10.7k views
1 vote
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.

User Rod Xavier
by
8.0k points

1 Answer

4 votes

Final answer:

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).

User Atreys
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories