Statistics Calculator: Mean, Median, Variance and Standard Deviation

How to calculate descriptive statistics?

Descriptive statistics summarize and analyze a numerical dataset through key indicators: central tendency (mean, median, mode), dispersion (variance, standard deviation, range) and distribution (quartiles, IQR). This calculator handles series of 2 to 1,000 values.

Mean, median and mode

The arithmetic mean (μ) is the sum of values divided by their count. The median is the central value that splits the ordered series into two equal halves. The mode is the most frequent value. These three indicators characterize the central tendency of a series.

Standard deviation and variance

Variance (σ²) measures the dispersion of values around the mean: σ² = Σ(xᵢ−μ)²/n. Standard deviation (σ) is the square root of variance. The larger σ, the more spread out the data. IQR (interquartile range = Q3−Q1) measures the spread of the central 50%.