Consider the following sets of sample data:

A: $98,100,93,71,73,79,89,82,82,84,79,71,91,72$
B: $15,33,16,40,30,34,31,38,29,28,24$

Step 1 of 2: For each of the above sets of sample data, calculate the coefficient of variation, CV. Round to one decimal place.

Answer

Step 1 ：Given two sets of sample data: A: \(98,100,93,71,73,79,89,82,82,84,79,71,91,72\) and B: \(15,33,16,40,30,34,31,38,29,28,24\)

Step 2 ：The coefficient of variation (CV) is a statistical measure of the relative dispersion of data points in a data series around the mean. It is calculated as the ratio of the standard deviation to the mean and is often expressed as a percentage.

Step 3 ：To calculate the CV for each set of data, we need to: 1. Calculate the mean of the data set. 2. Calculate the standard deviation of the data set. 3. Divide the standard deviation by the mean and multiply by 100 to get the CV.

Step 4 ：For set A, the mean is \(83.14285714285714\), the standard deviation is \(9.4782242373705\), so the CV is \(\frac{9.4782242373705}{83.14285714285714} \times 100 = 11.4\%\)

Step 5 ：For set B, the mean is \(28.90909090909091\), the standard deviation is \(7.621197060048977\), so the CV is \(\frac{7.621197060048977}{28.90909090909091} \times 100 = 26.4\%\)

Step 6 ：Final Answer: The coefficient of variation for set A is \(\boxed{11.4\%}\) and for set B is \(\boxed{26.4\%}\)