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📐 Descriptive Statistics Calculator

Get a full statistical summary of your data set in one click. Enter up to eight values to see the mean, median, mode, range, variance, and standard deviation.

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What This Calculator Does

This calculator produces a full descriptive summary of a small data set: the mean, median, mode, range, variance, and standard deviation, all from a single set of entered values.

The Formulas

  • Mean = sum of all values ÷ count of values
  • Median = the middle value when the data is sorted (or the average of the two middle values for an even count)
  • Mode = the most frequently occurring value
  • Range = maximum value − minimum value
  • Population Variance = average of the squared differences from the mean; Sample Variance divides by (n − 1) instead of n
  • Standard Deviation = the square root of variance

Population statistics assume your values represent the entire group of interest, while sample statistics assume your values are a sample drawn from a larger population — sample standard deviation is slightly larger to correct for that uncertainty. This tool is for general educational and analytical use.

Last reviewed August 2026