Find the midrange for the given sample data.
-A company had 80 employees whose salaries are summarized in the frequency distribution below. Find the mean salary. $$\begin{array}{l}
\text { Salary (\$) Employees }\
\begin{array} { r r }
5,001 - 10,000 & 17 \
10,001 - 15,000 & 12 \
15,001 - 20,000 & 12 \
20,001 - 25,000 & 15 \
25,001 - 30,000 & 24
\end{array}
\end{array}$$
A) $16,706.25
B) $17,500
C) $18,562.50
D) $20,418.75

Question

Find the midrange for the given sample data.
-A company had 80 employees whose salaries are summarized in the frequency distribution below. Find the mean salary. $$\begin{array}{l}
\text { Salary (\$) Employees }\
\begin{array} { r r } 
5,001 - 10,000 & 17 \
10,001 - 15,000 & 12 \
15,001 - 20,000 & 12 \
20,001 - 25,000 & 15 \
25,001 - 30,000 & 24
\end{array}
\end{array}$$
A) $16,706.25
B) $17,500
C) $18,562.50
D) $20,418.75

Quizplus · Accepted Answer

The midrange is calculated by averaging the lowest and highest values in the data set. Here, the lowest salary is $5,001 and the highest is $30,000. The midrange is ($5,001 + $30,000) / 2 = $17,500. However, the question asks for the mean salary, which is calculated by finding the weighted average of the midpoints of each salary range, resulting in $18,562.50.

Find the Midrange for the Given Sample Data A) $16,706