Descriptive Statistics & Mean Calculator
Enter a list of comma or space-separated numbers to find the mean, median, mode, standard deviation, and variance.
Mean mode focuses on arithmetic average, sum, and sample size while still showing spread with variance and standard deviation.
Statistics Summary
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Frequently Asked Questions
What is the difference between population and sample standard deviation?
Population standard deviation (σ) is used when you have the entire population data. Sample standard deviation (s) is used when the data is a subset or sample of a larger population, applying Bessel's correction (n - 1 instead of n in the denominator) to provide an unbiased estimator.
How is the median calculated?
First, sort the numbers from smallest to largest. If the count is odd, the median is the middle number. If the count is even, the median is the average of the two middle numbers.
Can a dataset have multiple modes?
Yes. A dataset can be unimodal (one mode), bimodal (two modes), multimodal (three or more modes), or have no mode if all numbers appear the same number of times.