Given:
Mean absolute deviation (MAD) = 0
One of the data values = 14.
To find:
The statement for other data values.
Solution:
We know that Mean absolute deviation (MAD) represents the average of absolute difference between observations and mean.
[tex]MAD=\dfrac{\sum |x_i-\overline x|}{n}[/tex]
MAD is 0. It is possible if [tex]\sum |x_i-\overline x|[/tex]. It means all the values of [tex]|x_i-\overline x|[/tex] are 0.
It means no deviations in mean angle values and all the values are the same.
Therefore, if MAD is 0 and one data value is 14, then all the data values are same, i.e., 14.
