - Sample Standard Deviation {1,2,3,2,3,6}

323. Ungrouped data - Sample coefficient of variation {1,2,3,2,3,6}

324. Ungrouped data - quartiles of {1,2,3,2,3,6}

325. Ungrouped data - 1 quartiles of {1,2,3,2,3,6}

326. Ungrouped data - 4 deciles of {1,2,3,2,3,6}

327. Ungrouped data - 15 percentiles of {1,2,3,2,3,6}

328. Ungrouped data - skewness {85,96,76,108,85,80,100,85,70,95}

329. Ungrouped data - kurtosis {85,96,76,108,85,80,100,85,70,95}

330. Ungrouped data - Sample skewness {85,96,76,108,85,80,100,85,70,95}

331. Ungrouped data - Sample kurtosis {85,96,76,108,85,80,100,85,70,95}

332. Ungrouped data - Population skewness {85,96,76,108,85,80,100,85,70,95}

333. Ungrouped data - Population kurtosis {85,96,76,108,85,80,100,85,70,95}

334. Grouped data - mean {{10,11,12,13,14},{3,12,18,12,3}}

335. Grouped data - mean {{10,3},{11,12},{12,18},{13,12},{14,3}}

336. Grouped data - mean {{10-20,15},{20-30,25},{30-40,20},{40-50,12},{50-60,8}}

337. Grouped data - mean {{10-20,20-30,30-40,40-50,50-60},{15,25,20,12,8}}

338. Mixed data - mean {{1,3},{2,4},{5,10},{6-10,23},{10-20,20},{20-30,20},{30-50,15},{50-70,3},{70-100,2}}

339. Mixed data - mean {{1,2,5,6-10,10-20,20-30,30-50,50-70,70-100},{3,4,10,23,20,20,15,3,2}}

340. Grouped data - median {{10,11,12,13,14},{3,12,18,12,3}}

341. Grouped data - median {{10,3},{11,12},{12,18},{13,12},{14,3}}

342. Grouped data - median {{10-20,15},{20-30,25},{30-40,20},{40-50,12},{50-60,8}}

343. Grouped data - median {{10-20,20-30,30-40,40-50,50-60},{15,25,20,12,8}}

344. Mixed data - median {{1,3},{2,4},{5,10},{6-10,23},{10-20,20},{20-30,20},{30-50,15},{50-70,3},{70-100,2}}

345. Mixed data - median {{1,2,5,6-10,10-20,20-30,30-50,50-70,70-100},{3,4,10,23,20,20,15,3,2}}

346. Grouped data - mode {{10,11,12,13,14},{3,12,18,12,3}}

347. Grouped data - mode {{10,3},{11,12},{12,18},{13,12},{14,3}}

348. Grouped data - mode {{10-20,15},{20-30,25},{30-40,20},{40-50,12},{50-60,8}}

349. Grouped data - mode {{10-20,20-30,30-40,40-50,50-60},{15,25,20,12,8}}

350. Mixed data - mode {{1,3},{2,4},{5,10},{6-10,23},{10-20,20},{20-30,20},{30-50,15},{50-70,3},{70-100,2}}

351. Mixed data - mode {{1,2,5,6-10,10-20,20-30,30-50,50-70,70-100},{3,4,10,23,20,20,15,3,2}}

352. Grouped data - Variance {{10,11,12,13,14},{3,12,18,12,3}}

353. Grouped data - Variance {{10,3},{11,12},{12,18},{13,12},{14,3}}

354. Grouped data - Variance {{10-20,15},{20-30,25},{30-40,20},{40-50,12},{50-60,8}}

355. Grouped data - Variance {{10-20,20-30,30-40,40-50,50-60},{15,25,20,12,8}}

356. Mixed data - Variance {{1,3},{2,4},{5,10},{6-10,23},{10-20,20},{20-30,20},{30-50,15},{50-70,3},{70-100,2}}

357. Mixed data - Variance {{1,2,5,6-10,10-20,20-30,30-50,50-70,70-100},{3,4,10,23,20,20,15,3,2}}

358. Grouped data - Standard deviation {{10,11,12,13,14},{3,12,18,12,3}}

359. Grouped data - Standard deviation {{10,3},{11,12},{12,18},{13,12},{14,3}}

360. Grouped data - Standard deviation {{10-20,15},{20-30,25},{30-40,20},{40-50,12},{50-60,8}}

361. Grouped data - Standard deviation {{10-20,20-30,30-40,40-50,50-60},{15,25,20,12,8}}

362. Mixed data - Standard deviation {{1,3},{2,4},{5,10},{6-10,23},{10-20,20},{20-30,20},{30-50,15},{50-70,3},{70-100,2}}

363. Mixed data - Standard deviation {{1,2,5,6-10,10-20,20-30,30-50,50-70,70-100},{3,4,10,23,20,20,15,3,2}}

364. Grouped data - coefficient of variation {{10,11,12,13,14},{3,12,18,12,3}}

365. Grouped data - coefficient of variation {{10,3},{11,12},{12,18},{13,12},{14,3}}

366. Grouped data - coefficient of variation {{10-20,15},{20-30,25},{30-40,20},{40-50,12},{50-60,8}}

367. Grouped data - coefficient of variation {{10-20,20-30,30-40,40-50,50-60},{15,25,20,12,8}}

368. Mixed data - coefficient of variation {{1,3},{2,4},{5,10},{6-10,23},{10-20,20},{20-30,20},{30-50,15},{50-70,3},{70-100,2}}

369. Mixed data - coefficient of variation {{1,2,5,6-10,10-20,20-30,30-50,50-70,70-100},{3,4,10,23,20,20,15,3,2}}

370. Grouped data - Population Variance {{10,11,12,13,14},{3,12,18,12,3}}

371. Grouped data - Population Variance {{10,3},{11,12},{12,18},{13,12},{14,3}}

372. Grouped data - Population Variance {{10-20,15},{20-30,25},{30-40,20},{40-50,12},{50-60,8}}

373. Grouped data - Population Variance {{10-20,20-30,30-40,40-50,50-60},{15,25,20,12,8}}

374. Mixed data - Population Variance {{1,3},{2,4},{5,10},{6-10,23},{10-20,20},{20-30,20},{30-50,15},{50-70,3},{70-100,2}}

375. Mixed data - Population Variance {{1,2,5,6-10,10-20,20-30,30-50,50-70,70-100},{3,4,10,23,20,20,15,3,2}}

376. Grouped data - Population Standard Deviation {{10,11,12,13,14},{3,12,18,12,3}}

377. Grouped data - Population Standard Deviation {{10,3},{11,12},{12,18},{13,12},{14,3}}

378. Grouped data - Population Standard Deviation {{10-20,15},{20-30,25},{30-40,20},{40-50,12},{50-60,8}}

379. Grouped data - Population Standard Deviation {{10-20,20-30,30-40,40-50,50-60},{15,25,20,12,8}}

380. Mixed data - Population Standard Deviation {{1,3},{2,4},{5,10},{6-10,23},{10-20,20},{20-30,20},{30-50,15},{50-70,3},{70-100,2}}

381. Mixed data - Population Standard Deviation {{1,2,5,6-10,10-20,20-30,30-50,50-70,70-100},{3,4,10,23,20,20,15,3,2}}

382. Grouped data - Population coefficient of variation {{10,11,12,13,14},{3,12,18,12,3}}

383. Grouped data - Population coefficient of variation {{10,3},{11,12},{12,18},{13,12},{14,3}}

384. Grouped data - Population coefficient of variation {{10-20,15},{20-30,25},{30-40,20},{40-50,12},{50-60,8}}

385. Grouped data - Population coefficient of variation {{10-20,20-30,30-40,40-50,50-60},{15,25,20,12,8}}

386. Mixed data - Population coefficient of variation {{1,3},{2,4},{5,10},{6-10,23},{10-20,20},{20-30,20},{30-50,15},{50-70,3},{70-100,2}}

387. Mixed data - Population coefficient of variation {{1,2,5,6-10,10-20,20-30,30-50,50-70,70-100},{3,4,10,23,20,20,15,3,2}}

388. Grouped data - Sample Variance {{10,11,12,13,14},{3,12,18,12,3}}

389. Grouped data - Sample Variance {{10,3},{11,12},{12,18},{13,12},{14,3}}

390. Grouped data - Sample Variance {{10-20,15},{20-30,25},{30-40,20},{40-50,12},{50-60,8}}

391. Grouped data - Sample Variance {{10-20,20-30,30-40,40-50,50-60},{15,25,20,12,8}}

392. Mixed data - Sample Variance {{1,3},{2,4},{5,10},{6-10,23},{10-20,20},{20-30,20},{30-50,15},{50-70,3},{70-100,2}}

393. Mixed data - Sample Variance {{1,2,5,6-10,10-20,20-30,30-50,50-70,70-100},{3,4,10,23,20,20,15,3,2}}

394. Grouped data - Sample Standard Deviation {{10,11,12,13,14},{3,12,18,12,3}}

395. Grouped data - Sample Standard Deviation {{10,3},{11,12},{12,18},{13,12},{14,3}}

396. Grouped data - Sample Standard Deviation {{10-20,15},{20-30,25},{30-40,20},{40-50,12},{50-60,8}}

397. Grouped data - Sample Standard Deviation {{10-20,20-30,30-40,40-50,50-60},{15,25,20,12,8}}

398. Mixed data - Sample Standard Deviation {{1,3},{2,4},{5,10},{6-10,23},{10-20,20},{20-30,20},{30-50,15},{50-70,3},{70-100,2}}

399. Mixed data - Sample Standard Deviation {{1,2,5,6-10,10-20,20-30,30-50,50-70,70-100},{3,4,10,23,20,20,15,3,2}}

400. Grouped data - Sample coefficient of variation {{10,11,12,13,14},{3,12,18,12,3}}

401. Grouped data - Sample coefficient of variation {{10,3},{11,12},{12,18},{13,12},{14,3}}

402. Grouped data - Sample coefficient of variation {{10-20,15},{20-30,25},{30-40,20},{40-50,12},{50-60,8}}

403. Grouped data - Sample coefficient of variation {{10-20,20-30,30-40,40-50,50-60},{15,25,20,12,8}}

404. Mixed data - Sample coefficient of variation {{1,3},{2,4},{5,10},{6-10,23},{10-20,20},{20-30,20},{30-50,15},{50-70,3},{70-100,2}}

405. Mixed data - Sample coefficient of variation {{1,2,5,6-10,10-20,20-30,30-50,50-70,70-100},{3,4,10,23,20,20,15,3,2}}

406. Grouped data - 1 quartiles of {{10,11,12,13,14},{3,12,18,12,3}}

407. Grouped data - 1 quartiles of {{10,3},{11,12},{12,18},{13,12},{14,3}}

408. Grouped data - 1 quartiles of {{10-20,15},{20-30,25},{30-40,20},{40-50,12},{50-60,8}}

409. Grouped data - 1 quartiles of {{10-20,20-30,30-40,40-50,50-60},{15,25,20,12,8}}

410. Grouped data - 4 deciles of {{10,11,12,13,14},{3,12,18,12,3}}

411. Grouped data - 4 deciles of {{10,3},{11,12},{12,18},{13,12},{14,3}}

412. Grouped data - 4 deciles of {{10-20,15},{20-30,25},{30-40,20},{40-50,12},{50-60,8}}

413. Grouped data - 4 deciles of {{10-20,20-30,30-40,40-50,50-60},{15,25,20,12,8}}

414. Grouped data - 15 percentiles of {{10,11,12,13,14},{3,12,18,12,3}}

415. Grouped data - 15 percentiles of {{10,3},{11,12},{12,18},{13,12},{14,3}}

416. Grouped data - 15 percentiles of {{10-20,15},{20-30,25},{30-40,20},{40-50,12},{50-60,8}}

417. Grouped data - 15 percentiles of {{10-20,20-30,30-40,40-50,50-60},{15,25,20,12,8}}

418. Grouped data - skewness {{61,64,67,70,73},{5,18,42,27,8}}

419. Grouped data - skewness {{61,5},{64,18},{67,42},{70,27},{73,8}}

420. Grouped data - skewness {{10-20,15},{20-30,25},{30-40,20},{40-50,12},{50-60,8}}

421. Grouped data - skewness {{10-20,20-30,30-40,40-50,50-60},{5,18,42,27,8}}

422. Grouped data - kurtosis {{61,64,67,70,73},{5,18,42,27,8}}

423. Grouped data - kurtosis {{61,5},{64,18},{67,42},{70,27},{73,8}}

424. Grouped data - kurtosis {{10-20,15},{20-30,25},{30-40,20},{40-50,12},{50-60,8}}

425. Grouped data - kurtosis {{10-20,20-30,30-40,40-50,50-60},{5,18,42,27,8}}

426. Grouped data - Sample skewness {{61,64,67,70,73},{5,18,42,27,8}}

427. Grouped data - Sample skewness {{61,5},{64,18},{67,42},{70,27},{73,8}}

428. Grouped data - Sample skewness {{10-20,15},{20-30,25},{30-40,20},{40-50,12},{50-60,8}}

429. Grouped data - Sample skewness {{10-20,20-30,30-40,40-50,50-60},{5,18,42,27,8}}

430. Grouped data - Sample kurtosis {{61,64,67,70,73},{5,18,42,27,8}}

431. Grouped data - Sample kurtosis {{61,5},{64,18},{67,42},{70,27},{73,8}}

432. Grouped data - Sample kurtosis {{10-20,15},{20-30,25},{30-40,20},{40-50,12},{50-60,8}}

433. Grouped data - Sample kurtosis {{10-20,20-30,30-40,40-50,50-60},{5,18,42,27,8}}

434. Grouped data - Population skewness {{61,64,67,70,73},{5,18,42,27,8}}

435. Grouped data - Population skewness {{61,5},{64,18},{67,42},{70,27},{73,8}}

436. Grouped data - Population skewness {{10-20,15},{20-30,25},{30-40,20},{40-50,12},{50-60,8}}

437. Grouped data - Population skewness {{10-20,20-30,30-40,40-50,50-60},{5,18,42,27,8}}

438. Grouped data - Population kurtosis {{61,64,67,70,73},{5,18,42,27,8}}

439. Grouped data - Population kurtosis {{61,5},{64,18},{67,42},{70,27},{73,8}}

440. Grouped data - Population kurtosis {{10-20,15},{20-30,25},{30-40,20},{40-50,12},{50-60,8}}

441. Grouped data - Population kurtosis {{10-20,20-30,30-40,40-50,50-60},{5,18,42,27,8}}

442. Grouped data - quartile deviation {{10,11,12,13,14},{3,12,18,12,3}}

443. Grouped data - quartile deviation {{10,3},{11,12},{12,18},{13,12},{14,3}}

444. Grouped data - quartile deviation {{10-20,15},{20-30,25},{30-40,20},{40-50,12},{50-60,8}}

445. Grouped data - quartile deviation {{10-20,20-30,30-40,40-50,50-60},{15,25,20,12,8}}

446. Grouped data - coefficient of quartile deviation {{10,11,12,13,14},{3,12,18,12,3}}

447. Grouped data - coefficient of quartile deviation {{10,3},{11,12},{12,18},{13,12},{14,3}}

448. Grouped data - coefficient of quartile deviation {{10-20,15},{20-30,25},{30-40,20},{40-50,12},{50-60,8}}

449. Grouped data - coefficient of quartile deviation {{10-20,20-30,30-40,40-50,50-60},{15,25,20,12,8}}

450. Grouped data - Geometric mean {{61,64,67,70,73},{5,18,42,27,8}}

451. Grouped data - Geometric mean {{61,5},{64,18},{67,42},{70,27},{73,8}}

452. Grouped data - Geometric mean {{10-20,15},{20-30,25},{30-40,20},{40-50,12},{50-60,8}}

453. Grouped data - Geometric mean {{10-20,20-30,30-40,40-50,50-60},{5,18,42,27,8}}

454. Grouped data - Harmonic mean {{61,64,67,70,73},{5,18,42,27,8}}

455. Grouped data - Harmonic mean {{61,5},{64,18},{67,42},{70,27},{73,8}}

456. Grouped data - Harmonic mean {{10-20,15},{20-30,25},{30-40,20},{40-50,12},{50-60,8}}

457. Grouped data - Harmonic mean {{10-20,20-30,30-40,40-50,50-60},{5,18,42,27,8}}

458. Statistics Graph - histogram {{10-20,15},{20-30,25},{30-40,20},{40-50,12},{50-60,8}}

459. Statistics Graph - histogram {{10-20,20-30,30-40,40-50,50-60},{15,25,20,12,8}}

460. Statistics Graph - frequency polygon {{10-20,15},{20-30,25},{30-40,20},{40-50,12},{50-60,8}}

461. Statistics Graph - frequency polygon {{10-20,20-30,30-40,40-50,50-60},{15,25,20,12,8}}

462. Statistics Graph - frequency curve {{10-20,15},{20-30,25},{30-40,20},{40-50,12},{50-60,8}}

463. Statistics Graph - frequency curve {{10-20,20-30,30-40,40-50,50-60},{15,25,20,12,8}}

464. Statistics Graph - less than type cumulative frequency curve {{10-20,15},{20-30,25},{30-40,20},{40-50,12},{50-60,8}}

465. Statistics Graph - less than type cumulative frequency curve {{10-20,20-30,30-40,40-50,50-60},{15,25,20,12,8}}

466. Statistics Graph - more than type cumulative frequency curve {{10-20,15},{20-30,25},{30-40,20},{40-50,12},{50-60,8}}

467. Statistics Graph - more than type cumulative frequency curve {{10-20,20-30,30-40,40-50,50-60},{15,25,20,12,8}}

468. Ungrouped data - missing frequency, {18,14,15,19,15,a,12,15,16},mean=16

469. Ungrouped data - missing frequency, {-9,-4,a,5,8,11},median=2

470. Grouped data - missing frequency, {{5-10,10-15,15-20,20-25,25-30,30-35},{11,20,35,20,a,6}},mean=18.1

471. Grouped data - missing frequency, {{40-59,60-79,80-99,100-119,120-139},{50,?,500,?,50}},median=87.50,N=1000

472. Combined Mean, N1=40,X1=10,SD1=1,N2=60,X2=15,SD2=2

473. Combined Standard deviation, N1=40,X1=10,SD1=1,N2=60,X2=15,SD2=2

474. Combined Mean, Combined Standard deviation, N1=40,X1=10,SD1=1,N2=60,X2=15,SD2=2

475. Ungrouped data - mean deviation {85,96,76,108,85,80,100,85,70,95}

476. Grouped data - mean deviation {{10,11,12,13,14},{3,12,18,12,3}}

477. Ungrouped data - mean deviation about mean {85,96,76,108,85,80,100,85,70,95}

478. Grouped data - mean deviation about mean {{10,11,12,13,14},{3,12,18,12,3}}

479. Grouped data - mean deviation about mean {{10-20,15},{20-30,25},{30-40,20},{40-50,12},{50-60,8}}

480. Ungrouped data - mean deviation about median {85,96,76,108,85,80,100,85,70,95}

481. Grouped data - mean deviation about median {{10,3},{11,12},{12,18},{13,12},{14,3}}

482. Grouped data - mean deviation about median {{10-20,20-30,30-40,40-50,50-60},{15,25,20,12,8}}

483. Ungrouped data - mean deviation about mode {85,96,76,108,85,80,100,85,70,95}

484. Grouped data - mean deviation about mode {{10,3},{11,12},{12,18},{13,12},{14,3}}

485. Grouped data - mean deviation about mode {{10-20,15},{20-30,25},{30-40,20},{40-50,12},{50-60,8}}

486. Correlation Coefficient {{10,11,12,13,14},{3,12,18,12,3}}

487. Correlation Coefficient {{10,3},{11,12},{12,18},{13,12},{14,3}}

488. Correlation Coefficient {{10-20,15},{20-30,25},{30-40,20},{40-50,12},{50-60,8}}

489. Correlation Coefficient {{10-20,20-30,30-40,40-50,50-60},{15,25,20,12,8}}

490. Bivariate grouped data - Correlation Coefficient {{50-55,55-60,60-65,65-70},{90-100,100-110,110-120,120-130},{{4,7,5,2},{6,10,7,4},{6,12,10,7},{3,8,6,3}}}

491. Rank Correlation Coefficient {{35,40,42,43,40,53,54,49,41,55},{102,101,97,98,38,101,97,92,95,95}}

492. Rank Correlation Coefficient {1,6,5,10,3,2,4,9,7,8},{3,5,8,4,7,10,2,1,6,9},{6,4,9,8,1,2,3,10,5,7}

493. Regression line {{10,11,12,13,14},{3,12,18,12,3}}

494. Regression line {{10,3},{11,12},{12,18},{13,12},{14,3}}

495. Regression line {{10-20,15},{20-30,25},{30-40,20},{40-50,12},{50-60,8}}

496. Regression line {{10-20,20-30,30-40,40-50,50-60},{15,25,20,12,8}}

497. Bivariate grouped data - Regression line {{50-55,55-60,60-65,65-70},{90-100,100-110,110-120,120-130},{{4,7,5,2},{6,10,7,4},{6,12,10,7},{3,8,6,3}}}

498. Regression line xbar=39.5,ybar=47.5,SDx=10.8,SDy=15,r=0.42

499. Regression line sum x=130, sum y=220, sum x^2=2288, sum y^2=8822, sum xy=3467, n=10

500. Correlation Coefficient from regression lines 5y=9x-22,20x=9y+350

501. Method of Least Squares - Fit a straight line {{1996,1997,1998,1999,2000},{40,50,62,58,60}}

502. Method of Least Squares - Fit second degree parabola equation {{1996,1997,1998,1999,2000},{40,50,62,58,60}}

503. Method of Least Squares - Fit cubic equation {{1996,1997,1998,1999,2000},{40,50,62,58,60}}

504. Method of Least Squares - Linear fit {{1996,1997,1998,1999,2000},{40,50,62,58,60}}

505. Method of Least Squares - Quadratic fit {{1996,1997,1998,1999,2000},{40,50,62,58,60}}

506. Probability - Coin Calculator

507. Probability - Dice Calculator

508. Probability - Cards Calculator

509. Probability - Balls Calculator

510. Graph - plot y=x^2

511. Graph - plot x=y^2

512. Graph - plot 3x-y>=3, 5x+4y=1

513. Graph - plot x^3-6x^2+4x+12

514. Graph - plot sin x + cos x

515. Graph - plot sin x,cos x,tan x

516. Graph - plot number line 2,3,5,7,11,13

517. Graph - plot points on x axis 2,3,5,7,11,13

518. Graph - plot points on y axis 2,3,5,7,11,13

519. Graph - plot points (-1,2),(-3,4),(-5,6)

520. Graph - plot circle (x+1)^2+(y-1)^2<=10 Calculator

521. Graph - plot ellipse (x-2)^2/25+(y+1)^2/10=1 Calculator

522. Graph - plot parabola y=3(x+1)^2+1 Calculator

523. Graph - plot parabola x=3(y+1)^2+1 Calculator

524. Graph - plot hyperbola (x-2)^2/25-(y+1)^2/10>=5 Calculator

525. Graph - plot polar r=2+4*cos(t) Calculator

526. Coordinate geometry - find quadrant of (1,2)

527. Coordinate geometry - distance (7,8),(1,0)

528. Coordinate geometry - slope (7,8),(1,0)

529. Coordinate geometry - midpoint (-2,3) and (5,4)

530. Coordinate geometry - trisection points (-2,3) and (5,4)

531. Coordinate geometry - angle between 5x+2y-11=0 and 3x-y+11=0

532. Coordinate geometry - Reflection of A(0,0),B(2,2),C(0,4),D(-2,2)

533. Coordinate geometry - collinear A(4,1),B(-2,-3),C(6,7)

534. Coordinate geometry - collinear A(0,0),B(2,0),C(-4,0),D(-2,0)

535. Coordinate geometry - right angle triangle A(0,0),B(0,3),C(4,0)

536. Coordinate geometry - equilateral triangle A(2,5),B(8,5),C(5,10.196152)

537. Coordinate geometry - isosceles triangle A(2,2),B(-2,4),C(2,6)

538. Coordinate geometry - square A(0,0),B(2,2),C(0,4),D(-2,2)

539. Coordinate geometry - rectangle A(1,-1),B(-2,2),C(4,8),D(7,5)

540. Coordinate geometry - rhombus A(3,0),B(4,5),C(-1,4),D(-2,-1)

541. Coordinate geometry - parallelogram A(1,5),B(1,4),C(-1,3),D(-1,4)

542. Coordinate geometry - centroid of a triangle whose vertices are A(4,1),B(-2,-3),C(6,7)

543. Coordinate geometry - circumcentre of a triangle whose vertices are A(4,1),B(-2,-3),C(6,7)

544. Coordinate geometry - area of a triangle whose vertices are A(4,1),B(-2,-3),C(6,7)

545. Coordinate geometry - Slope Intercept 7y-4x+9=0

546. Coordinate geometry - Slope YIntercept 7y-4x+9=0

547. Coordinate geometry - XIntercept YIntercept of 7y-4x+9=0

548. Coordinate geometry - Slope XIntercept YIntercept of (3,-5),(-7,9)

549. Coordinate geometry - line through (5,4), slope=1/2

550. Coordinate geometry - line (3,5),(6,4)

551. Coordinate geometry - line m=2 and YIntercept=3

552. Coordinate geometry - line XIntercept=3 and YIntercept=-5

553. Coordinate geometry - line through intersection point of 5x+2y-11=0, 3x-y+11=0, parallel to 4x-3y+2=0

554. Coordinate geometry - line through intersection point of 5x+2y-11=0, 3x-y+11=0 and perpendicular to 4x-3y+2=0

555. Coordinate geometry - line through intersection point of 2x+3y+4=0, 3x+6y-8=0 and slope=2

556. Coordinate geometry - line through intersection point of 4x+5y+7=0, 3x-2y-12=0 and (3,1)

557. Coordinate geometry - line through (5,5) and parallel to 2x+3y+4=0

558. Coordinate geometry - line through (5,5) and perpendicular to 2x+3y+4=0

559. Matrix determinant - det [[10,-9,-12],[7,-12,11],[-10,10,3]]

560. Matrix adjoint - adj [[10,-9,-12],[7,-12,11],[-10,10,3]]

561. Matrix - adjugate [[1,2],[3,4]]

562. Matrix - transpose [[1,2],[3,4]]

563. Matrix - inverse [[10,-9,-12],[7,-12,11],[-10,10,3]]

564. Matrix - minor [[10,-9,-12],[7,-12,11],[-10,10,3]]

565. Matrix - cofactor [[10,-9,-12],[7,-12,11],[-10,10,3]]

566. Matrix - trace [[10,-9,-12],[7,-12,11],[-10,10,3]]

567. Matrix - Gauss Jordan Elimination inverse [[10,-9,-12],[7,-12,11],[-10,10,3]]

568. Matrix - Cayley Hamilton inverse [[10,-9,-12],[7,-12,11],[-10,10,3]]

569. Matrix addition - [[1,2],[3,4]] + [[2,-1],[-1,2]]

570. Matrix subtraction - [[1,2],[3,4]] - [[2,-1],[-1,2]]

571. Matrix multiplication - [[1,2],[3,4]] * [[2,-1],[-1,2]]

572. Matrix power - [[1,2],[3,4]]^2

573. Matrix addition - A=[[1,2],[3,4]], B=[[2,-1],[-1,2]], 2A+3B

574. Matrix power - A=[[1,2],[3,4]],A^3

575. Matrix determinant - A=[[10,-9,-12],[7,-12,11],[-10,10,3]], |A^2|

576. Matrix adjoint - A=[[10,-9,-12],[7,-12,11],[-10,10,3]], adj(A)

577. Matrix inverse - A=[[10,-9,-12],[7,-12,11],[-10,10,3]], A^-1

578. Matrix transpose - A=[[1,2],[3,4]], A'

579. Matrix - A = [[1,2],[3,4]], B = [[2,-1],[-1,2]], (A * B)' = B' * A'

580. Matrix - row reduction [[8,-6,2],[-6,7,-4],[2,-4,3]]

581. Matrix - reduce [[8,-6,2],[-6,7,-4],[2,-4,3]]

582. Matrix - rank [[8,-6,2],[-6,7,-4],[2,-4,3]]

583. Matrix - characteristic polynomial [[8,-6,2],[-6,7,-4],[2,-4,3]]

584. Matrix - eigenvalues [[8,-6,2],[-6,7,-4],[2,-4,3]]

585. Matrix - eigenvectors [[8,-6,2],[-6,7,-4],[2,-4,3]]

586. Matrix - triangular [[8,-6,2],[-6,7,-4],[2,-4,3]]

587. Matrix - diagonal [[8,-6,2],[-6,7,-4],[2,-4,3]]

588. Matrix - Jordan decomposition [[8,-6,2],[-6,7,-4],[2,-4,3]]

589. Matrix - lu decomposition [[8,-6,2],[-6,7,-4],[2,-4,3]]

590. Matrix - cholesky decomposition [[8,-6,2],[-6,7,-4],[2,-4,3]]

591. Matrix - qr decomposition [[1,-1,4],[1,4,-2],[1,4,2],[1,-1,0]]

592. Matrix - qr decomposition house holder [[1,-1,4],[1,4,-2],[1,4,2],[1,-1,0]]

593. Matrix - lq decomposition [[1,-1,4],[1,4,-2],[1,4,2],[1,-1,0]]

594. Matrix - pivots [[8,-6,2],[-6,7,-4],[2,-4,3]]

595. Singular Value Decomposition - SVD [[4,0],[3,-5]]

596. Moore-Penrose - Pseudoinverse [[4,0],[3,-5]]

597. Is Row matrix [[1,2,5]]

598. Is Column matrix [[1],[2],[5]]

599. Is Square matrix [[1,2,3],[4,5,6],[7,8,9]]

600. Is Horizontal matrix [[1,2,3],[4,5,6]]

601. Is Vertical matrix [[1,2],[4,5],[7,8]]

602. Is Diagonal matrix [[1,0,0],[0,5,0],[0,0,9]]

603. Is Identity matrix [[1,0,0],[0,1,0],[0,0,1]]

604. Is Scalar matrix [[2,0,0],[0,2,0],[0,0,2]]

605. Is Null matrix [[0,0,0],[0,0,0],[0,0,0]]

606. Is lower triangle matrix [[1,0,0],[2,3,0],[4,5,6]]

607. Is upper triangle matrix [[1,2,3],[0,4,5],[0,0,6]]

608. Is Orothogonal matrix [[0,1],[1,0]]

609. Is Singular matrix [[1,1,1],[1,1,1],[1,1,1]]

610. Is Nonsingular matrix [[1,2,3],[4,5,6],[7,8,9]]

611. Is Symmetric matrix [[1,2,3],[2,5,6],[3,6,9]]

612. Is SkewSymmetric matrix [[0,2,3],[-2,0,6],[-3,-6,0]]

613. Is Nilpotent matrix [[1,2,3],[1,2,3],[-1,-2,-3]]

614. Is Involutary matrix [[-5,-8,0],[3,5,0],[1,2,-1]]

615. Is Idempotent matrix [[2,-2,-4],[-1,3,4],[1,-2,-3]]

616. Is Periodic matrix [[1,-2,-6],[-3,2,9],[2,0,-3]]

617. Is Positive Definite matrix [[25,15,-5],[15,18,0],[-5,0,11]]

618. decide types of matrix - Is matrix [[-5,-8,0],[3,5,0],[1,2,-1]]

619. bisection method 2x^3-2x-5

620. bisection method 2x^3-2x-5, a=1, b=4

621. false position method 2x^3-2x-5

622. false position method 2x^3-2x-5, a=1, b=4

623. regula falsi method 2x^3-2x-5

624. regula falsi method 2x^3-2x-5, a=1, b=4

625. newton raphson method 2x^3-2x-5

626. newton raphson method 2x^3-2x-5, x0=1

627. newton raphson method 2x^3-2x-5, a=1, b=4

628. iteration method 2x^3-2x-5

629. iteration method 2x^3-2x-5, a=1, b=4

630. secant method 2x^3-2x-5

631. secant method 2x^3-2x-5, a=1, b=4

632. muller method 2x^3-2x-5

633. muller method 2x^3-2x-5, a=0, b=1, c=2

634. Birge-Vieta method x^4-3x^3+3x^2-3x+2, p=0.5

635. Multivariate Newton raphson method x^2+y^2-5=0, x^3+y^3-2=0 using initial solution 2, -1

636. Numerical Differentiation, 2x^3-4x+1, [2,4], x=2.1, h=0.25

637. Numerical Differentiation, 2x^3-4x+1, [2,4], x=3.5, N=4

638. Numerical Differentiation, {{1.4,1.6,1.8,2.0,2.2},{4.0552,4.9530,6.0496,7.3891,9.0250}},x=1.4

639. Numerical Differentiation, {{1.4,4.0552},{1.6,4.9530},{1.8,6.0496},{2.0,7.3891},{2.2,9.0250}},x=1.4

640. Euler method y'=-2x-y, y(0)=1, xn=0.5, h=0.1

641. Runge-Kutta method y'=-2x-y, y(0)=1, xn=0.5, h=0.1

642. Runge-Kutta 2 method y'=-2x-y, y(0)=1, xn=0.5, h=0.1

643. Runge-Kutta 3 method y'=-2x-y, y(0)=1, xn=0.5, h=0.1

644. Runge-Kutta 4 method y'=-2x-y, y(0)=1, xn=0.5, h=0.1

645. Adams bashforth predictor method y'=-2x-y, y(0)=1, x=5

646. Milne's simpson predictor corrector method y'=-2x-y, y(0)=1, x=5

647. Adams bashforth predictor method y'=(x+y)/2,{{0,0.5,1,1.5},{2,2.636,3.595,4.968}},x=2

648. Adams bashforth predictor method y'=(x+y)/2,{{0,2},{0.5,2.636},{1,3.595},{1.5,4.968}},x=2

649. Milne's simpson predictor corrector method y'=(x+y)/2,{{0,0.5,1,1.5},{2,2.636,3.595,4.968}},x=2

650. Milne's simpson predictor corrector method y'=(x+y)/2,{{0,2},{0.5,2.636},{1,3.595},{1.5,4.968}},x=2

651. Numerical Interpolation - Forward, 2x^3-4x+1, [2,4], x=2.1, h=0.25

652. Numerical Interpolation - Forward, 2x^3-4x+1, [2,4], x=2.1, N=4

653. Numerical Interpolation - Backward, 2x^3-4x+1, [2,4], x=2.1, h=0.25

654. Numerical Interpolation - Backward, 2x^3-4x+1, [2,4], x=2.1, N=4

655. Numerical Interpolation - Divided Difference, 2x^3-4x+1, [2,4], x=2.1, h=0.25

656. Numerical Interpolation - Divided Difference, 2x^3-4x+1, [2,4], x=2.1, N=4

657. Numerical Interpolation - Langrange's Interpolation, 2x^3-4x+1, [2,4], x=2.1, h=0.25

658. Numerical Interpolation - Langrange's Interpolation, 2x^3-4x+1, [2,4], x=2.1, N=4

659. Numerical Interpolation - Forward, {{0,1,2,3},{1,0,1,10}},x=2.1

660. Numerical Interpolation - Forward, {{0,1},{1,0},{2,1},{3,10}},x=2.1

661. Numerical Interpolation - Backward, {{0,1,2,3},{1,0,1,10}},x=2.1

662. Numerical Interpolation - Backward, {{0,1},{1,0},{2,1},{3,10}},x=2.1

663. Numerical Interpolation - Divided Difference, {{0,1,2,3},{1,0,1,10}},x=2.1

664. Numerical Interpolation - Divided Difference, {{0,1},{1,0},{2,1},{3,10}},x=2.1

665. Numerical Interpolation - Langrange's Interpolation, {{0,1,2,3},{1,0,1,10}},x=2.1

666. Numerical Interpolation - Langrange's Interpolation, {{0,1},{1,0},{2,1},{3,10}},x=2.1

667. Simpson rule, 1/x, [1,2], h=0.25

668. Simpson rule, 1/x, [1,2], N=5

669. Trapezoidal rule, 1/x, [1,2], h=0.25

670. Trapezoidal rule, 1/x, [1,2], N=5

671. Trapezoidal Simpson rule, 1/x, [1,2], h=0.25

672. Trapezoidal Simpson rule, 1/x, [1,2], N=5

673. Simpson rule, {{0.0,0.1,0.2,0.3,0.4},{1.0000,0.9975,0.9900,0.9776,0.8604}}

674. Simpson rule, {{0.0,1.0000},{0.1,0.9975},{0.2,0.9900},{0.3,0.9776},{0.4,0.8604}}

675. Trapezoidal rule, {{0.0,0.1,0.2,0.3,0.4},{1.0000,0.9975,0.9900,0.9776,0.8604}}

676. Trapezoidal rule, {{0.0,1.0000},{0.1,0.9975},{0.2,0.9900},{0.3,0.9776},{0.4,0.8604}}

677. Trapezoidal Simpson rule, {{0.0,0.1,0.2,0.3,0.4},{1.0000,0.9975,0.9900,0.9776,0.8604}}

678. Trapezoidal Simpson rule, {{0.0,1.0000},{0.1,0.9975},{0.2,0.9900},{0.3,0.9776},{0.4,0.8604}}

679. 1's complement subtraction 10110-11101

680. 2's complement subtraction 10110-11101

681. 7's complement subtraction 342-614

682. 8's complement subtraction 342-614

683. 9's complement subtraction 670-831

684. 10's complement subtraction 670-831

685. 15's complement subtraction B06-C7C

686. 16's complement subtraction B06-C7C

687. 1's complement 11101

688. 2's complement 11101

689. 7's complement 614

690. 8's complement 614

691. 9's complement 831

692. 10's complement 831

693. 15's complement C7C

694. 16's complement C7C

695. Is Boolean Algebra D8

696. Is Boolean Algebra D10

697. truth table p or q

698. truth table p or (q and r)=(p or q) and (p or r)

699. logical validity Hypothesis = p=>q,p=>r and Conclusion = p=>(q and r)

700. logical validity Hypothesis = p=>q;p and Conclusion = q

701. Game - Online Sudoku Creator and Solver

702. Game - Online Dots game

703. Game - 21 MatchStick Problem

704. Game - The Mind Reader Game

705. Game - Shift-It

706. Game - 2 Digit Number Guess

707. Game - Minesweeper

708. Game - Tic-Tac-Toe

709. Game - Chess With CPU

710. Game - Concentration

711. Game - Lights Out

712. Game - Three Glass Puzzle (MilkCane Problem)

713. Game - Peg

714. Game - Tower of Hanoi

715. Assignment problem (Using Hungarian method)

716. Travelling salesman problem using hungarian method

717. Travelling salesman problem using branch and bound (penalty) method

718. Travelling salesman problem using branch and bound method

719. Travelling salesman problem using nearest neighbor method

720. Crew assignment problem

721. Operation Research LPP - Simplex method

722. Operation Research LPP - BigM method

723. Operation Research LPP - Two-Phase method

724. Operation Research LPP - Graphical method

725. Operation Research LPP - Primal to dual conversion

726. Operation Research LPP - Dual Simplex method

727. Operation Research LPP - Integer Simplex method (Gomory's cutting plane method)

728. Operation Research LPP - Branch and Bound method

729. Operation Research LPP - 0-1 Integer programming problem

730. Operation Research LPP - Revised Simplex method

731. Transportation Problem - North-West corner method

732. Transportation Problem - Least cost method

733. Transportation Problem - Vogel's approximation method

734. Transportation Problem - Row minima method

735. Transportation Problem - Column minima method

736. Transportation Problem - Russells approximation method

737. Transportation Problem - Heuristic method-1

738. Transportation Problem - Heuristic method-2

739. Transportation Problem - Optimal solution using MODI method

740. Transportation Problem - Optimal solution using stepping stone method

741. PERT and CPM

742. Sequencing Problems

743. Replacement and Maintenance Models-1.1

744. Replacement and Maintenance Models-1.2

745. Replacement and Maintenance Models-1.3

746. Replacement and Maintenance Models-2

747. Replacement and Maintenance Models-3

748. Game theory Saddle Point

749. Game theory Dominance method

750. Game theory Algebraic method

751. Game theory Calculus method

752. Game theory Arithmetic method

753. Game theory Matrix method

754. Game theory 2Xn Games

755. Game theory Graphical method

756. Game theory LPP method

757. Game theory Bimatrix method

758. Word Problems - Problem on Ages Calculator

759. Word Problems - Unitary Method Calculator

760. Simple Interest - Find the simple interest on Rs 730 for 184 days at 25/4 % per annum.

761. Simple Interest - Find the simple interest on Rs 4660 for 5 years at 7/2 % per annum.

762. Simple Interest - The interest on a certain amount of money at 8 % per year for a period of 4 years is Rs 512 . Find the sum of money.

763. Simple Interest - Simple Interest on Rs 972 at 14 % per annum for a certain time is Rs 476.28 . Find the time ?

764. Simple Interest - Simple Interest on Rs 972 at a certain rate % per annum for 3.5 years is Rs 476.28 . Find the rate ?

765. Simple Interest - A sum of money lent at simple interest amounts to Rs 1008 in 2 years and to 1112 in 3 years Find the sum and the rate of interest.

766. Simple Interest - What sum of money lent out at simple interest at 9 % p.a. for 3/2 years will produce the same interest as Rs 2250 lent at 6 % p.a. for 5 years

767. Simple Interest - A man puts out Rs 500 for 4 years on simple interest and Rs 600 for 3 years The total interest he receives is Rs 190 . What is the rate percent per annum?

768. Simple Interest - A sum was put at simple interest at a certain rate for 2 years Had it been put at 3 % higher rate, it whould have fetched Rs 300 more. Find the sum.

769. Simple Interest - Divide Rs 16875 into two parts such that the interest at 7/2 % p.a. for 2 years on one part is equal to the other at 4 % p.a. for 5 years

770. Simple Interest - A shopkeeper borrowed Rs 20000 from two money lendeRs For one loan he paid 12 % and for the other 14 % per annum. After 1 year, he paid Rs 2560 as interest. How much did he borrow at each rate ?

771. Simple Interest - At what rate percent per annum will sum of money double in 8 years?

772. Simple Interest - Rajeev deposited money in the post office which is doubled in 20 years at a simple rate of interest. In how many years will the original sum triple itself ?

773. Compound Interest - Calculate Compound Interest and amount on Rs 4500 at 10 % per annum in 3 years

774. Compound Interest - Calculate Compound Interest and amount on Rs 625 for 2 years at 9 %, compounded half-yearly.

775. Compound Interest - Calculate Compound Interest on Rs 8000 for 9 months at 20 % per annum, compounded quartely .

776. Compound Interest - What sum of money becomes Rs 9261 in 3 years at 5 % per annum, compounded annually ?

777. Compound Interest - What will Rs 25000 amounts to in two years at Compound Interest if the rates for successive years be 4 % and 5 % per year.

778. Compound Interest - A sum of money amounts to Rs 6690 after 3 years and to Rs 10035 after 6 years on compound interest. Calculate the sum of money.

779. Compound Interest - A man borrows Rs 2500 at 5 % simple interest for 2 years He immediately lends this money at compound interest at the same rate for the same time. What is the additional amount he gets at the ends of the years correct to nearest rupee?

780. Compound Interest - The difference between the compound interest and the simple interest on a certain sum at 10 % per annum for 2 years is Rs 52 . Find the sum.

781. Compound Interest - If the compound interest on a certain sum for 3 years at 10 % per annum be Rs 331, what would be the simple interest ?

782. Compound Interest - A sum of money 2 times itself at compound interest in 15 years In how many years, it will become 8 times of itself ?

783. Percentage - What is 20 % of 80 .

784. Percentage - 42 is 3 % of what.

785. Percentage - What percent of 65 is 130 .

786. Percentage - A's annual income is increased/decreased from Rs 60000 to Rs 75000 . Find the percentage of increase in A's income.

787. Percentage - In a school of 225 boys, 15 were absent then what percent were present ?

788. Percentage - A earns 25 % more than B. By what percent does B earn less then A.

789. Percentage - A reduction of 20 % in the price of basmati rice would enable a man to buy 2 kg of rice more for Rs 250 . Find the reduced price per kg.

790. Percentage - The price of tea has gone up by 20 %. By how much percent should its consumption be reduced so as not to increase the expenditure?

791. Percentage - Find the selling price of an item, of which the printed price is Rs 25000 if the successive discounts given are 10 %, 8 % and 4 %.

792. Percentage - The successive discount of 10 % and 5 % are given on the purchased Computer. If the final price of the Computer is Rs 10260 , then find the printed price of the Computer.

793. Percentage - 130 is what percent of 65 .

794. Percentage - What is the percentage increase/decrease from 20 to 40 ?

795. Profit Loss Discount - Find selling price when cost price = Rs 50, Loss/Gain = 10 % .

796. Profit Loss Discount - Find cost price when selling price = 55 , Loss/Gain = 10 %

797. Profit Loss Discount - Find Loss/Gain % when cost price = 50 and selling price = 55 .

798. Profit Loss Discount - By selling an article for Rs 110 a man loses 12 %. For how much should he sell it to gain 8 %.

799. Profit Loss Discount - A man sells two houses for Rs 536850 each. On one he gains and on the other he loses 5 %. Find his gain or loss % on the whole transaction.

800. Profit Loss Discount - If selling price of 10 articles is the same as the cost price of 12 articles, find the gain %.

801. Profit Loss Discount - By selling 100 pencils, a shopkeeper gains the selling price of 20 pencils. Find the gain percent.

802. Profit Loss Discount - A dishonest dealer professes to sell his goods at cost price but uses a weight of 960 grams for 1000 grams. Find the gain percent.

803. Profit Loss Discount - If the marked price of an article is Rs 380 and a discount of 5 % is given on it, what is the selling price ?

804. Profit Loss Discount - If 12 % is allowed as discount on a radio and its selling price is Rs 836 , what is its marked price ?

805. Profit Loss Discount - A cycle dealer marks his goods 25 % above his cost price and allows a discount of 8 % on it. Find his gain percent.

806. Profit Loss Discount - Successive discounts of 20 % and 10 % equivalent to a single discount of how many percent?

807. Profit Loss Discount - If a commission of 10 % is given on the list price, the gain is 20 %. Find the gain percent, if the commission is increased to 20 %.

808. Profit Loss Discount - If the manufacturer gives 20 % commission to the dealer on the printed price and if the dealer sells the item at the printed price, what is the percentage of his profit ?

809. Profit Loss Discount - A dealer gets 25 % commission on the printed price of an item. If he gives 10 % discount to the customer on printed price, find his prifit in percentage.

810. Profit Loss Discount - The printed price of a saree is Rs 900 . A cloth-mearchant purchases it at 15 % commission. He spends Rs 35 for roll-polish and then sells the saree at the printed price. What is the prifit of the merchant in percentage ?

811. Profit Loss Discount - A carpenter made a table which cost him Rs 1500 . He decided the price so that he would get 20 % profit. He gave 8 % commission on the decided price while selling. Find the sales price of the table and the profit of the carpenter.

812. Profit Loss Discount - The printed price of a book is Rs 720 . After giving 10 % discount to the customer on the printed price, the book-seller gets 20 % profit. Find the purchase price for the book-seller.

813. Profit Loss Discount - If 20 % discount is given on the decided price which is decided by addition of 20 % profit on the purchase price, then will there be profit or loss? What is the percentage?

814. Profit Loss Discount - A watch manufacturing company decided the price with 25 % profit on the cost price. By selling a watch with 8 % discount on th printed price, the company has a profit of Rs 300 . Find the cost-price of a watch.

815. Profit Loss Discount - If the sales price of 12 pens is fixed as the original price of 15 pens, then what percentage of profit is earned in the deal ?

816. Statistics Wording Problem - The mean of 10 observations is 12.5 . While calculating the mean one observation was by mistake taken as -8 instead of +8 . Find the correct mean.

817. Statistics Wording Problem - The mean of 10 observations is 35 . While calculating the mean two observations were by mistake taken as 35 instead of 25 and 30 instead of 45 . Find the correct mean.

818. Statistics Wording Problem - The mean of 15 observations is 16.4 . If we remove one observation from it then the mean of remaining observations is 17 , then find out the removed observation ?

819. Statistics Wording Problem - The sum of 15 observation is 343 . If we remove two observation 18 and 26 , then find out the mean of remaining observations.

820. Statistics Wording Problem - The mean of 5 observations is 20 . If we add one new observation then the new mean of the observations is 25 . So find out new added observation.

821. Statistics Wording Problem - The mean of observation is 10 . If we add 2 and then multiply or divide by 3 in each observation, then find the new mean ?

822. HCF LCM - The HCF of two numbers is 14 and their LCM is 11592 . If one of the numbers is 504 , find the other?

823. HCF LCM - Find the largest number which can exactly divide 513,783,1107 .

824. HCF LCM - Find the smallest number exactly divisible by 12,15,20,27 .

825. HCF LCM - Find the least number which when divided by 6,7, 8, 9,12 leaves the same remainder 2 in each case.

826. HCF LCM - Find the largest number which divides 77 , 147 , 252 to leave the same remainder in each case.

827. HCF LCM - Greatest number which can divide 1354 , 1806 , 2762 leaving the same remainder 10 in each case.

828. HCF LCM - The greatest number that will divide 1657 , 2772 leaving respectively 6 , 5 as remainder.

829. HCF LCM - The greatest number that will divide 290 , 460 , 552 leaving respectively 4 , 5 , 6 as remainder.

830. HCF LCM - The product of HCF and LCM of 18 and 16 is

831. HCF LCM - LCM of two numbers is 14 times their HCF. The sum of LCM and HCF is 600 . If one number is 280 , then find the other number ?

832. HCF LCM - Find the least number which is exactly divided by 28,36,45 when we add 19 to it

833. Installment - A briefcase is available for Rs 800 cash or for Rs 500 cash down payment and Rs 320 to be paid after 6 months. Find the rate of interest charged under the installment plan.

834. Installment - A bicycle is sold for Rs 1800 cash or for Rs 600 cash down payment followed by 2 monthly installmnets of Rs 610 each. Compute the rate of the interest charged under the installment scheme.

835. Installment - A washing machine is available at Rs 6400 cash or for Rs 1400 cash down payment and 5 monthly installments of Rs 1030 each. Calculate the rate of interest charged under the instalment plan.

836. Installment - A computer is sold by a company for Rs 19200 cash or for Rs 4800 cash down payment together with 5 equal monthly installments. If the rate of interest charged by the company is 12 % per annum, find each installment.

837. Installment - A State Government announces sale of flats of Rs 555000 cash or Rs 42750 cash down payment and 3 equal Yearly installments. The Government also charges a nominal interest at the rate of 8 % per annum copuounded as installment plan in this welfare scheme.

838. Installment - A man borrows money from a finance company and has to pay it back in 2 equal Half Yearly installments of Rs 4945 each. If the interest is charged by the finance company at the rate of 15 % per annum compounded as installment plan, find the principal and t

839. Installment - A TV set is available for Rs 19650 cash payment or for Rs 3100 cash down payment and 3 equal Yearly installments. If the shopkeeper charges interest at the rate of 10 % per annum compounded as installment plan, calculate the amount of each installment.

840. Installment - Ram borrowed a sum of money and returned it in 3 equal Quarterly installments of Rs 17576 each. Find the sum borrowed, if the rate of interest charged was 16 % per annum compounded as installment plan. Find also the total interest charged.

841. Arithmetic Progression - For given arithemetic progression series 7,3,-1,-5,-9 ,... find 10 th term and addition of first 10 th terms.

842. Arithmetic Progression - For arithemetic progression f( 5 ) = 56 , f( 8 ) = 86 then find f( 10 ) and S( 10 ).

843. Arithmetic Progression - For arithemetic progression f( 5 ) = 25 , f( 11 ) = 49 , then find n such that f(n) = 105 .

844. Arithmetic Progression - For arithemetic progression S( 33 ) = 198 , then find f( 17 ).

845. Arithmetic Progression - For arithemetic progression f( 17 ) = 6 , then find S( 33 ).

846. Arithmetic Progression - For arithemetic progression f( 7 ) = 13 , S( 14 ) = 203 , then find f( 10 ) and S( 8 ).

847. Arithmetic Progression - For arithemetic progression addition of 3 terms is 27 and their multiplication is 648 , then that numbers

848. Arithmetic Progression - For arithemetic progression addition of first 17 terms is 24 and addition of first 24 terms is 17 , then find addition of first 41 terms.

849. Arithmetic Progression - For arithmetic progression Sm = n and Sn = m then prove that Sm+n = -(m - n)

850. Arithmetic Progression - For arithmetic progression Sm = n and Sn = m then prove that Sm-n = (m - n)(1 + 2n / m)

851. Arithmetic Progression - Find the sum of all natural numbers between 100 to 200 and which are divisible by 4 .

852. Arithmetic Progression - Find the sum of all natural numbers between 100 to 200 and which are not divisible by 4 .

853. Arithmetic Progression - For arithemetic progression addition of three terms is 15 and addition of their squres is 83 , then find that numbers

854. Arithmetic Progression - If S1, S2, S3 are sum of n, 2n, 3n terms of arithmetic progression series then prove that S3 = 3(S2 - S1)

855. Arithmetic Progression - If Sn is sum of n even terms of arithmetic progression series and Sn' is sum of n odd terms of arithmetic progression series then prove that Sn = (1 + 1/n) Sn'

856. Arithmetic Progression - For arithemetic progression, addition of three terms is 51 and multiplication of end terms is 273 , then find that numbers

857. Arithmetic Progression - For arithemetic progression of four terms, addition of end terms is 14 and multiplication of middle two terms is 45 , then find that numbers

858. Arithmetic Progression - For arithemetic progression, addition of four terms is 4 and addition of multiplication of end terms and multiplication of middle terms is -38 , then find that numbers

859. Geometric Progression - For given geometric progression series 3,6,12,24,48 ,... find 10 th term and addition of first 10 th terms.

860. Geometric Progression - For given geometric progression series 3,6,12,24,48 ,... then find n such that S(n) = 3069 .

861. Geometric Progression - For given geometric progression series 3,6,12,24,48 ,... then find n such that f(n) = 1536 .

862. Geometric Progression - For geometric progression f( 1 ) = 2 , f( 4 ) = 54 then find f( 3 ) and S( 3 ).

863. Geometric Progression - For geometric progression f( 1 ) = 2 , f( 4 ) = 54 , then find n such that f(n) = 18 .

864. Geometric Progression - For geometric progression addition of 3 terms is 26 and their multiplication is 216 , then that numbers

865. Geometric Progression - For geometric progression multiplication of 5 terms is 1 and 5 th term is 81 times then the 1 th term.

866. Geometric Progression - Arithmetic mean of two number is 13 and geometric mean is 12 , then find that numbers

867. Geometric Progression - Two numbers are in the ratio 9 : 16 and difference of arithmetic mean and geometric mean is 1 , then find that numbers

868. Geometric Progression - Find 6 arithmetic mean between 3 and 24 .

869. Geometric Progression - Find 3 geometric mean between 1 and 256 .

870. Geometric Progression - Prove that 1 + (1 + 2) + (1 + 2 + 3) + ... n terms = n/6 (n + 1) (n + 2)

871. Geometric Progression - Prove that 1 * (2^2 - 3^2) + 2 * (3^2 - 4^2) + 3 * (4^2 - 5^2) + ... n terms = n/6 (n + 1) (4n + 11)

872. Geometric Progression - 1 + x^4 + 3^2 + 4 + x^6 + 6^2 + 7 + x^8 + 9^2 + ... 3n terms

873. Geometric Progression - 1 + (1 + 3) + (1 + 3 + 5) + ... n terms

874. Geometric Progression - Prove that for all n belongs to N, 1^2 * n + 2^2 * (n - 1) + 3^2 * (n - 2) + ... + n^2 * 1 = n/12 (n + 1)^2 (n + 2)

875. Geometric Progression - Prove that 1 * 2^2 + 3 * 5^2 + 5 * 8^2 + ... n terms = n/2 (9n^3 + 4n^2 - 4n - 1)

876. Geometric Progression - Prove that 1^2 + (1^2 + 2^2) + (1^2 + 2^2 + 3^2) + ... n terms = n/12 (n + 1)^2 (n + 2)

877. Geometric Progression - Prove that 2 + 5 + 10 + 17 + ... n terms = n/6 (2n^2 + 3n + 7)

878. Geometric Progression - Prove that sum [ sum (2n -3) ] = n/6 (n + 1)(2n - 5)