Calculate complete descriptive statistics — mean, median, mode, variance, std deviation and more.
Works with any amount of numbers
A statistics calculator computes descriptive statistics for a dataset, including measures of central tendency (mean, median, mode) and measures of spread (variance, standard deviation, range). Our online statistics calculator accepts any list of numbers and instantly calculates all key statistical measures — essential for students, researchers, data analysts, and business professionals.
Range = Maximum value − Minimum value. Simple but affected by outliers. Variance = Average of squared differences from the mean. Higher variance = more spread. Standard Deviation = Square root of variance. Expressed in the same units as the data, making it easier to interpret than variance. Interquartile Range (IQR) = Q3 − Q1 — measures spread of the middle 50% of data, resistant to outliers.
Use mean when data is normally distributed without significant outliers (exam scores, heights, weights). Use median when data is skewed or has outliers. For example, median household income is reported instead of mean income because a small number of extremely wealthy people would make the mean much higher than what a typical household earns. This is why median is a more representative measure for income and real estate prices.
In a normal distribution (bell curve), 68% of data falls within 1 standard deviation of the mean, 95% within 2 standard deviations, and 99.7% within 3 standard deviations. This rule is used in quality control, standardized testing (Z-scores), and research to determine how unusual a particular data point is relative to the population.
Mean is the average. Median is the middle value when sorted. Mode is the most frequently occurring value. Each describes the center of a dataset differently.
Use median when data has extreme outliers or is skewed. For example, median income is more representative than mean income because a few billionaires skew the mean.
Variance measures how far data points are spread from the mean. It is the square of the standard deviation. High variance means data is widely spread.
Range is the difference between the maximum and minimum values in a dataset. It is the simplest measure of spread or variability.
