The following table presents the heights (in inches) of a sample of college basketball play
$\begin{array}{cc}
\hline \text { Height (in.) } & \text { Frequency } \
\hline 68-71 & 3 \
72-75 & 5 \
76-79 & 2 \
80-83 & 2 \
84-87 & 2 \
\hline
\end{array}$
Considering the data to be a population, approximate the variance of the heights. .
A) 5.6
B) 31.0
C) 28.8
D) 5.4

Question

Quizplus · Accepted Answer

To approximate the variance, calculate the midpoint for each height interval, find the squared deviation from the mean, multiply by the frequency, sum these values, and divide by the total number of observations. The variance is approximately 28.8.

The Following Table Presents the Heights (In Inches) of a Sample