The standard deviation and mean of a data are 6.5 and 12.5 respectively. Find the coefficient of variation.

 



The standard deviation and mean of a data are 6.5 and 12.5 respectively. Find the coefficient

of variation.


The coefficient of variation (CV) is a relative measure of variability that expresses the standard deviation as a percentage of the mean. It is calculated by dividing the standard deviation by the mean and multiplying the result by 100.


Given that the standard deviation is 6.5 and the mean is 12.5, we can calculate the coefficient of variation as follows:


Coefficient of Variation (CV) = (Standard Deviation / Mean) * 100

= (6.5 / 12.5) * 100

= 0.52 * 100

= 52


Therefore, the coefficient of variation is 52%.



OR

(below answer is solved by using python)


To calculate the coefficient of variation (CV) using Python, you can divide the standard deviation by the mean and multiply the result by 100. Here's an example code snippet:


CODE:-

standard_deviation = 6.5

mean = 12.5


coefficient_of_variation = (standard_deviation / mean) * 100


print("Coefficient of Variation:", coefficient_of_variation)

When you run this code, it will output:



Coefficient of Variation: 52.0

Therefore, the coefficient of variation is 52%.






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