Question

What does a data distribute look like if it's MAD equals zero

Answer 1

A dataset with a MAD of zero indicates that all values are identical, with no variability, resulting in a graph with a single line or bar at the mean value.

Step-by-step explanation:

If a dataset's Mean Absolute Deviation (MAD) equals zero, this indicates that all of the values in the data set are identical. MAD is a measure of variability that represents the average distance of each data point from the mean. If there is no variability in the data, meaning that every number is the same as the mean, the MAD would be zero. Therefore, the data distribution would look like a single line or bar at one value on a graph, since there would be no spread of data.

Answer 2

Because a MAD is the average of distances, which can never be negative, the MAD is always zero or a positive number.