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SmaftyTools

Average / Statistics Calculator

Calculate mean, median, mode, range and standard deviation from a list of numbers. Free online statistics calculator.

About Average / Statistics Calculator

The Average / Statistics Calculator turns a list of numbers into the summary statistics you'd otherwise compute by hand or in a spreadsheet: mean, median, mode, range, and both population and sample standard deviation. Paste or type numbers separated by commas, spaces or new lines — mixed separators are fine, and non-numeric entries are simply ignored — and every statistic recalculates live as you edit the list. It's built for students checking homework, anyone reviewing a small dataset, or quickly summarizing a set of measurements without opening a spreadsheet.

Mean, median and mode each answer "what's typical" a little differently, and seeing all three side by side makes it easy to spot when they disagree — a sign the data might be skewed by outliers. The mean (arithmetic average) is sensitive to extreme values; the median (the middle value when sorted) isn't; the mode (the most frequent value) only appears when a value repeats, and shows "None" when every number in the list is unique.

Standard deviation measures how spread out the numbers are from the mean, and this tool reports both versions used in statistics: the population standard deviation (when your list is the entire dataset you care about) and the sample standard deviation (when your list is a sample used to estimate a larger population's spread, which uses Bessel's correction — dividing by n−1 instead of n — to avoid underestimating the true variability).

Everything computes instantly and privately in your browser as you type — nothing about your dataset is uploaded anywhere. A shareable link (via the Share button) lets you send a specific dataset and its computed statistics to someone else without them needing to retype the numbers.

How to Use the Average / Statistics Calculator

  1. Type or paste a list of numbers, separated by commas, spaces or new lines.
  2. Statistics update automatically as you edit the list.
  3. Read mean, median, mode, range and standard deviation from the result tiles.

Features

  • Mean, median, mode, min, max and range
  • Both population and sample standard deviation
  • Accepts commas, spaces or newlines as separators; ignores non-numeric text
  • Shareable link via `?input=` for sending a dataset to someone else

Examples

Small dataset with a repeated mode

Input

2, 4, 4, 4, 5, 5, 7, 9

Output

Mean 5, median 4.5, mode 4, std dev 2

Six unrelated measurements

Input

12, 15, 20, 20, 25, 30

Output

Mean ≈ 20.33, median 20, std dev ≈ 5.96

Frequently Asked Questions

What's the difference between population and sample standard deviation?

Population standard deviation treats your list as the complete dataset and divides by n. Sample standard deviation treats your list as a sample from a larger population and divides by n−1 (Bessel's correction), which gives a slightly larger, less biased estimate of the true population spread.

What does it show when there's no repeated number?

The mode shows "None" — mode only has a meaningful value when at least one number appears more than once in the list.

What are the mean, median and standard deviation of 2, 4, 4, 4, 5, 5, 7, 9?

Mean 5, median 4.5, mode 4, and a population standard deviation of exactly 2.

Is the Statistics Calculator free?

Yes, the Statistics Calculator is completely free with no usage limits. No signup, no account and no installation required.

Is my data safe?

Yes. All processing happens locally in your browser using JavaScript — nothing you type is uploaded or stored on our servers.