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)
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.