Answer: All of the data values are all 14.
MAD stands for Mean Absolute Deviation. It is found by finding the distance each value is from the mean, and dividing over the number of items n in the data set.
If the MAD is 0, then this tells us each distance from the mean is 0, and therefore each value is the same. If you were to make a dot plot, you would have a stack of dots over the label "14" on the horizontal axis.
All the data values in the distribution are all 14.
The mean absolute deviation gives the mean of the distance of all the values in a distribution from the mean value of that distributuon.
This can be seen in the mean absolute deviation formula :
Mean absolute deviation (MAD) :
MAD = Σ|Xi - m|/ n
Where ; m = mean value of the distribution
Xi = each ith value on the distribution.
n = number of values in the distribution.
Therefore, the only way to obtain a MAD value of 0 is for all the values in the distribution to be the same.
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