For the following data, approximate the mean number of emails received per day. $$\begin{array} { c | c }
\text { Emails (per day) } & \text { Frequency } \
\hline 8 - 11 & 3 \
12 - 15 & 34 \
16 - 19 & 31 \
20 - 23 & 8 \
24 - 27 & 27
\end{array}$$
A) 18.4
B) 17.9
C) 16.9
D) 19.9

Question

For the following data, approximate the mean number of emails received per day. $$\begin{array} { c | c } 
\text { Emails (per day) } & \text { Frequency } \
\hline 8 - 11 & 3 \
12 - 15 & 34 \
16 - 19 & 31 \
20 - 23 & 8 \
24 - 27 & 27
\end{array}$$
A) 18.4
B) 17.9
C) 16.9
D) 19.9

Quizplus · Accepted Answer

The mean number of emails received per day can be approximated by multiplying the midpoint of each class interval by the corresponding frequency, and then dividing the sum of these products by the total frequency.Midpoint of 8 - 11 = 9.5Midpoint of 12 - 15 = 13.5Midpoint of 16 - 19 = 17.5Midpoint of 20 - 23 = 21.5Midpoint of 24 - 27 = 25.5Mean = (9.5 * 3 + 13.5 * 34 + 17.5 * 31 + 21.5 * 8 + 25.5 * 27) / (3 + 34 + 31 + 8 + 27) = 18.4Therefore, the approximate mean number of emails received per day is 18.4.

For the Following Data, Approximate the Mean Number of Emails