Course Content

# Probability Theory Mastering

1. Additional Statements From The Probability Theory

3. Estimation of Population Parameters

4. Testing of Statistical Hypotheses

Probability Theory Mastering

## Challenge: Detecting Outliers Using 3-Sigma Rule

# Task

In the previous chapter, we mentioned that we can find outliers for **normally distributed random variables** using the 3-sigma rule. In the general case, we will consider all those values outside the 3-sigma range as outliers.

Your task is to find outliers on a specific dataset. You have to assume that the given samples have Gaussian distribution with a mean of 0 and a standard deviation of 4.
Your task is to:

- Specify
`mean`

equals 0. - Specify
`std`

equals 4. - Specify criteria for outliers detection due to the 3-sigma rule.

Note

We have to admit that in real-life tasks, we cannot unreasonably say that the data has Gaussian distribution and a certain mean and standard deviation. For this, various statistical tests are carried out. This will be discussed in more detail in the next chapters.

_{Once you've completed this task, click the Submit Task button below the code to check your solution.}

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