To find the mean of both shirts and pants combined without the outlier of $78, we first need to calculate the mean of all the prices (including the outlier) and then recalculate the mean without the $78 price.
Mean with all prices: (56 + 62 + 62 + 57 + 57 + 64 + 58 + 57 + 62 + 56 + 78 + 61 + 64 + 69 + 68) / 15 = 63.2
Mean without the $78 price: (56 + 62 + 62 + 57 + 57 + 64 + 58 + 57 + 62 + 56 + 61 + 64 + 69 + 68) / 14 = 61.14
The difference in the means of both shirts and pants combined when removing the outlier of $78 is 63.2 - 61.14 = $2.06.
Rounded to the nearest hundredth, the difference is $2.06.
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, 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)
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5 answers
no
To find the mean of both shirts and pants combined without the outlier of $78, we need to calculate the mean of all prices (including the outlier) and then recalculate the mean without the $78 price.
Means with all prices: (56 + 62 + 62 + 57 + 57 + 64 + 58 + 57 + 62 + 56 + 78 + 61 + 64 + 69 + 68) / 15 = 62.53
Now, let's calculate the mean without the $78 price:
Sum without $78 = 56 + 62 + 62 + 57 + 57 + 64 + 58 + 57 + 62 + 56 + 61 + 64 + 69 + 68 = 837
Mean without $78: 837 / 14 = 59.79
Difference in the means of both shirts and pants combined when removing the outlier of $78 is: 62.53 - 59.79 = $2.74
Rounded to the nearest hundredth, the difference is $2.74.
Means with all prices: (56 + 62 + 62 + 57 + 57 + 64 + 58 + 57 + 62 + 56 + 78 + 61 + 64 + 69 + 68) / 15 = 62.53
Now, let's calculate the mean without the $78 price:
Sum without $78 = 56 + 62 + 62 + 57 + 57 + 64 + 58 + 57 + 62 + 56 + 61 + 64 + 69 + 68 = 837
Mean without $78: 837 / 14 = 59.79
Difference in the means of both shirts and pants combined when removing the outlier of $78 is: 62.53 - 59.79 = $2.74
Rounded to the nearest hundredth, the difference is $2.74.
no
Apologies for the error. Let's recalculate the difference in means without the outlier of $78 correctly.
Mean with all prices: (56 + 62 + 62 + 57 + 57 + 64 + 58 + 57 + 62 + 56 + 78 + 61 + 64 + 69 + 68) / 15 = 62.53
Now, let's calculate the mean without the $78 price:
Sum without $78: 56 + 62 + 62 + 57 + 57 + 64 + 58 + 57 + 62 + 56 + 61 + 64 + 69 + 68 = 755
Mean without $78: 755 / 14 = 53.93
Difference in the means of both shirts and pants combined when removing the outlier of $78 is: 62.53 - 53.93 = $8.6
Therefore, the correct difference in means of both shirts and pants combined, after removing the outlier of $78, is $8.6.
Mean with all prices: (56 + 62 + 62 + 57 + 57 + 64 + 58 + 57 + 62 + 56 + 78 + 61 + 64 + 69 + 68) / 15 = 62.53
Now, let's calculate the mean without the $78 price:
Sum without $78: 56 + 62 + 62 + 57 + 57 + 64 + 58 + 57 + 62 + 56 + 61 + 64 + 69 + 68 = 755
Mean without $78: 755 / 14 = 53.93
Difference in the means of both shirts and pants combined when removing the outlier of $78 is: 62.53 - 53.93 = $8.6
Therefore, the correct difference in means of both shirts and pants combined, after removing the outlier of $78, is $8.6.
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