find the median of this data set.\n97, 98, 32, 31, 72, 88, 86, 65

Explanation:

Step1: Arrange data in ascending order

$31,32,65,72,86,88,97,98$

Step2: Determine the number of data points

There are $n = 8$ data - points.

Step3: Use the median formula for even - numbered data sets

The median is the average of the $\frac{n}{2}$th and $(\frac{n}{2}+1)$th ordered data points. Here, $\frac{n}{2}=4$ and $\frac{n}{2}+1 = 5$. The 4th value is $72$ and the 5th value is $86$. Median=$\frac{72 + 86}{2}=\frac{158}{2}=79$

Answer:

$79$