Find the variance for the given data. Round your answer to one more decimal place than the original data.
-The normal monthly precipitation (in inches)for August is listed for 12 different U.S. cities.
$\begin{array} { l l l l l l } 3.5 & 1.6 & 2.4 & 3.7 & 4.1 & 3.9 \end{array}$
$\begin{array} { l l l l l l } 1.0 & 3.6 & 4.2 & 3.4 & 3.7 & 2.2 \end{array}$
Compute the variance.
A)1.05
B)0.94
C)1.09
D)1.00

Question

Find the variance for the given data. Round your answer to one more decimal place than the original data.
-The normal monthly precipitation (in inches)for August is listed for 12 different U.S. cities. 
$\begin{array} { l l l l l l } 3.5 & 1.6 & 2.4 & 3.7 & 4.1 & 3.9 \end{array}$
$\begin{array} { l l l l l l } 1.0 & 3.6 & 4.2 & 3.4 & 3.7 & 2.2 \end{array}$ 
Compute the variance.
A)1.05
B)0.94
C)1.09
D)1.00

Quizplus · Accepted Answer

The variance is calculated by finding the mean of the data, subtracting the mean from each data point, squaring those differences, summing them up, and then dividing by the number of data points minus one. For these data points, the mean is 3.075. The squared differences from the mean sum up to 13.095, and dividing this by 11 (since there are 12 data points) gives a variance of 1.09 (rounded to two decimal places as per the instruction).

Find the Variance for the Given Data 3.51.62.43.74.13.9\begin{array} { l l l l l l } 3.5 & 1.6 & 2.4 & 3.7 & 4.1 & 3.9 \end{array}3.5​1.6​2.4​3.7​4.1​3.9​

Find the Variance for the Given Data $\begin{array} { l l l l l l } 3.5 & 1.6 & 2.4 & 3.7 & 4.1 & 3.9 \end{array}$