Question

A set of data has MAD O and one of the data values is 14. What can you say about the data values?

Answer 1

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.

$MAD=\dfrac{\sum |x_i-\overline x|}{n}$

MAD is 0. It is possible if $\sum |x_i-\overline x|$. It means all the values of $|x_i-\overline x|$ 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.