The following table presents the heights (in inches) of a sample of college basketball players.

$\begin{array} { c c }
\hline \text { Height (in.) } & \text { Frequency } \
\hline 68 - 71 & 17 \
72 - 75 & 40 \
76 - 79 & 62 \
80 - 83 & 40 \
84 - 87 & 18 \
\hline
\end{array}$

Considering the data to be a population, approximate the standard deviation of the heights.
A) 78
B) 4
C) 19.9
D) 4.5

Question

The following table presents the heights (in inches) of a sample of college basketball players.

$\begin{array} { c c } 
\hline \text { Height (in.) } & \text { Frequency } \
\hline 68 - 71 & 17 \
72 - 75 & 40 \
76 - 79 & 62 \
80 - 83 & 40 \
84 - 87 & 18 \
\hline
\end{array}$

Considering the data to be a population, approximate the standard deviation of the heights.
A) 78
B) 4
C) 19.9
D) 4.5

Quizplus · Accepted Answer

The standard deviation is calculated using the formula for grouped data. The midpoint of each class is used to find the mean, and then the standard deviation is calculated. The approximate standard deviation is 4.5 inches.

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