# Statistics Calculator - Mean, Median, Mode, Variance and Standard Deviation

> Free online statistics calculator: paste a data set for the mean, median, mode, range, quartiles, variance, standard deviation, standard error and outliers.

- URL: https://qilingtools.com/en/math/statistics
- Category: Math Tools (https://qilingtools.com/en/math)
- Tags: [Math](https://qilingtools.com/en/tags/math), [Statistics](https://qilingtools.com/en/tags/statistics)
- Last updated: 2026-10-26
- Price: Free, no sign-up
- Privacy: Runs locally in the browser; files are never uploaded

Paste a set of numbers and get every common descriptive statistic at once: mean, median, mode, minimum and maximum, range, quartiles and IQR, sample and population variance and standard deviation, standard error and coefficient of variation, with 1.5×IQR outliers flagged.

## How to use

1. Paste your data, separated by spaces, commas, semicolons or line breaks
2. All statistics appear immediately, with sample and population values side by side
3. Copy any value, or the sorted data set

## Features

- 18 descriptive statistics in one pass
- Sample (n-1) and population (n) variance and standard deviation shown separately
- Quartiles by linear interpolation, matching Excel PERCENTILE.INC
- Outliers outside 1.5×IQR flagged automatically
- Any separator, so you can paste straight from a spreadsheet

## FAQ

### What is the difference between sample and population standard deviation?

The sample version divides by n-1 (an unbiased estimate used when inferring about a population); the population version divides by n when you already have every data point. Both are shown.

### How is the mode determined?

The value or values that occur most often, provided they occur more than once. If every value appears equally often there is no mode.

### How are outliers defined?

Values below Q1 − 1.5×IQR or above Q3 + 1.5×IQR, the usual box-plot rule.

### Can I paste straight from Excel?

Yes — spaces, tabs, commas, semicolons and line breaks all work as separators, and blank lines are ignored.

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