Question

Consider the following random sample of data: -8, -7, 3, 7, 8, -1, -1, -1, -3, 83

Answer 1

a) Mean of the sample considering the outlier:

$\mu=\frac{\Sigma x_i}{n}$

n=10.

Therefore:

$\mu=\frac{-8-7+3+7+8-1-1-1-3+83}{10}=8$

b) Removing the outlier:

Outlier= 83.

The mean will be:

$\mu=\frac{-8-7+3+7+8-1-1-1-3}{9}=-\frac{1}{3}=-0.33$

Answer:

a) Mean with the outlier: 8

b) Mean removing the outlier: -0.33