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.
To find the median delivery time for each pizza shop, we first need to arrange the delivery times in each set in ascending order:
Pizza Shop 1 delivery times: 15, 16, 17, 18, 18, 20, 21, 23
Pizza Shop 2 delivery times: 17, 20, 20, 21, 22, 24, 25, 38
Since each set has an even number of data points, we find the median by taking the average of the two middle values.
For Pizza Shop 1: (18 + 20) / 2 = 19 minutes
For Pizza Shop 2: (21 + 22) / 2 = 21.5 minutes
Based on the median delivery times, Pizza Shop 1 has a faster delivery time.