Here are the math test scores of 10 randomly selected students from Class 1 and Class 2.
Class 1: 75 80 84 79 92 86 88 86 86 90
Class 2: 83 85 91 93 72 85 76 80 82 89
Find the mean score of each sample. Based on the mean, which class generally performed better on the math test?
(2 points)
The mean score for Class 1 is
. The mean score for Class 2 is
. Based on the mean, Class
generally performed better on the math test.
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The mean score for Class 1 is (75+80+84+79+92+86+88+86+86+90) / 10 = 84.6
The mean score for Class 2 is (83+85+91+93+72+85+76+80+82+89) / 10 = 83.6
Based on the mean, Class 1 generally performed better on the math test as it had a higher mean score of 84.6 compared to Class 2's mean score of 83.6.
To find the medians, we need to first arrange the delivery times in ascending order:
For Pizza Shop 1: 15, 18, 20, 21, 22, 23, 24, 28
Since there are 8 values, the median would be the average of the 4th and 5th values: (21+22) / 2 = 21.5
For Pizza Shop 2: 16, 17, 18, 20, 20, 25, 25, 38
Since there are 8 values, the median would be the average of the 4th and 5th values: (20+20) / 2 = 20
Based on the medians, Pizza Shop 1 has a faster delivery time with a median delivery time of 21.5 minutes compared to Pizza Shop 2 with a median delivery time of 20 minutes.
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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