Back to Home

Statistics Calculator

Enter a set of numbers to instantly calculate key descriptive statistics including mean, median, mode, range, standard deviation, and variance. Results update automatically as you type.

All calculations run locally in your browser — your data is never sent to a server.

Enter numbers separated by commas, spaces, or newlines

About This Calculator

Descriptive statistics summarize a data set with a few key numbers. The mean gives the average, the median identifies the middle value, and the mode reveals the most frequent value. Together with range, standard deviation, and variance, these measures help you understand the center, spread, and shape of your data. This calculator supports both population and sample formulas so you can choose the one that fits your analysis.

FAQ

What is the difference between mean, median, and mode?
The mean is the arithmetic average — add all values and divide by the count. The median is the middle value when the data is sorted; it is less affected by outliers than the mean. The mode is the value that appears most frequently. A data set can have no mode, one mode, or multiple modes.
When should I use population vs sample standard deviation?
Use population standard deviation (σ) when your data set includes every member of the group you are studying. Use sample standard deviation (s) when your data is a subset (sample) of a larger population. The sample formula divides by n − 1 instead of n to correct for bias in estimating the population parameter.
What does the standard deviation tell you?
Standard deviation measures how spread out the values are from the mean. A low standard deviation means the data points cluster tightly around the average, while a high standard deviation indicates the values are more dispersed. It is expressed in the same units as the original data, making it easier to interpret than variance.
How do you find the median of an even set of numbers?
Sort the numbers in ascending order. With an even count, there is no single middle value, so the median is the average of the two middle values. For example, in the set {2, 4, 6, 8}, the two middle values are 4 and 6, so the median is (4 + 6) ÷ 2 = 5.

Related Tools

Quadratic Solver Scientific Notation Significant Figures