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