A grocery store manager wants to estimate the mean purchase total for all customers that shop at her store. To do so, she selects a random sample of 30 receipts from the large list of all receipts that are stored in the computer. Here is a dotplot of the results.   The mean purchase total is $93.80 and the median purchase total is $75.80. The store manager investigates and learns that the customer that made a $500 purchase had not purchased groceries, but rather a $500 gift card. Because this customer’s purchase was not typical, the manager decides to exclude this total from the data set. How will removing the $500 purchase from the data set affect the value of the mean and the median? (A) The mean will decrease more than the median. (B) The mean will decrease less than the median. (C) The mean will stay the same, but the median will decrease. (D) The mean will increase more than the median. (E) The mean will increase, but not as much as the median.

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A grocery store manager wants to estimate the mean purchase total for all customers that shop at her store. To do so, she selects a random sample of 30 receipts from the large list of all receipts that are stored in the computer. Here is a dotplot of the results.

 

The mean purchase total is $93.80 and the median purchase total is $75.80. The store manager investigates and learns that the customer that made a $500 purchase had not purchased groceries, but rather a $500 gift card. Because this customer’s purchase was not typical, the manager decides to exclude this total from the data set. How will removing the $500 purchase from the data set affect the value of the mean and the median?

  • (A) The mean will decrease more than the median.
  • (B) The mean will decrease less than the median.
  • (C) The mean will stay the same, but the median will decrease.
  • (D) The mean will increase more than the median.
  • (E) The mean will increase, but not as much as the median.
200
Purchase Total ($)
500
100
300
400
Transcribed Image Text:200 Purchase Total ($) 500 100 300 400
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