OnlineTool.me

Statistics Calculator

Paste a list of numbers to get center, spread, quartiles, modes, and both sample and population statistics.

Summarize a Number List

Paste numbers separated by commas, spaces, semicolons, or new lines to get descriptive statistics.

Count, sum, mean, median, mode, range, quartiles, variance, and standard deviation will appear here.

How to Use Statistics Calculator

1

Paste the Data Values

Separate numbers with commas, spaces, semicolons, or new lines.

2

Review Center and Spread

Compare mean, median, mode, extremes, range, and standard deviations as the list updates.

3

Choose the Correct Convention

Use population results for the complete population and sample results when the values are a sample.

Statistics Calculator Features

  • Paste up to 10,000 values
  • Mean, median, mode, and sum
  • Quartiles, IQR, range, and extremes
  • Sample and population variance and standard deviation

Common Use Cases

Summarize an assignment data set

Paste measurements, scores, or observations and compare center and spread without manually sorting the list.

Check sample versus population formulas

See both n and n−1 variance conventions side by side so the selected statistic matches the data context.

Limits and Important Notes

Result type: Exact calculation

Calculation Details

  • Parse and sort all entered numeric values.
  • Calculate count, sum, mean, median, modes, extremes, range, and median-of-halves quartiles.
  • Measure squared distance from the mean and divide by n or n−1 for population or sample results.

Formula

Mean = Σx/n; population variance = Σ(x−μ)²/n; sample variance = Σ(x−x̄)²/(n−1).

Rounding

Calculations retain full floating-point precision and display summary values with up to eight decimal places.

Default Assumptions

  • Every entered value has equal weight.
  • The list contains no missing-value markers.
  • For an odd count, Q1 and Q3 use the lower and upper halves with the overall median excluded.

Verified Example

Inputs: 2, 4, 4, 6, 8.

Calculation: Sum = 24 and n = 5, so mean = 4.8; sorted median and mode are 4; population squared-deviation total 20.8 is divided by 5.

Result: Mean 4.8, median 4, mode 4, population variance 4.16, and sample variance 5.2.

Sources and Version

Version: Descriptive statistics with median-of-halves quartiles

Last verified: 2026-08-15

Update responsibility: OnlineTool.me

  • Different software can use different quartile interpolation conventions; this page uses median-of-halves and states that method beside the result.
  • Sample standard deviation needs at least two values.
  • The tool does not handle weights, frequencies, confidence intervals, missing-data codes, units, or inferential statistical tests.

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Frequently Asked Questions