If the mean and coefficient of variation of a data set are 25.6 and 18.75 respectively then find the standard deviation for the same data set.

Concept:

Calculation:

Given: For a data set the mean and coefficient of variation are 25.6 and 18.75 respectively

Here, we have to find the standard deviation for the same observations.

Let the standard deviation be x

As we know, 

⇒ 

⇒ x = 4.8

Hence,  option A is the correct answer.

Adding a constant to each value: The median, mean, and quartiles will be changed by adding a constant to each value. However, the range, interquartile range, standard deviation and variance will remain the same.

Multiplying every value by a constant: however, will multiply the mean, median, quartiles, range, interquartile range, and standard deviation by that constant, and multiply the variance by the square of that constant.