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.

Answer 1

[AI-generated answer — Bot GPT 3.5]

To calculate the mean of the shirts and pants combined without the outlier of $78, we first need to find the original mean with all values included.

Let's assume the following prices for the shirts and pants on sale at the store:

Shirt prices: $20, $25, $30, $35, $40, $45, $50, $55, $60, $78
Pant prices: $30, $35, $40, $45, $50, $55, $60, $65, $70, $75

First, we calculate the mean of the original values with the outlier included:

Mean of shirts = ($20 + $25 + $30 + $35 + $40 + $45 + $50 + $55 + $60 + $78) / 10 = $398 / 10 = $39.80

Mean of pants = ($30 + $35 + $40 + $45 + $50 + $55 + $60 + $65 + $70 + $75) / 10 = $475 / 10 = $47.50

Mean of both shirts and pants combined = ($398 + $475) / 20 = $873 / 20 = $43.65

Now, to find the mean without the outlier of $78:

New mean of shirts = ($20 + $25 + $30 + $35 + $40 + $45 + $50 + $55 + $60) / 9 = $320 / 9 ≈ $35.56

New mean of both shirts and pants combined = ($320 + $475) / 19 = $795 / 19 ≈ $41.84

The difference in the means of both shirts and pants combined when the outlier of $78 is removed is approximately $1.81.