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Use the table and image to answer the question.

Price in Dollars

A B C D E F G H I

Pants78 62 62 57 57 64 58 57 62

Shirts56 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.

Use the table and image to answer the question Price in Dollars A B C D E F G H I Pants78 62 62 57

Answer :

The difference in the means if you replace the outlier of 78 dollars with 42 is 2.00.

In Mathematics, the mean or average for any set of data can be calculated by using the following formula:

Mean = ∑x/n

Where:

  • ∑x represents the sum of all data values.
  • n represents the total number of data items.

Based on the information provided, the mean with an outlier of 78 can be calculated as follows;

Mean of data set = [tex]\frac{56+56+57+57+57+57+57+58+61+61+62+62+62+64+64+68+69+78}{18}[/tex]

Mean of data set = 61.44.

By replacing the outlier of 78 dollars with 42, the mean is given by;

Mean of data set = [tex]\frac{56+56+57+57+57+57+57+58+61+61+62+62+62+64+64+68+69+42}{18}[/tex]

Mean of data set = 59.44.

Difference in means = 61.44 - 59.44

Difference in means = 2.00

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