Question

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

Answer 1

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:

$X_1 = \frac{Sum}{Items}\\= \frac{4+5+5+7+9+17}{6}\\= \frac{47}{6}\\=7.83$

Mean without Outlier:

$X_2 = \frac{Sum}{Items}\\=\frac{4+5+5+7+9}{5}\\=\frac{30}{5}\\= 6$

The median with outlier is:

$M_1 = \frac{5+7}{2}\\= \frac{12}{2} = 6$

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

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