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A hardware store has three locations: West, North, and South. The hardware store counted the number of bags of salt sold at each of the three locations each day for a month.

This table shows the mean and the mean absolute deviation of the number of bags of salt sold each day.

Which statements are correct?

Select each correct answer.

Responses

The number of bags of salt sold at West and South varied about the same amount.
The number of bags of salt sold at West and South varied about the same amount.

The number of bags of salt sold at North and South varied about the same amount.
The number of bags of salt sold at North and South varied about the same amount.

The number of bags of salt sold at West varied more than did the number sold at North.
The number of bags of salt sold at West varied more than did the number sold at North.

The number of bags of salt sold at West varied less than did the number sold at South.
The number of bags of salt sold at West varied less than did the number sold at South.
Store location Mean number of sales Mean Absolute Deviation
West 48 3.1
North 49 6.7
South 28 6.9

1 answer

To evaluate the statements, we need to compare the Mean Absolute Deviation (MAD) of the number of bags of salt sold at each location.

Here are the MAD values for each store location:

  • West: 3.1
  • North: 6.7
  • South: 6.9

Now, let's analyze each statement:

  1. The number of bags of salt sold at West and South varied about the same amount.

    • False. West has a MAD of 3.1, while South has a MAD of 6.9. These values are not about the same amount.

  2. The number of bags of salt sold at North and South varied about the same amount.

    • True. North has a MAD of 6.7, and South has a MAD of 6.9. These values are quite close, indicating similar levels of variation.

  3. The number of bags of salt sold at West varied more than did the number sold at North.

    • False. West has a MAD of 3.1, while North has a MAD of 6.7. West varied less than North.

  4. The number of bags of salt sold at West varied less than did the number sold at South.

    • True. West has a MAD of 3.1, and South has a MAD of 6.9. Therefore, West varied less than South.

In summary, the correct statements are:

  • The number of bags of salt sold at North and South varied about the same amount.
  • The number of bags of salt sold at West varied less than did the number sold at South.