What will happen to the mean if the outlier is removed?

4, 5, 5, 7, 9, 17

It will not change.
It will be the same as the median.
It will decrease.
It will increase.

Respuesta :

The right answers are:

It will be the same as the median.

It will decrease.

Step-by-step explanation:

Given data is:

4, 5, 5, 7, 9, 17

First of all, we will calculate the mean with and without outlier

So,

Mean with Outlier:

[tex]X_1 = \frac{Sum}{Items}\\= \frac{4+5+5+7+9+17}{6}\\= \frac{47}{6}\\=7.83[/tex]

Mean without Outlier:

[tex]X_2 = \frac{Sum}{Items}\\=\frac{4+5+5+7+9}{5}\\=\frac{30}{5}\\= 6[/tex]

The median with outlier is:

[tex]M_1 = \frac{5+7}{2}\\= \frac{12}{2} = 6[/tex]

Median without outlier:

M_2 = 5

So,

The right answers are:

It will be the same as the median.

It will decrease.

Keywords: Mean, median

Learn more about mean and median at:

  • brainly.com/question/7297385
  • brainly.com/question/729447

#LearnwithBrainly