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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. 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

1.2 Grouped data

Class  5055  4550  4045  3540  3035  3530  2025  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

1.3 Mixed data

Class  1  2  5  610  1020  2030  3050  5070  70100  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

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

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  010  1020  2030  3040  4050  5060  6070  No. of student  6  5  8  15  7  6  3 

8. Pearson's Correlation Coefficient

1. for X & Y or ClassX & Y

Calculate correlation coefficient for following weights fathers X and their sons Y
X  65  66  67  67  68  69  70  72  Y  67  68  65  68  72  72  69  71 

2. for bivariate grouped data

Calculate the correlation coefficient
ClassY ClassX  90100  100110  110120  120130  5055  4  7  5  2  5560  6  10  7  4  6065  6  12  10  7  6570  3  8  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 




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