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?
(2 points)
The median delivery time of Pizza Shop 1 is
minutes. The median delivery time of Pizza Shop 2 is
minutes. Based on the median, Pizza Shop
has a faster delivery time.
To find the median, we first arrange the delivery times in ascending order.
For Pizza Shop 1: 15, 18, 20, 21, 22, 23, 24, 28
The median delivery time for Pizza Shop 1 is the middle value, which is 22.
For Pizza Shop 2: 16, 17, 18, 20, 20, 21, 25, 38
The median delivery time for Pizza Shop 2 is also the middle value, which is 20.
Based on the median, Pizza Shop 1 has a faster delivery time.