# Outliers Relative to the Mean

*English translation by SOTA – AI Community of the Russian original. Organisers who would like this translation removed can email sota.ai.community@gmail.com.*

*Task 6 of the school stage of the All-Russian School Olympiad (VsOSh) 2025/26 in artificial intelligence (region group III), grades 9–11. The official answer and solution are in a separate file.*

The data for this task are in a spreadsheet file. You can download the file in one of three formats: XLSX, ODS, CSV.

A rectangular table is given; each of its rows contains five natural numbers. Denote the value in the third column by $x$. Let us find the mean value of this column:

$$\bar{x} = \text{the arithmetic mean of all } x.$$

We will consider a row's value an *outlier* if the following inequality holds:

$$|x - \bar{x}| > \bar{x}.$$

**Problem.** In how many rows is the value in the third column an outlier?

**Scoring criterion:** exact match of the numerical answer — 12 points

**Maximum score for the task — 12**