Statistics Calculator

Paste or type a list of numbers below — separated by commas, spaces or line breaks — and all descriptive statistics update instantly.

Central tendency
Count
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Sum
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Mean
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Median
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Mode
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Spread & dispersion
Min
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Max
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Range
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Q1 (25th pct.)
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Q3 (75th pct.)
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IQR
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Variance (pop.)
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Variance (sample)
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Std Dev (pop.)
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Std Dev (sample)
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Learn more
What is the mean? What is the median? What is the mode? Standard deviation explained Mean vs median: which to use?

About descriptive statistics

What does this calculator compute?

This tool computes the most common descriptive statistics — numbers that summarise a data set without showing every individual value. They answer two fundamental questions: where is the centre? (mean, median, mode) and how spread out are the values? (range, variance, standard deviation, IQR).

Population vs sample

When your data set is the entire population, use the population formulas (divide by n). When it is a sample drawn from a larger group, use the sample formulas (divide by n − 1, called Bessel's correction). If in doubt, the sample standard deviation is the safer default for real-world data.

Quartiles and the IQR

The interquartile range (IQR) = Q3 − Q1 spans the middle 50 % of the data. It is a robust spread measure: unlike the standard deviation, it is not affected by extreme outliers. Box-and-whisker plots are drawn around the IQR.

Frequently asked questions

The mean (arithmetic average) is the sum of all values divided by the count. It represents the "centre of gravity" of the data. Formula: x̄ = Σxᵢ / n.
The median is the middle value when the data is sorted. If there is an even number of values, it is the average of the two middle values. The median is resistant to outliers, unlike the mean.
The mode is the most frequently occurring value. "None" means every value appears exactly once — there is no value that repeats more than any other.
Population std dev divides by n (the full data set). Sample std dev divides by n−1 (Bessel's correction) to correct for bias when estimating a larger population from a sample. Use sample std dev for most real-world applications.
The interquartile range (Q3 − Q1) measures the spread of the middle 50% of values. It is used to detect outliers: values more than 1.5 × IQR below Q1 or above Q3 are usually considered outliers.
Yes. The calculator accepts integers and decimal numbers. Use a dot (.) as the decimal separator. Separate values with commas, spaces, tabs or line breaks.
The range is simply max − min. It is the simplest measure of spread but is sensitive to outliers because it depends only on the two extreme values.

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