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.
Measures of Center Practice
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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?
1 answer