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

Explanation:

Step1: Arrange data in ascending order

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

Step2: Determine position of median

Since there are $n = 10$ (an even - numbered) data points, the median is the average of the $\frac{n}{2}$th and $(\frac{n}{2}+ 1)$th ordered data points. $\frac{n}{2}=\frac{10}{2}=5$ and $\frac{n}{2}+1 = 6$.

Step3: Calculate the median

The 5th value is $541$ and the 6th value is $552$. The median $M=\frac{541 + 552}{2}=\frac{1093}{2}=546.5$

Answer:

$546.5$