From the given data, we can see that:
- On average the height of each hollyhock is about 6.4 inches away from 87.3 inches. True.
Why? The mean absolute deviation is the average distance between each data point and the mean.
- The heights of the hollyhock flowers in the garden varies more than the heights of the sunflowers. True.
Why? In the first case the mean absolute deviation is 6.4 and in the second case is 4.7 it means that the height of the hollyhock varies mores than the sunflowers.
- On average, the height of each sunflower is about 4.7 inches away from 70 inches. False.
Why? The mean absolute deviation is the average distance between each data point and the mean, not from the median.
- The height of the sunflowers varies more than the height of the hollyhocks in the garden. False.
Why? In the first case the mean absolute deviation is 4.7 and in the second case is 6.4.