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find the median of this data set. 85, 40, 68, 37, 90, 66, 60, 72

Question

find the median of this data set. 85, 40, 68, 37, 90, 66, 60, 72

Explanation:

Step1: Arrange data in ascending order

$37,40,60,66,68,72,85,90$

Step2: Determine number of data points

There are $n = 8$ 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.
$\frac{n}{2}=\frac{8}{2}=4$ and $\frac{n}{2}+1 = 5$

Step3: Calculate the median

Median=$\frac{66 + 68}{2}=\frac{134}{2}=67$

Answer:

$67$