# Statistics Calculator

> Compute mean, median, mode, range, variance, standard deviation, and quartiles from a list of numbers.

URL: https://uttir.com/statistics-calculator
Categories: math-tools
Privacy: Your numbers are processed entirely in your browser. Nothing is uploaded — close the tab and the data is gone.

## About

Descriptive statistics turn a long list of numbers into a few numbers that describe the whole list at a glance — how big the typical value is, how spread out it is, and where most of the values cluster. This calculator handles the standard set: count, sum, min, max, range, mean, median, mode, variance, standard deviation, and the 25th / 75th percentiles (Q1 / Q3).

Paste any whitespace- or comma-separated list of numbers, hit Compute, and read the results. Useful for grades, experiment data, finance, and quick sanity checks before pushing data into a spreadsheet or a stats package.

## How to use

1. **Enter your numbers** — Paste any list separated by spaces, commas, or new lines.
2. **Compute** — Press the button or just keep typing — results update as you go.
3. **Read the results** — Central tendency (mean / median / mode) and spread (variance / std dev / IQR) are shown side by side.

## Examples

### Test scores for a class

Ten scores out of 100. Want to know the class average and how spread out the grades are.

Input:

```
78 82 91 65 88 73 95 81 70 84
```

Output:

```
Mean 80.7 · Median 81.5 · Std dev 8.96 · Range 30
```

### Daily pageviews for a week

Quick sanity check before logging into a real analytics tool.

Input:

```
1240, 980, 1110, 1450, 1320, 1075, 1690
```

Output:

```
Mean 1266 · Median 1240 · Std dev 226 · Range 710
```

## FAQ

### What is the difference between mean and median?

The mean is the arithmetic average — sum divided by count. The median is the middle value when the list is sorted. Median is more robust to outliers: in the list 1, 2, 3, 4, 1000 the mean is 202, but the median is 3.

### Population vs sample standard deviation?

This calculator uses population standard deviation (divides by N). For sample standard deviation (divides by N − 1), most stats packages default to that — swap the denominator when you need it for a small sample from a larger population.

### What are Q1 and Q3?

Q1 is the 25th percentile — 25% of values are below it. Q3 is the 75th percentile. The difference, IQR, is a robust measure of spread that is unaffected by extreme values.

### How are numbers parsed?

Any token that looks like a number (with optional sign, decimal, or scientific notation) is kept. Letters, units, and empty cells are ignored — so "10 kg, 20 kg, 30 kg" parses to [10, 20, 30].

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For the full HTML page with the live tool, visit https://uttir.com/statistics-calculator.
This file is the markdown rendering at https://uttir.com/statistics-calculator.md. See https://uttir.com/llms.txt for a site-wide summary.
