Question

1. (02.02 mc) the following are beginning salaries for a certain industry in different areas: $26,150.00 $19,350.00 $31,460.00 $27,910.00 $29,920.00 $27,910.00 $35,630.00 $31,460.00 find the median of the data set. (2 points) $27,910.00 $28,915.00 $22,552.00 $59,370.00

Explanation:

Step1: Arrange data in ascending order

$19350, 26150, 27910, 27910, 29920, 31460, 31460, 35630$

Step2: Determine the position of median

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. $\frac{n}{2}=\frac{8}{2}=4$ and $\frac{n}{2}+1 = 5$.

Step3: Calculate the median

The 4th value is $27910$ and the 5th value is $29920$. Median=$\frac{27910 + 29920}{2}=\frac{57830}{2}=28915$

Answer:

$28,915.00$