The mean absolute deviation is 0.1, what conclusions can be drawn?
A. the data points are closer to the median
B. the data points are far from the median
C. the data points are far from the mean
D. the data points are close to the mean

D. the data points are close to the mean

Step-by-step explanation:

We are given Mean Absolute Deviation (MAD) of the data set which is 0.1. Mean absolute Deviation only gives information about the data in regards to the mean, not the median. Therefore, we can eliminate the first two given choices.

MAD is the average of absolute deviations of the data points with respect to the mean. This means, MAD tells us that on average, how far is each data point from the mean of the data.

A smaller value of MAD indicates that the average difference(absolute deviation) between the data points and the mean is smaller, and hence the data points are closer to the mean. On other hand, a larger value of MAD indicates that the data points are farther from the mean.

Since the given value of Mean Absolute Deviation is 0.1, which is relatively small value. So, we can conclude that the data points of this data set are closer to the mean. So, option D is the correct choice.