$\leftarrow$ Save \& Exit Certify Lesson: 4.2a Measures of Dispersion Question 6 of 11 , Step 1 of 3 $5 / 15$ Correct Consider the following data: \[ 9,1,4,15,7,6 \] Step 1 of 3: Calculate the value of the sample variance. Round your answer to one decimal place. Answer How to enter your answer (opens in new window)

Step 1 ：Calculate the mean (average) of the data set: \(\frac{9+1+4+15+7+6}{6} = 7.0\)

Step 2 ：Subtract the mean from each number in the data set and then square the result: \((9-7)^2, (1-7)^2, (4-7)^2, (15-7)^2, (7-7)^2, (6-7)^2\) which gives \(4, 36, 9, 64, 0, 1\)

Step 3 ：Calculate the average of these squared differences: \(\frac{4+36+9+64+0+1}{6-1} = 22.8\)

Step 4 ：Final Answer: The sample variance of the data set is \(\boxed{22.8}\)