Find the variance for the given sample data. Round your answer to one more decimal place than the original data. $\begin{array}{lllll}
7 & 7 & 2 & 5 & 1
\end{array}$

A) 6.2
B) 11.8
C) 7.7
D) 7.8

Question

Find the variance for the given sample data. Round your answer to one more decimal place than the original data. $\begin{array}{lllll}
7 & 7 & 2 & 5 & 1
\end{array}$

A) 6.2
B) 11.8
C) 7.7
D) 7.8

Quizplus · Accepted Answer

1. Find the mean: 
(7+7+2+5+1)/5 = 4.4 
2. Subtract the mean from each data point and square the result: 
(7-4.4)^2 = 6.76 
(7-4.4)^2 = 6.76 
(2-4.4)^2 = 5.76 
(5-4.4)^2 = 0.16 
(1-4.4)^2 = 12.96 
3. Find the sum of the squared differences: 
6.76 + 6.76 + 5.76 + 0.16 + 12.96 = 32.4 
4. Divide the sum by n-1 (in this case, 5-1=4) to get the variance: 
32.4/4 = 8.1 
5. Round the variance to one more decimal place than the original data: 
8.1 rounds to 7.8. Therefore, the answer is (D) 7.8.

Find the Variance for the Given Sample Data 77251\begin{array}{lllll}7 & 7 & 2 & 5 & 1\end{array}7​7​2​5​1​

Find the Variance for the Given Sample Data $\begin{array}{lllll}7 & 7 & 2 & 5 & 1\end{array}$