The coefficient of variation of two distributions are and , and their arithmetic means are and , respectively. The difference in their standard deviation is
Explanation for the correct option:
Finding the difference between two standard deviations.
Given:
The coefficient of variance of first distribution be
The coefficient of variance of second distribution be
The arithmetic mean of first distribution be
The arithmetic mean of Second distribution be
We know that,
Where denotes the standard deviation, denotes mean.
The standard deviation for the first distribution be
similarly,
The standard deviation for the second distribution be
Calculate the difference between two standard deviation:
Hence, Option(D) is the correct answer.