MATH SOLVE

4 months ago

Q:
# 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.

Accepted Solution

A:

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.

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.