Question

When the MAD of a data set is $0$, it means that there is ________ in the data.

• A. a function
• B. a relation
• C. a variation
• D. no variation

Answer 1

The correct option is D no variation

When the MAD of a data set is $0,$ it means that there is no variation in the data.
Example:
For the data set $2,2,2,2,2:$
Mean $=\frac{2+2+2+2+2}{5}5=\frac{10}{5}=2$
MAD $=\frac{\left|\begin{array}{c}2-2\end{array}\right|+\left|\begin{array}{c}2-2\end{array}\right|\left|\begin{array}{c}2-2\end{array}\right|+\left|\begin{array}{c}2-2\end{array}\right|+\left|\begin{array}{c}2-2\end{array}\right|}{5}=\frac{0}{5}=0$