Measures of Center Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
5 of 55 of 5 Items
Question
Kat and Joshua want to know which pizza shop has the fastest delivery time. Kat took a random sample of 8 delivery times from pizza shop 1 over a period of six months. Joshua did the same for pizza shop 2. The delivery times (in minutes) for each pizza shop are shown in the following table.
Pizza Shop 1 Pizza Shop 2
18 20
23 17
15 16
22 38
21 21
24 20
28 18
20 25
Find the median delivery time for each pizza shop. Based on the median, which pizza shop has the fastest delivery time?
To find the median delivery time for each pizza shop, we first need to rearrange the delivery times in ascending order:
Pizza Shop 1: 15, 18, 20, 21, 22, 23, 24, 28
Pizza Shop 2: 16, 17, 18, 20, 20, 21, 25, 38
For Pizza Shop 1, there are 8 delivery times, so the median is the average of the 4th and 5th values:
Median = (21 + 22) / 2 = 21.5
For Pizza Shop 2, there are also 8 delivery times, so the median is the average of the 4th and 5th values:
Median = (20 + 20) / 2 = 20
Based on the medians, Pizza Shop 2 has the fastest delivery time with a median of 20 minutes, while Pizza Shop 1 has a median of 21.5 minutes.