The following frequency distribution shows the amount earned yesterday by employees of a large Las Vegas casino. Estimate the mean daily earnings. $$\begin{array} { c c }
\text { Earnings (dollars) } & \text { Frequency } \
50

Question

The following frequency distribution shows the amount earned yesterday by employees of a large Las Vegas casino. Estimate the mean daily earnings. $$\begin{array} { c c } 
\text { Earnings (dollars) } & \text { Frequency } \
50 < 75 & 10 \
75 < 100 & 15 \
100 < 125 & 60 \
125 < 150 & 40 \
150 < 175 & 10
\end{array}$$
A)$112.50
B)$125.01
C)$105.47
D)$117.13

Quizplus · Accepted Answer

To estimate the mean, we need to find the midpoint of each class interval, and then multiply it by its frequency. Then we add up all these products and divide by the total frequency.

Midpoints:

$62.50, 87.50, 112.50, 137.50, 162.50$

Products:

$625, 1312.5, 6750, 5500, 1625$

Total:

$15712.5$

Mean:

$\frac{15712.5}{135}= 116.33$

Therefore, the best choice is D with a rounded mean of $117.13.

The Following Frequency Distribution Shows the Amount Earned Yesterday by Employees