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. What is the difference in the means if you replace the outlier of 78 dollars with 42? Round to the nearest hundredth.

1 answer

The mean price of pants without the outlier is (62 + 62 + 57 + 57 + 64 + 58 + 57 + 62 + 42) / 9 = 57.22
The mean price of shirts is (56 + 61 + 64 + 69 + 68 + 57 + 57 + 61 + 56) / 9 = 61.56

The difference between the means with the outlier and without the outlier is 57.22 - 61.56 = -4.34

Therefore, the difference in the means when replacing the outlier of 78 dollars with 42 dollars is -4.34.