Statistics Calculator
Paste numbers to get count, sum, mean, median, min, max and standard deviation at once. Handles newline, comma and space separators.
Inputs are not collected. Usage measurement requires your consent.
Key Formula & Conditions
Learning modelCalculates arithmetic mean, median, mode, sample variance s², unbiased variance u², standard deviation σ, range, and interquartile range (IQR). Highlights outlier effects and sample vs. population distinctions.
Enter numbers to see the results.
Done
Statistics Calculator
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Condition links include learning values, units and modes, visible to anyone receiving the link. Do not include personal or unpublished data. Favorites do not store these conditions.
Worked Examples & Verified Values
5 test scores (85,92,78,90,88)
Outlier check (300 to 5000)
8-value dispersion check
Common Pitfalls & Calculation Rules
- •Confusing sample variance (divided by n) with unbiased sample variance (divided by n - 1). When estimating population variance from sample data, use n - 1 degrees of freedom.
- •Over-relying on the mean in skewed datasets. When extreme outliers exist, the median is a more robust indicator of central tendency.
- •Confusing standard deviation (spread of data points) with standard error of the mean (SEM = σ / √n, precision of the estimated mean).
Verification scope and citation information
Use worked examples within their stated inputs, units and assumptions. Tests cover specific cases at a specific time; they do not certify every input, expert review or standards compliance. Check the references and tool-specific verification notes, and enter your own access date when citing.
@misc{tools_hub_statistics_calculator_2026,
author = {{Tools Hub}},
title = {Statistics Calculator},
year = {2026},
url = {https://the-tools-hub.net/en/tools/statistics-calculator/},
note = {Accessed: YYYY-MM-DD}
}How to use
- 1
Paste your numbers
Paste numbers separated by newlines, commas or spaces.
- 2
Read the results
Count, sum, mean, median, min, max and standard deviation update in real time.
- 3
Copy and use
Copy the summary straight into your report or document.
Features
- Seven statistics computed together in real time
- Auto-detects newline, comma, space and tab separators
- Handles pasted spreadsheet data and thousands separators
- Everything computed in your browser; nothing is transmitted
Use cases
Analyzing test scores
Check the average, median and spread of a list of scores.
Daily sales and measurements
Paste values to see the mean and standard deviation quickly.
Experiment prep
Summarize repeated measurements before writing a report.
Details
The statistics calculator summarizes a list of numbers in one pass: count, sum, mean, median, min, max and standard deviation. Where a calculator handles two values at a time, this tool aggregates dozens or hundreds of data points instantly.
The mean is the sum divided by the count. The median is the middle value when the data is sorted, which makes it resistant to outliers: for "1, 2, 3, 4, 1000" the mean is 202 but the median is 3. Choose the measure that matches your data.
Standard deviation expresses how spread out the data is: it is the square root of the variance (the average of squared distances from the mean). This tool uses the population formula (divide by n), matching the statistics taught in school and typical data checks. Everything runs in your browser and your numbers are never transmitted.
Statistics, Sig Figs & Error Propagation
Calculate mean and unbiased variance, round to JIS significant figures, fit linear regressions, and propagate experimental uncertainties.
FAQ
When should I use the mean vs the median?
Use the mean for data without outliers; the median better reflects data with extreme values. Checking both is a good habit.
How is the standard deviation calculated?
It is the square root of the variance (the average of squared distances from the mean), using the population formula (divide by n).
Can I paste data from Excel?
Yes. Tab and newline separators work, as do thousands separators (1,234) and full-width commas.
Are my numbers sent anywhere?
No. All computation happens locally in your browser and nothing is transmitted.
Why divide by n - 1 for unbiased variance?
Because calculating deviation around the sample mean underestimates true population dispersion. Dividing by n - 1 degrees of freedom corrects this negative bias (Bessel’s correction).
What does standard deviation σ represent?
It measures data dispersion around the mean. For a normal distribution, ~68.3% of observations fall within ±1σ and ~95.4% fall within ±2σ of the mean.
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All processing happens in your browser. Your files are never uploaded.
Verified: The seven statistics, separator detection, thousands separators and error states are covered by browser tests