To calculate the mean with the outlier of 78 dollars included:
(56 + 61 + 64 + 69 + 68 + 57 + 57 + 61 + 56 + 78) / 10 = 617 / 10 = 61.7
To calculate the mean with the outlier of 78 dollars replaced by 42:
(56 + 61 + 64 + 69 + 68 + 57 + 57 + 61 + 56 + 42) / 10 = 591 / 10 = 59.1
The difference in the means is:
61.7 - 59.1 = 2.6
Therefore, the difference in the means if you replace the outlier of 78 dollars with 42 is $2.60.
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
A line with arrows at both ends is labeled from 56 to 78 in increments of 2. Unlabeled marks show increments of 1. The title, Costs of Pants and Shirts, is under the numbers. Dots are stacked above the line in alignment with the numbers on the line. There are 2 dots above 56; 5 dots above 57; 1 dot above 58; 2 dots above 61; 3 dots above 62; 2 dots above 64; 1 dot above 68; 1 dot above 69; and 1 dot above 78.
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 point)
$
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