Use the grouped data formulas to find the indicated mean or standard deviation.
-The heights of a random sample of professional basketball players are summarized in the frequency distribution below. Approximate the sample mean. Round your answer to one decimal place. $$\begin{array} { r | r }
\text { Height (in.) } & \text { Frequency } \
\hline 70 - 71 & 1 \
72 - 73 & 6 \
74 - 75 & 8 \
76 - 77 & 12 \
78 - 79 & 9 \
80 - 81 & 5 \
82 - 83 & 2
\end{array}$$
A)76.6 in.
B)13.5 in.
C)74.9 in.
D)78.4 in.

Question

Use the grouped data formulas to find the indicated mean or standard deviation.
-The heights of a random sample of professional basketball players are summarized in the frequency distribution below. Approximate the sample mean. Round your answer to one decimal place. $$\begin{array} { r | r } 
\text { Height (in.) } & \text { Frequency } \
\hline 70 - 71 & 1 \
72 - 73 & 6 \
74 - 75 & 8 \
76 - 77 & 12 \
78 - 79 & 9 \
80 - 81 & 5 \
82 - 83 & 2
\end{array}$$
A)76.6 in.
B)13.5 in.
C)74.9 in.
D)78.4 in.

Quizplus · Accepted Answer

To approximate the sample mean for grouped data, we first find the midpoint of each class by averaging the upper and lower bounds. Then, we multiply each midpoint by the class frequency and sum these products. Finally, we divide by the total number of observations. The calculation yields an approximate mean height of 76.6 inches.

Use the Grouped Data Formulas to Find the Indicated Mean