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Statistics Calculator
Calculate the mean, median, variance, standard deviation, and more for a set of numbers.
Overview
- Calculates basic statistics from a set of numbers.
- In addition to count, sum, mean, median, min, and max, it shows variance and standard deviation calculated both as a population (when the data is the entire group) and as a sample (when the data is a subset drawn from a population).
Usage
- Enter the numbers you want to calculate into "Numbers (two or more)", separated by commas or newlines.
- Click "Calculate" to see the various statistics.
Example
Input
2, 4, 4, 4, 5, 5, 7, 9
Output
Mean: 5, Median: 4.5, Population std dev: 2
Use Cases
- Checking the average, median, and spread (standard deviation) from a list of test scores
- Summarizing the distribution of experimental data or survey results for a statistics class or report
- Comparing both results when unsure whether to use the population or sample formula
FAQ
What is the difference between population and sample variance/standard deviation?
Population variance is used when the entered numbers are the entire group of interest (divided by n). Sample variance is used when the entered numbers are a subset drawn from a larger population, dividing by n-1 to keep the estimate unbiased. If you're unsure which to use, decide based on whether your data represents the "whole" or just "part" of it.
How is the median calculated?
After sorting the numbers in ascending order, the median is the middle value if the count is odd, or the average of the two middle values if the count is even.
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