Question

the data set shows the ages of members in a book club. what is the clubs median age? 38 45 26 26 50 23 63 35 36.5 38.25 38 40

Explanation:

Step1: Arrange data in ascending order

23, 26, 26, 35, 38, 45, 50, 63

Step2: Determine the position of median

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: Find the median

The 4th value is 35 and the 5th value is 38. The median \(M=\frac{35 + 38}{2}=\frac{73}{2}=36.5\)

Answer:

36.5