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 medians, we first need to arrange the delivery times in ascending order:
For Pizza Shop 1:
15, 18, 20, 21, 22, 23, 24, 28
For Pizza Shop 2:
16, 17, 20, 20, 21, 25, 38
There are 8 delivery times for Pizza Shop 1, so the median will be the average of the two middle numbers: (20 +
21) / 2 = 20.5 minutes.
There are 7 delivery times for Pizza Shop 2, so the median will be the middle number, which is 20 minutes.
Based on the medians, Pizza Shop 2 has a faster delivery time (20 minutes) compared to Pizza Shop 1 (20.5 minutes).