Question

the following are beginning salaries for a certain industry in different areas: $58,280.00 $79,180.00 $41,380.00 $57,120.00 $57,120.00 $63,190.00 $65,370.00 $59,160.00 find the median of the data set. $57,120.00 $58,280.00 $62,296.00 $72,257.00

Explanation:

Step1: Arrange data in ascending order

$41380, 57120, 57120, 58250, 59160, 63190, 65370, 79150$

Step2: Determine the number of data points

There are $n = 8$ data - points. Since $n$ is even, the median is the average of the $\frac{n}{2}$th and $(\frac{n}{2}+ 1)$th ordered data points.

Step3: Find the relevant data points

$\frac{n}{2}=\frac{8}{2}=4$ and $\frac{n}{2}+1 = 5$. The 4th value is $58250$ and the 5th value is $59160$.

Step4: Calculate the median

Median=$\frac{58250 + 59160}{2}=\frac{117410}{2}=58705$

Answer:

None of the provided options are correct. The median is $58705$.