Use the table and image to answer the question. Price in Dollars A B C D E F G H I 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)

1 answer

To find the difference in means without the outlier of $78, we first need to calculate the mean of all the prices with the outlier included and then calculate the mean without the outlier.

With outlier included:
(78 + 56 + 62 + 61 + 62 + 64 + 64 + 69 + 57 + 68 + 58 + 57 + 57 + 61 + 62 + 56) / 16 = 62.38

Without outlier:
(56 + 62 + 61 + 62 + 64 + 69 + 57 + 68 + 58 + 57 + 57 + 61 + 62 + 56) / 14 = 60.79

Difference in means = 62.38 - 60.79 = 1.59

Therefore, the difference in means of both shirts and pants combined without the outlier of $78 is $1.59.
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