Home > Statistical Methods calculators

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. Quartiles, Deciles and Percentiles 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
1.2 Grouped data
Class50-5545-5040-4535-4030-3535-3020-25
f2530404580110170
1. Mean, Median and Mode for grouped data
2. Quartiles, Deciles and Percentiles 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
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 The mean of a frequency distribution of 40 persons is 16.5. Find the missing frequencies.
Class0 - 55 - 1010 - 1515 - 2020 - 2525 - 3030 - 35
f1711??42

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
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 Calculate correlation coefficient for following weights fathers X and their sons Y
X6566676768697072
Y6768656872726971
2. for bivariate grouped data 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 a straight line `(y=a+bx)`
2. Fitting a second degree parabola `(y=a+bx+cx^2)`
3. Fitting a cubic equation `(y=a+bx+cx^2+dx^3)`
Fit a straight line, second degree parabola, cubic equation for the following data on production.
Year19961997199819992000
Production4050625860

13. 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

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


 
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