Find the variance for the given sample data. Round your answer to one more decimal place_ than the original data.
$\begin{array} { l l l l l }
7 & 7 & 2 & 5 & 1
\end{array}$
A) $11.8$
B) $7.7$
C) $7.8$
D) $6.2$

Question

Find the variance for the given sample data. Round your answer to one more decimal place_ than the original data.
 $\begin{array} { l l l l l } 
7 & 7 & 2 & 5 & 1
\end{array}$
A) $11.8$
B) $7.7$
C) $7.8$
D) $6.2$

Quizplus · Accepted Answer

To find the variance, first calculate the mean: (7+7+2+5+1)/5 = 4.4. Then, find the squared differences from the mean: (7-4.4)², (7-4.4)², (2-4.4)², (5-4.4)², (1-4.4)². These are 6.76, 6.76, 5.76, 0.36, and 11.56. The sum of these squared differences is 31.2. Divide by the number of data points minus one (5-1=4) to get the sample variance: 31.2/4 = 7.8.

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

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