Q2 of 108 Page 32

The means and standard deviations of heights and weights of 50 students in a class are as follows:


Which shows more variability, heights or weights?

Given, The mean and SD is given of 50 students.

To Find: which shows more variability, height and weight.


The formula used: Coefficient of variations =


Explanation:


The coefficient of variations in weights =



The coefficient of variations in weights =



As results clearly show that Cv heights is greater than Cv in weights.


Hence, Heights will show more variability than weights


More from this chapter

All 108 →
10

Calculate the mean, variance and standard deviation of the following frequency distribution:

 1

Two plants A and B of a factory show the following results about the number of workers and the wages paid to them


In which plant A or B is there greater variability in individual wages?

 3

The coefficient of variation of two distribution are 60% and 70%, and their standard deviations are 21 and 16 respectively. What is their arithmetic means?

 4

Calculate coefficient of variation from the following data :