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…

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

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

Answer

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