find the median of this data set. 31, 4, 13, 33, 47, 99

Explanation:

Step1: Arrange data in ascending order

$4, 13, 31, 33, 47, 99$

Step2: Determine the number of data - points

There are $n = 6$ 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. $\frac{n}{2}=\frac{6}{2}=3$ and $\frac{n}{2}+1 = 3 + 1=4$

Step3: Find the median

The 3rd value is $31$ and the 4th value is $33$. The median $M=\frac{31 + 33}{2}=\frac{64}{2}=32$

Answer:

$32$