Measures of Center Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
5 of 55 of 5 Items
Question
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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3 answers
For Pizza Shop 1:
Delivery times: 18, 23, 15, 22, 21, 24, 28, 20
Arranging in ascending order: 15, 18, 20, 21, 22, 23, 24, 28
There are 8 delivery times, so the median delivery time is the average of the 4th and 5th values, which are 21 and 22.
Median delivery time for Pizza Shop 1 = (21 + 22) / 2 = 21.5 minutes
For Pizza Shop 2:
Delivery times: 20, 17, 16, 38, 21, 20, 18, 25
Arranging in ascending order: 16, 17, 18, 20, 20, 21, 25, 38
There are 8 delivery times, so the median delivery time is the average of the 4th and 5th values, which are 20 and 20.
Median delivery time for Pizza Shop 2 = (20 + 20) / 2 = 20 minutes
Therefore, the correct median delivery times are 21.5 minutes for Pizza Shop 1 and 20 minutes for Pizza Shop 2. Based on the median, Pizza Shop 2 has a faster delivery time. Thank you for pointing out the error.
1 answer