The ages of two groups of yoga students are shown in the following dot plots:

A dot plot shows Age in years on the horizontal axis. For Group P, there is 1 dot on 4, 2 dots on 5, 3 dots on 7, 1 dot on 8, 2 dots on 12, 1 dot on 14, 2 dots on 16, and 1 dot on 17. For Group Q, there is 1 dot on 4, 2 dots on 6, 2 dots on 8, 1 dot on 10, 3 dots on 12, 2 dots on 14, 3 dots on 16, 1 dot on 19, 3 dots on 20, 1 dot on 21, 2 dots on 22, 1 dot on 23, and 3 dots on 24.

The mean absolute deviation (MAD) for group P is 4.15 and the MAD for group Q is 5.35. Which of the following observations can be made using these data?

Group P has less variability in the data.

Group P has greater variability in the data.

Group Q has a lower range.

Group Q has a lower mean.

Question

Mathematics

Damari Odonnell

30 July, 23:08

The ages of two groups of yoga students are shown in the following dot plots:

A dot plot shows Age in years on the horizontal axis. For Group P, there is 1 dot on 4, 2 dots on 5, 3 dots on 7, 1 dot on 8, 2 dots on 12, 1 dot on 14, 2 dots on 16, and 1 dot on 17. For Group Q, there is 1 dot on 4, 2 dots on 6, 2 dots on 8, 1 dot on 10, 3 dots on 12, 2 dots on 14, 3 dots on 16, 1 dot on 19, 3 dots on 20, 1 dot on 21, 2 dots on 22, 1 dot on 23, and 3 dots on 24.

The mean absolute deviation (MAD) for group P is 4.15 and the MAD for group Q is 5.35. Which of the following observations can be made using these data?

Group P has less variability in the data.

Group P has greater variability in the data.

Group Q has a lower range.

Group Q has a lower mean.

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Answers (1)

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Benson · Answer 1

Answer: Group P has less variability in the data.

If you compare the mean absolute deviations (MAD), you see that group P has a lower value than group Q. This means that the values in group P are closer to the mean than group Q. Therefore, we say that it have less variability. In other words, the values don't vary as much.