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Educational Level Secondary school, High school and College
Program Purpose Provide step by step solutions of your problems using online calculators (online solvers)
Problem Source Your textbook, etc

1.1 Ungrouped data 85,96,76,108,85,80,100,85,70,95
1. Mean, Median and Mode for ungrouped data
2. Quartile, Decile, Percentile, Octile, Quintile for ungrouped data
3. Population Variance, Standard deviation and coefficient of variation for ungrouped data
4. Sample Variance, Standard deviation and coefficient of variation for ungrouped data
5. Population Skewness, Kurtosis for ungrouped data
6. Sample Skewness, Kurtosis for ungrouped data
7. Geometric mean, Harmonic mean for ungrouped data
8. Mean deviation, Quartile deviation, Decile deviation, Percentile deviation for ungrouped data
9. Five number summary for ungrouped data
10. Box and Whisker Plots for ungrouped data
11. Construct an ungrouped frequency distribution table
12. Construct a grouped frequency distribution table
13. Maximum, Minimum for ungrouped data
14. Sum, Length for ungrouped data
15. Range, Mid Range for ungrouped data
16. Stem and leaf plot for ungrouped data
17. Ascending order, Descending order for ungrouped data
1.2 Grouped data
Class50-5545-5040-4535-4030-3535-3020-25
f2530404580110170
1. Mean, Median and Mode for grouped data
2. Quartile, Decile, Percentile, Octile, Quintile for grouped data
3. Population Variance, Standard deviation and coefficient of variation for grouped data
4. Sample Variance, Standard deviation and coefficient of variation for grouped data
5. Population Skewness, Kurtosis for grouped data
6. Sample Skewness, Kurtosis for grouped data
7. Geometric mean, Harmonic mean for grouped data
8. Mean deviation, Quartile deviation, Decile deviation, Percentile deviation for grouped data
9. Five number summary for grouped data
10. Box and Whisker Plots for grouped data
11. Mode using Grouping Method for grouped data
12. Less than type Cumulative frequency table for grouped data
13. More than type Cumulative frequency table for grouped data
14. Class and their frequency table for grouped data
1.3 Mixed data
Class1256-1010-2020-3030-5050-7070-100
f34102320201532
1. Mean, Median and Mode for mixed data
2. Population Variance, Standard deviation and coefficient of variation for mixed data
3. Sample Variance, Standard deviation and coefficient of variation for mixed data



2. Missing frequency for
1. Ungrouped data The Mean of the observations `18,14,15,19,15,a,12,15,16` is `16`. Find missing frequency `a`
2. Grouped data 1. Mean of the following distribution is 18.1. Find the 1 missing frequency.
Class5 - 1010 - 1515 - 2020 - 2525 - 3030 - 35
f11203520a6

2. The mean of a frequency distribution of 40 persons is 16.5. Find the 2 missing frequencies.
Class0 - 55 - 1010 - 1515 - 2020 - 2525 - 3030 - 35
f1711??42

3. The median and mode of a frequency distribution of 230 person are 33.50 and 34 respectively. Find the 3 missing frequencies.
Class0 - 1010 - 2020 - 3030 - 4040 - 5050 - 6060 - 70
f416???64

3. Statistics Word 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.

4. Statistics Graph
1. Histogram
2. Frequency Polygon
3. Frequency Curve
4. Less than type cumulative frequency curve
5. More than type cumulative frequency curve
6. Ogive (cumulative frequency curve)
7. Frequency polygon with the help of Histogram
8. Frequency curve with the help of Histogram
1. Simple bar graph
2. Multiple bar graph
3. Percentage bar graph
4. Simple stacked bar chart
5. Percentage stacked bar chart
6. Pie Chart
7. Donut Chart
8. Scatter Plot | XY Graph
9. Line Graph
The frequency distribution of the marks obtained by 100 students in a test of Mathematics carrying 50 marks is given below. Draw Histogram, Frequency Polygon, Frequency Curve, Less than type cumulative frequency curve and More than type cumulative frequency curve of the data.
Marks obtained0 - 910 - 1920 - 2930 - 3940 - 49
number of students815204512

5. Arithmetic Mean, Geometric Mean, Harmonic Mean
1. Find Arithmetic mean, Geometric mean, Harmonic mean Find Arithmetic mean, Geometric mean, Harmonic mean for ungrouped data like 2,3,4,5,6
2. Find X from Arithmetic mean, Geometric mean, Harmonic mean Find X where Arithmetic mean=3.5 for ungrouped data 2,3,X,5
3. Find Mean or Median or Mode from other two's Find Mode when Mean=3 and Median=4

6. Combined mean and
combined standard deviation
Find the combined standard deviation from the following data.
AB
number of Observations4060
Average1015
S.D.12



7. Mean deviation about mean for
1. Ungrouped data 85,96,76,108,85,80,100,85,70,95
2. Grouped data Calculate mean deviation about mean for the following distribution.
Marks0-1010-2020-3030-4040-5050-6060-70
No. of student65815763

8. Pearson's Correlation Coefficient
1. For X & Y or Class-X & Y
a. Correlation Coefficient r
b. Covariance - Population Covariance, Sample Covariance
Calculate correlation coefficient for following weights fathers X and their sons Y
X6566676768697072
Y6768656872726971
2. For bivariate grouped data
a. Correlation Coefficient r
b. Covariance - Population Covariance, Sample Covariance
Calculate the correlation coefficient
Class-Y
Class-X
90-100100-110110-120120-130
50-554752
55-6061074
60-65612107
65-703863

9. Spearman's Rank Correlation Coefficient (RHO) 1. Ten participants in a contest are ranked by two judges as follows
X16510324978
Y64981231057
2. Obtain the rank correlation coefficient for the following data.
X68647550648075405564
Y62586845816068485070

10. Regression line equations
1. Find the equation of two regression lines, also estimate Find the equation of regression line equations and correlation coefficient from the following data.
X28414038353346323633
Y30343134302628312631
2. Find Correlation Coefficient from two Regression line equations The regression equation of two variables are 5y = 9x - 22 and 20x = 9y + 350. Find the means of x and y. Also find the value of r.
3. Find Regression line equations using mean, standard deviation and correlation correlation (r) The following information is obtained form the results of examination
Marks in StatsMarks in Maths
Average39.547.5
S.D.10.816.8
The correlation coefficient between x and y is 0.42. Obtain two regression line equations and estimate y for x = 50 and x for y = 30.
4. Find Regression line equations from `sum x, sum y, sum x^2, sum y^2, sum xy, n` The following information is obtained for two variables x and y. Find the regression equations of y on x.
`sum xy` = 3467`sum x` = 130`sum x^2` = 2288
n = 10`sum y` = 220`sum y^2` = 8822

11. Regression line equations for bivariate grouped data Find Regression Lines
Class-Y
Class-X
90-100100-110110-120120-130
50-554752
55-6061074
60-65612107
65-703863

12. Curve Fitting - Method of Least Squares
1. Fitting straight line `(y=a+bx)`
2. Fitting second degree parabola `(y=a+bx+cx^2)`
3. Fitting cubic equation `(y=a+bx+cx^2+dx^3)`
4. Fitting exponential equation `(y=ae^(bx))`
5. Fitting exponential equation `(y=ab^x)`
6. Fitting exponential equation `(y=ax^b)`
Fit a straight line, second degree parabola, cubic equation for the following data on production.
Year19961997199819992000
Production4050625860

13. ANOVA - analysis of variance
1. One-way ANOVA
2. Two-way ANOVA
Solve using One-way ANOVA method
ObservationABCD
1421325320362
211810212256
3591518552509
41426202
5116142646



14. Distribution tables
1. Normal Distribution(Z)
2. t Distribution
3. Chi square Distribution
4. F Distribution
5. Binomial Distribution

15. Parametric test
1. F test: 2 sample
2. t-test: 1 sample, 2 sample
3. Standard error: 1 sample

16. Non parametric test
1. Sign test: 1 sample, 2 sample
2. Mann whitney U test: 2 sample
3. Kruskal-wallis test: K sample
4. Chi square test: 1 Sample, K Sample
5. Median test: 1 sample, 2 sample
6. Mood's Median test: 2 sample

17. Permutation & combination
1. Find `n!`
2. Find `(n!)/(m!)`
3. Find `{::}^nP_r`
4. Find `{::}^nC_r`
5. How many words can be formed from the letters of the word daughter?
6. How many ways a committee of players can be formed ?
7. Permutation, Combination List

18. Probability
1. Coin
2. Dice
3. Cards
4. Balls

19. Time Series and Forecasting
1. Simple Moving Average
2. Weighted Moving Average
3. Exponential Moving Average
4. Single Exponential Smoothing
5. Simple Moving Average forecast
6. Weighted Moving Average forecast
7. Exponential Moving Average forecast
8. Single Exponential Smoothing forecast

20. Index Number
1.1 Fixed base method
1.2 Chain base method

2. Unweighted Index Number
2.1 Simple Aggregative Method
2.2 Simple Average of Price Relative Method (using the arithmetic mean)
2.3 Simple Average of Price Relative Method (using the geometric mean)

3.1 Fixed base method for bivariate grouped data
3.2 Chain base method for bivariate grouped data

4.1 Conversion of fixed base index numbers into chain base index numbers
4.2 Conversion of chain base index numbers into fixed base index numbers

5. Weighted Index Numbers
5.1 Laspeyre's price index number
5.2 Paasche's price index number
5.3 Fisher's price index number
5.4 Marshall Edgeworth's price index number
5.5 Dorbish-Bowley's price index number
5.6 Kelly's price index number
5.7 Walsh's price index number

6.1 Weighted aggregate method
6.2 Weighted average of price relatives method

7. Cost of living Index number
7.1 Aggregate expenditure method
7.2 Family budget method






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