Kat and Joshua want to know which pizza shop has the fastest delivery. Kat took a random sample of 8 delivery time from pizza shop 1 over a period of six months. Joshua did the same for pizza shop 2. The delivery time (in minutes) for each pizza shop are shown in following table.

Question

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 median, which pizza shop has the fastest delivery time?

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.

Answer 1

To find the median delivery time for each pizza shop, we start by arranging the delivery times in ascending order.

For Pizza Shop 1:
15, 18, 20, 21, 22, 23, 24, 28

There are 8 observations, which means the median will be the average of the 4th and 5th observations:
Median = (21 + 22) / 2 = 21.5 minutes

For Pizza Shop 2:
16, 17, 18, 20, 20, 21, 25, 38

There are 8 observations, which means the median will be the 4th observation:
Median = 20 minutes

Based on the median delivery times, Pizza Shop 1 has a faster delivery time.