Find the variance for the given data. Round your answer to one more decimal place than the original data.
-The owner of a small manufacturing plant employs six people. As part of their personnel file, she asked each one to record to the nearest one-tenth of a mile the distance they travel one way from home to work. The six
Distances are listed below: $\begin{array} { l l l l l l } 26 & 32 & 29 & 16 & 45 & 19 \end{array}$
A) $15.8 \mathrm { mi } ^ { 2 }$
B) $5043.6 \mathrm { mi } ^ { 2 }$
C) $18.9 \mathrm { mi } ^ { 2 }$
D) $107.0 \mathrm { mi } ^ { 2 }$

Question

Quizplus · Accepted Answer

To find the variance, first calculate the mean of the distances: (26 + 32 + 29 + 16 + 45 + 19) / 6 = 27.83. Then, find the squared differences from the mean for each value, sum them, and divide by the number of values (6): [(26-27.83)² + (32-27.83)² + (29-27.83)² + (16-27.83)² + (45-27.83)² + (19-27.83)²] / 6 = 107.0.

Find the Variance for the Given Data 263229164519\begin{array} { l l l l l l } 26 & 32 & 29 & 16 & 45 & 19 \end{array}26​32​29​16​45​19​

Find the Variance for the Given Data $\begin{array} { l l l l l l } 26 & 32 & 29 & 16 & 45 & 19 \end{array}$