Question

What will happen to the mean if the outlier is removed?4, 5, 5, 7, 9, 17It will increase.It will be the same as the median.It will decrease.It will not change.

Answer 1

Answer: Provided the following data set, we have to determine the mean if we remove the outlier value in the data set:

$4,5,5,7,9,17$

The outlier value is:

$17$

Therefore the average with and without outlier is as follows:

$\begin{gathered} A_1=\frac{4+5+5+7+9+17}{6}=7.8333 \\ \\ A_2=\frac{4+5+5+7+9}{5}=6 \\ \\ A_1>A_2 \end{gathered}$

Therefore the answer is:

$\text{ It will Increase}$