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Question

Pants 78 62 62 57 57 64 58 57 62
Shirts 56 61 64 69 68 57 57 61 56
Myra created a spreadsheet and a line graph with the prices of men’s shirts and pants on sale at a store, rounded to the nearest dollar. What is the difference in the means of both shirts and pants combined if you remove the outlier of $78? Round to the nearest hundredth.
(1 point)
$

Answer 1

First, let's calculate the mean of the prices of shirts and pants combined with the outlier included:

Mean with outlier = (78 + 56 + 62 + 61 + 62 + 64 + 69 + 57 + 57 + 68 + 58 + 57 + 57 + 61 + 62 + 56) / 16
Mean with outlier = 931 / 16
Mean with outlier = 58.19

Next, let's calculate the mean of the prices of shirts and pants combined without the outlier:

Mean without outlier = (56 + 62 + 61 + 62 + 64 + 69 + 57 + 57 + 68 + 58 + 57 + 57 + 61 + 62 + 56) / 15
Mean without outlier = 870 / 15
Mean without outlier = 58

Now, we can find the difference between the two means:

Difference = Mean with outlier - Mean without outlier
Difference = 58.19 - 58
Difference = 0.19

Therefore, the difference in the means of both shirts and pants combined if you remove the outlier of $78 is $0.19.