Problem

Find the variance for the given sample data. Round your answer to one more decimal place than the original data.
$\begin{array}{llllll}7 & 7 & 2 & 5 & 1 & \square\end{array}$
A. 7.8
B. 7.7
c. 11.8
D. 6.2
(1) Time Remaining: 01:40:13

Answer

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Answer

The variance for the given sample data is \(\boxed{7.8}\)

Steps

Step 1 :Given data is \([7, 7, 2, 5, 1]\)

Step 2 :Calculate the mean (average) of the data

Step 3 :Subtract the mean from each data point to get the deviation of each data point

Step 4 :Square each deviation

Step 5 :Find the mean of these squared deviations

Step 6 :Round the result to one more decimal place than the original data

Step 7 :The variance for the given sample data is \(\boxed{7.8}\)

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