Question

marcy worked at the ice cream parlor over the summer. on her last 18 shifts, she scooped: 8 scoops 5 scoops 9 scoops 6 scoops 9 scoops 5 scoops 9 scoops 9 scoops 6 scoops 8 scoops 8 scoops 8 scoops 6 scoops 6 scoops 6 scoops 8 scoops 6 scoops 6 scoops what was the median number of scoops?

Explanation:

Step1: Arrange data in ascending order

5, 5, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 9, 9, 9, 9

Step2: Find middle - positions

Since there are $n = 18$ data points, the middle positions are $\frac{n}{2}=9$ and $\frac{n}{2}+ 1 = 10$.

Step3: Calculate the median

The 9th value is 6 and the 10th value is 8. The median is $\frac{6 + 8}{2}=7$.

Answer:

7