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Statistics Calculator

Calculate mean, median, mode, and standard deviation.

15 parsed

Separate values with spaces, commas, semicolons or line breaks. Negatives, decimals and scientific notation are all accepted.

Summary
Count
15

How many numbers were parsed.

Sum
228

Every value added together.

Central tendency

Where the data is centred — mean, median and mode.

Mean
15.2

The arithmetic average — every value added up, divided by the count.

Median
14

The middle value once the numbers are sorted; half are below it.

Mode
7

The value (or values) that appear most often. Blank when nothing repeats.

Spread

How widely the values are scattered — range, variance, standard deviation and IQR.

Range
24

The largest value minus the smallest — the full span of the data.

Sample variance
59.4571

Average squared distance from the mean, divided by n − 1 (a sample).

Population variance
55.4933

Average squared distance from the mean, divided by n (a full population).

Sample std. deviation
7.7108

Square root of the sample variance — typical spread, in the same units.

Population std. deviation
7.4494

Square root of the population variance — use it when you have every value.

Interquartile range (IQR)
12.5

Q3 minus Q1 — the spread of the middle 50% of the data.

Quartiles

The five-number summary: minimum, Q1, median, Q3 and maximum.

Minimum
7

The smallest value in the set.

Q1 (25th percentile)
8

A quarter of the values fall at or below this point.

Median (Q2)
14

The midpoint — half the values fall on either side.

Q3 (75th percentile)
20.5

Three quarters of the values fall at or below this point.

Maximum
31

The largest value in the set.

Box plot — min, Q1, median, Q3, max
731
Frequency table

Each distinct value and how many times it appears — handy for discrete data.

Processed on your device. We never see your files.

How to use Statistics Calculator

What this tool does

This statistics calculator takes a list of numbers and produces a complete descriptive summary in one place: how many values there are, their sum, the mean, median and mode, the smallest and largest values, the range, the sample and population variance, the sample and population standard deviation, and the quartiles with the interquartile range. Paste your numbers, and every figure appears instantly. The page loads with a sample set of fifteen numbers so you can see exactly what the output looks like before you use your own data.

Results are grouped so they are easy to read rather than dumped in a long list. Central tendency holds the mean, median and mode. Spread holds the range, both variances, both standard deviations and the IQR. Quartiles shows the five-number summary — minimum, Q1, median, Q3 and maximum — alongside a small box-plot-style bar so you can see the shape of the data at a glance.

Why and when you would use it

Anyone who works with numbers needs these figures regularly and does not always want to open a spreadsheet to get them. A marketer checking the spread of campaign click-through rates, a teacher summarising a set of test scores, an operations analyst measuring delivery times, or a student completing a statistics assignment all need the same handful of numbers. Pasting a column here is faster than writing a formula for each statistic, and seeing them grouped and explained means you understand what they tell you, not just what they equal.

The box plot and frequency table add a layer a bare calculator does not. The box plot shows whether your data is lopsided — if the median sits far from the centre of the box, the data is skewed. The frequency table is ideal for discrete data like survey ratings or counts, where seeing that “7” appears five times matters more than the average.

How to use it

  1. Paste or type your numbers into the box. Separate them with spaces, commas, semicolons or line breaks — copying a column from a spreadsheet works fine.
  2. Read the grouped results. Central tendency tells you where the data sits; Spread tells you how scattered it is; Quartiles gives the five-number summary and the box plot.
  3. Hover over any statistic, or read the small grey line beneath it, for a plain-language description of what it means.
  4. Open the Frequency table to see each distinct value and how often it appears — useful for ratings, counts and other discrete data.
  5. Use Copy results to copy a clean text summary you can paste into a report, an email or your notes.

Common pitfalls and tips

The most common mistake is choosing the wrong standard deviation. If your numbers are every member of the group you care about, use the population figure; if they are a sample standing in for a larger group, use the sample figure. This tool shows both so you do not have to recompute.

Watch out for stray text. A pasted column sometimes carries a header word, a currency symbol or a “N/A” cell. The calculator ignores anything that is not a finite number and tells you how many tokens it skipped — if that count is higher than you expect, check your input for hidden text. Also remember that the mean is pulled by outliers: one unusually large value can make the average misleading, which is exactly when the median is the better summary.

Finally, the mode can be blank. If every value is unique there is no mode, and that is a valid, meaningful result — it simply means nothing repeats.

Privacy

This calculator runs entirely inside your browser. Your numbers are parsed and every statistic is computed on your own device by JavaScript — nothing is uploaded, stored or logged, and nothing leaves your computer. When you clear the box or close the tab the data is gone, so it is safe to use with figures from confidential reports or unpublished work.

Frequently asked questions

What is the difference between sample and population standard deviation?
It comes down to whether your numbers are the whole group or just a slice of it. Population standard deviation divides by the count (n) and is correct when you have every member of the group — for example, the test scores of every student in one class. Sample standard deviation divides by the count minus one (n − 1) and is correct when your numbers are a sample meant to represent a larger group you did not fully measure — for example, 200 survey responses standing in for all customers. Dividing by n − 1 nudges the result slightly larger to correct for the fact that a sample tends to look a little tighter than the full population. This tool reports both, so you can pick the one that matches your situation. When in doubt, most real-world data is a sample, so the sample figure is the safer default.
What is the difference between the mean, the median and the mode?
All three describe the 'centre' of your data but in different ways. The mean is the arithmetic average — add every value and divide by how many there are. The median is the middle value once the numbers are sorted, so half the data sits below it and half above. The mode is simply the value that occurs most often. The mean is sensitive to extremes: one very large value drags it upward. The median ignores how far away the extremes are, so it is a more honest 'typical' value for skewed data like incomes or house prices. The mode is the only one that works for picking the most common category and can be blank (nothing repeats) or have several values (multimodal).
How should I separate the numbers I paste in?
Any common separator works. You can paste numbers split by spaces, commas, semicolons or line breaks, or a mix of all of them — paste a column straight out of a spreadsheet and it will be read correctly. The tool keeps every token that parses as a finite number, including negatives, decimals and scientific notation, and quietly ignores anything else. If it skips some tokens it tells you how many, so you can check for stray text or symbols.
Are the formulas standard?
Yes. The mean is the ordinary arithmetic mean, the median is the midpoint of the sorted values, variance and standard deviation use the standard sample (n − 1) and population (n) formulas, and the quartiles use linear interpolation — the same method spreadsheets use for their PERCENTILE and QUARTILE functions. Results will match Excel, Google Sheets and other statistics tools for the same input.
Is my data private when I use this calculator?
Completely. Every number you paste is parsed and every statistic is calculated by JavaScript running inside your own browser. Nothing is uploaded to a server, nothing is stored between visits and nothing is logged or tracked. When you clear the box or close the tab, the data is gone. That makes it safe to run figures from confidential reports, salary data or unpublished research without it ever leaving your device.

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