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Variance & Statistics Calculator
Paste a list of numbers — comma or line separated — and get the full descriptive summary: count, sum, mean, median, mode, min, max, range, and both sample and population variance with standard deviation.
Sample vs population
Use sample statistics when your numbers are a subset you measured (a survey, an experiment) — it divides by n−1 to correct the bias. Use population when you have every value there is. The tool shows both so you can pick correctly.
What standard deviation tells you
It is the typical distance from the mean. A small SD means the numbers cluster tightly; a large one means they spread out — the key number behind "margin of error" and quality control.
Frequently Asked Questions
Sample or population variance — which do I need?
Sample (÷ n−1) for data you collected as a subset; population (÷ n) when you have all values. Most school and research work uses sample.
Mean vs median — which is "average"?
Mean is the arithmetic average; median is the middle value. Median resists outliers — house prices use median because a few mansions skew the mean.
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