what is the median for the data set? 574, 526, 512, 579, 595, 517, 524, 552, 558, 541 express your answer as…

Answer:

546.5

Explanation:

Step1: Arrange data in ascending order

512, 517, 524, 526, 541, 552, 558, 574, 579, 595

Step2: Determine number of data - points

There are $n = 10$ data - points.

Step3: Use median formula for even number of data - points

The median for an even number of data - points is the average of the $\frac{n}{2}$th and $(\frac{n}{2}+1)$th ordered data - points. Here, $\frac{n}{2}=5$ and $\frac{n}{2}+1 = 6$. The 5th value is 541 and the 6th value is 552.

Step4: Calculate the median

Median=$\frac{541 + 552}{2}=\frac{1093}{2}=546.5$