Question

Linda was asked to create two sets so that the following would be true:

• Set A has a mean larger than Set B.
• The mean absolute deviation of Set A is smaller than the mean absolute deviation of Set B.
• Each set must contain at least 5 data points.
Which statement is true about the sets Linda created?
F The two sets meet all the criteria given to her.
G The two sets are not correct because Set B has a smaller mean than Set A.
H The two sets are not correct because they do not contain enough data points.
J The two sets are not correct because the mean absolute deviation of Set A is larger than the mean absolute deviation of Set B.

Answer 1

Linda's two sets meet all the criteria given to her.

Step-by-step explanation:

To create two sets that satisfy the given criteria, Linda needs to construct sets A and B with different means and mean absolute deviations. Here is an example:

Set A: {3, 4, 5, 6, 7}

Set B: {1, 2, 3, 8, 9}

In this example, the mean of Set A is 5 and the mean of Set B is 4.6, so the mean of Set A is indeed larger than the mean of Set B. Additionally, the mean absolute deviation of Set A is 1.2 and the mean absolute deviation of Set B is 2.8, so the mean absolute deviation of Set A is smaller than the mean absolute deviation of Set B. Therefore, Linda's two sets meet all the criteria given to her (F).