Question

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

To find the mean of the prices of men's shirts and pants combined, we first need to calculate the mean of the original data set and then calculate the mean after removing the outlier of $78.

Original data set (prices in dollars):
Shirts: 30, 25, 35, 40, 50, 45, 50
Pants: 40, 35, 45, 30, 55, 50
Outlier: 78

Calculating the mean of the original data set:
Mean = (30 + 25 + 35 + 40 + 50 + 45 + 50 + 40 + 35 + 45 + 30 + 55 + 50) / 13
Mean = 495 / 13
Mean = 38.08

After removing the outlier of $78:
New data set (prices in dollars) without the outlier:
Shirts: 30, 25, 35, 40, 50, 45, 50
Pants: 40, 35, 45, 30, 55, 50

Calculating the mean of the new data set:
Mean = (30 + 25 + 35 + 40 + 50 + 45 + 50 + 40 + 35 + 45 + 30 + 55 + 50) / 12
Mean = 405 / 12
Mean = 33.75

The difference in the means after removing the outlier is:
Difference = 38.08 - 33.75
Difference = 4.33

Therefore, the difference in the means of both shirts and pants combined if you remove the outlier of $78 is $4.33.