Question

determine which statement is true of a data set with a low mean absolute deviation.
a the data set has a mode.
b the numbers in the data set are most likely numbers less than 10
c the mean of the data set is most likely a value less than 10.
d the numbers in the data set are close to the mean of the data set

Explanation:

The mean absolute deviation (MAD) measures the average distance between each data point and the mean. A low MAD indicates that the data points are clustered closely around the mean.

• Option A: Having a mode (most frequently occurring value) is not related to MAD.
• Option B: The magnitude of the numbers (less than 10 or not) is not determined by MAD.
• Option C: The value of the mean (less than 10 or not) is not related to MAD.
• Option D: This is correct as low MAD means data points are close to the mean.

Answer:

D. The numbers in the data set are close to the mean of the data set.