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find the median of this data set. 66, 26, 53, 94, 32, 54

Question

find the median of this data set.
66, 26, 53, 94, 32, 54

Explanation:

Step1: Arrange data in ascending order

$26,32,53,54,66,94$

Step2: Determine the middle - value position

Since there are $n = 6$ data points (an even number of data points), the median is the average of the $\frac{n}{2}$-th and $(\frac{n}{2}+ 1)$-th ordered values. $\frac{n}{2}=\frac{6}{2}=3$ and $\frac{n}{2}+1 = 4$.

Step3: Calculate the median

Median=$\frac{53 + 54}{2}=\frac{107}{2}=53.5$

Answer:

$53.5$