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.
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Apologies for the mistake. Let's find the correct medians:
For Pizza Shop 1:
Arrange the delivery times in ascending order: 15, 18, 20, 21, 22, 23, 24, 28.
Since there are 8 values, the median will be the average of the 4th and 5th value: (21 + 22) / 2 = 21.5 minutes.
For Pizza Shop 2:
Arrange the delivery times in ascending order: 16, 17, 18, 20, 20, 21, 25, 38.
Since there are 8 values, the median will be the average of the 4th and 5th value: (20 + 20) / 2 = 20 minutes.
Therefore, based on the medians, Pizza Shop 2 has the fastest delivery time.
The median delivery time for Pizza Shop 1 is 21.5 minutes (average of 21 and 22).
The median delivery time for Pizza Shop 2 is 19.5 minutes (average of 19 and 20).
Based on the median, Pizza Shop 2 has a faster delivery time.