The test scores of 40 students are summarized in the frequency distribution below. Find the grouped mean rounded to the nearest tenth. $$\begin{array} { c | c }
\text { Score } & \text { Students } \
\hline 50 - 59 & 8 \
60 - 69 & 6 \
70 - 79 & 7 \
80 - 89 & 5 \
90 - 99 & 14
\end{array}$$
A) 69.6
B) 73.4
C) 74.5
D) 77.3

Question

The test scores of 40 students are summarized in the frequency distribution below. Find the grouped mean rounded to the nearest tenth. $$\begin{array} { c | c } 
\text { Score } & \text { Students } \
\hline 50 - 59 & 8 \
60 - 69 & 6 \
70 - 79 & 7 \
80 - 89 & 5 \
90 - 99 & 14
\end{array}$$
A) 69.6
B) 73.4
C) 74.5
D) 77.3

Quizplus · Accepted Answer

To find the grouped mean, calculate the midpoint for each class, multiply by the frequency, sum these products, and divide by the total number of students. The midpoints are 54.5, 64.5, 74.5, 84.5, and 94.5. The grouped mean is (54.5*8 + 64.5*6 + 74.5*7 + 84.5*5 + 94.5*14) / 40 = 77.3.

The Test Scores of 40 Students Are Summarized in the Frequency