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

To find the median delivery time for each pizza shop, we first need to arrange the delivery times in ascending order:

For Pizza Shop 1: 15, 18, 20, 21, 22, 23, 24, 28
Median = (20 + 21) / 2 = 20.5

For Pizza Shop 2: 16, 17, 18, 20, 20, 21, 25, 38
Median = (20 + 21) / 2 = 20.5

Both pizza shops have the same median delivery time of 20.5 minutes. Therefore, based on the median delivery time, we cannot determine which pizza shop has the fastest delivery time.