Use the grouped data formulas to find the indicated mean or standard deviation.
-The salaries of a random sample of a company?s employees are summarized in the frequency distribution below. Approximate the sample mean. $$\begin{array} { r | c }
\text { Salary (\$) } & \text { Employees } \
\hline 5,001 - 10,000 & 16 \
10,001 - 15,000 & 14 \
15,001 - 20,000 & 11 \
20,001 - 25,000 & 16 \
25,001 - 30,000 & 23
\end{array}$$
A)$18,500.50
B)$17,500
C)$20,350.55
D)$16,650.45

Question

Use the grouped data formulas to find the indicated mean or standard deviation.
-The salaries of a random sample of a company?s employees are summarized in the frequency distribution below. Approximate the sample mean. $$\begin{array} { r | c } 
\text { Salary (\$) } & \text { Employees } \
\hline 5,001 - 10,000 & 16 \
10,001 - 15,000 & 14 \
15,001 - 20,000 & 11 \
20,001 - 25,000 & 16 \
25,001 - 30,000 & 23
\end{array}$$
A)$18,500.50
B)$17,500
C)$20,350.55
D)$16,650.45

Quizplus · Accepted Answer

To approximate the sample mean for grouped data, calculate the midpoint for each salary range, multiply each midpoint by the corresponding frequency, sum these products, and divide by the total number of employees. The midpoints are 7,500, 12,500, 17,500, 22,500, and 27,500. The calculation gives a mean of $18,500.50.

Use the Grouped Data Formulas to Find the Indicated Mean