Question

this data set shows the ages of members in a book club. 32, 19, 61, 26, 38, 26, 55, 37 what is the clubs median age? o 42 o 36.75 o 34.5 o 26

Explanation:

Step1: Arrange data in ascending order

$19, 26, 26, 32, 37, 38, 55, 61$

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: Calculate the median

The 4 - th value is $32$ and the 5 - th value is $37$. Median=$\frac{32 + 37}{2}=\frac{69}{2}=34.5$

Answer:

$34.5$