The ages of two groups of dance students are shown in the following dot plots: A dot plot shows Age in years on the horizontal axis.

For Group X, there are 3 dots on 4, 1 dot on 5, 5 dots on 8, 2 dots on 10, 3 dots on 12, and 2 dots on 16.

For Group Y, there are 2 dot on 5, 3 dots on 7, 1 dot on 9, 3 dots on 11, 1 dot on 13, 2 dots on 14, 1 dot on 15, 1 dot on 18, 3 dots on 20, 1 dot on 22, and 2 dots on 24.

The mean absolute deviation (MAD) for group X is 3.07 and the MAD for group Y is 5.25.

Which of the following observations can be made using these data?

Group X has less variability in the data.

Group X has greater variability in the data.

Group Y has a lower range.

Group Y has a lower mean.

Question

Mathematics

Cadence

16 May, 03:39

The ages of two groups of dance students are shown in the following dot plots: A dot plot shows Age in years on the horizontal axis.

For Group X, there are 3 dots on 4, 1 dot on 5, 5 dots on 8, 2 dots on 10, 3 dots on 12, and 2 dots on 16.

For Group Y, there are 2 dot on 5, 3 dots on 7, 1 dot on 9, 3 dots on 11, 1 dot on 13, 2 dots on 14, 1 dot on 15, 1 dot on 18, 3 dots on 20, 1 dot on 22, and 2 dots on 24.

The mean absolute deviation (MAD) for group X is 3.07 and the MAD for group Y is 5.25.

Which of the following observations can be made using these data?

Group X has less variability in the data.

Group X has greater variability in the data.

Group Y has a lower range.

Group Y has a lower mean.

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Answers (1)

Know the Answer?

Terrence Chung · Answer 1

The mean absolute deviation is a measure of variability, so knowing that group X has a lower mean absolute deviation mean that there is less variability in the data. All the other three statements can be proved as false.