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 a Gaussian distribution with a mean of 0 and a standard deviation of 4. Your task is to:

1. Specify mean equals 0.
2. Specify std equals 4.
3. 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 a 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.