Question

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.

Answer 1

[AI-generated answer — Bot GPT 3.5]

The observation that can be made using these data is: Group X has less variability in the data. This can be determined by comparing the mean absolute deviation (MAD) for both groups - Group X has a MAD of 3.07, which is lower than the MAD of 5.25 for Group Y. MAD is a measure of variability, so a lower MAD indicates less variability in the data.