show your work, you will turn it in on question 10\nwhat is the median of this data set?\n24, 28, 51, 54…

Answer:

A. 52.5

Explanation:

Step1: Check number of data - points

The data - set has 6 data - points (an even number of data - points: 24, 28, 51, 54, 67, 70).

Step2: Find middle positions

For an even - numbered data - set, the median is the average of the two middle numbers. The middle positions are $\frac{n}{2}$ and $\frac{n}{2}+1$, where $n = 6$. So the middle positions are $\frac{6}{2}=3$ and $\frac{6}{2}+1 = 4$.

Step3: Identify middle numbers

The 3rd number is 51 and the 4th number is 54.

Step4: Calculate the median

Median=$\frac{51 + 54}{2}=\frac{105}{2}=52.5$.