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
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
1.2 Grouped data
Class 50-55 45-50 40-45 35-40 30-35 35-30 20-25 f 25 30 40 45 80 110 170

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
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
1.3 Mixed data
Class 1 2 5 6-10 10-20 20-30 30-50 50-70 70-100 f 3 4 10 23 20 20 15 3 2

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.
Class 5 - 10 10 - 15 15 - 20 20 - 25 25 - 30 30 - 35 f 11 20 35 20 a 6

2. The mean of a frequency distribution of 40 persons is 16.5. Find the 2 missing frequencies.
Class 0 - 5 5 - 10 10 - 15 15 - 20 20 - 25 25 - 30 30 - 35 f 1 7 11 ? ? 4 2

3. The median and mode of a frequency distribution of 230 person are 33.50 and 34 respectively. Find the 3 missing frequencies.
Class 0 - 10 10 - 20 20 - 30 30 - 40 40 - 50 50 - 60 60 - 70 f 4 16 ? ? ? 6 4

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.

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

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.
Marks 0-10 10-20 20-30 30-40 40-50 50-60 60-70 No. of student 6 5 8 15 7 6 3

9. Spearman's Rank Correlation Coefficient (RHO)
1. Ten participants in a contest are ranked by two judges as follows
2. Obtain the rank correlation coefficient for the following data.
X 68 64 75 50 64 80 75 40 55 64 Y 62 58 68 45 81 60 68 48 50 70

13. ANOVA - analysis of variance
1. One-way ANOVA
2. Two-way ANOVA
Solve using One-way ANOVA method
Observation A B C D 1 421 325 320 362 2 118 102 122 56 3 591 518 552 509 4 14 26 20 2 5 116 14 26 46