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)

3 answers

To find the median delivery time for each pizza shop, we need to arrange the delivery times in order from least to greatest.

For Pizza Shop 1:
15, 16, 18, 18, 20, 20, 22, 23

Since there are 8 delivery times, the median would be the average of the two middle numbers:

(18 + 20) / 2 = 19

So, the median delivery time for Pizza Shop 1 is 19 minutes.

For Pizza Shop 2:
17, 20, 21, 21, 24, 25, 28, 38

Since there are 8 delivery times, the median would be the average of the two middle numbers:

(21 + 24) / 2 = 22.5

So, the median delivery time for Pizza Shop 2 is 22.5 minutes.

Based on the medians, Pizza Shop 1 has the fastest delivery time with a median of 19 minutes compared to Pizza Shop 2 with a median of 22.5 minutes.
WRONG AI
Apologies for the mistake. Let's recalculate the median delivery time for each pizza shop:

For Pizza Shop 1:
15, 16, 18, 18, 20, 20, 22, 23
Since there are 8 delivery times, the median would be the middle number:
Median = 20

For Pizza Shop 2:
17, 20, 21, 21, 24, 25, 28, 38
Since there are 8 delivery times, the median would be the middle number:
Median = 22

So, based on the medians, Pizza Shop 1 has the fastest delivery time with a median of 20 minutes compared to Pizza Shop 2 with a median of 22 minutes. Thank you for pointing it out.