The correct observation is: Group X has less variability in the data.
This can be concluded based on the fact that the Mean Absolute Deviation (MAD) for Group X is 3.07, which is lower than the MAD for Group Y, which is 5.25. MAD measures the average distance between each data point and the mean. Lower MAD indicates less variability in the data.
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 dots 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.
1 answer
1 answer