Calculate the mean of the grouped data from the given frequency distribution. (Round to nearest tenth) $$\begin{array} { | l | l | }
\hline \text { Class } & \text { Frequency (f) } \
\hline 30 \text { to } 39 & 2 \
\hline 40 \text { to } 49 & 2 \
\hline 50 \text { to } 59 & 2 \
\hline 60 \text { to } 69 & 5 \
\hline
\end{array}$$
A) 28.7
B) 25.9
C) 38.3
D) 53.6

Question

Calculate the mean of the grouped data from the given frequency distribution. (Round to nearest tenth) $$\begin{array} { | l | l | } 
\hline \text { Class } & \text { Frequency (f) } \
\hline 30 \text { to } 39 & 2 \
\hline 40 \text { to } 49 & 2 \
\hline 50 \text { to } 59 & 2 \
\hline 60 \text { to } 69 & 5 \
\hline
\end{array}$$
A) 28.7
B) 25.9
C) 38.3
D) 53.6

Quizplus · Accepted Answer

To calculate the mean of grouped data, you first find the midpoint of each class by averaging the upper and lower bounds. Then, multiply each midpoint by the class frequency, sum these products, and divide by the total frequency. The midpoints are 34.5, 44.5, 54.5, and 64.5 for the respective classes. The calculation is as follows: $\frac{(34.5*2) + (44.5*2) + (54.5*2) + (64.5*5)}{2+2+2+5} = \frac{69 + 89 + 109 + 322.5}{11} = \frac{589.5}{11} = 53.6$.

Calculate the Mean of the Grouped Data from the Given