Statistics Calculator
Paste or type a list of numbers. Get mean, median, mode, range, variance, standard deviation, quartiles, and IQR.
6 numbers parsed
Spread
Distribution
How to use
- 1
Paste or type your numbers, separated by commas or spaces.
- 2
Choose sample (use n−1, typical for a sample of a larger population) or population (use n, when you have all the data).
- 3
Results update in real time as you edit the list.
Frequently asked questions
Sample variance divides by n−1 (Bessel's correction) and gives an unbiased estimate of the variance of the larger population the sample is drawn from. Population variance divides by n and is correct only if your data covers the entire population. Default to sample unless you genuinely have every data point.
If every value appears exactly once, there is no mode. The calculator returns an empty mode list. If multiple values are tied for the highest frequency, all are returned as modes.
Using linear interpolation on the sorted values (the same method as Python's statistics.quantiles). Q1 is the 25th percentile, Q3 is the 75th, and IQR is Q3 − Q1. For small datasets, some textbooks use different rules (Tukey's hinges) — results may differ slightly.
Standard deviation measures how spread out the values are around the mean. A low SD means data clusters tightly around the average; a high SD means it's dispersed. About 68% of normally-distributed data falls within one SD of the mean, 95% within two.
Help us improve this calculator
What's missing or wrong? What would make this more useful for you? Every suggestion lands in our inbox.
Related tools
Source: Standard descriptive-statistics formulas · Last verified 2026-06. This tool provides estimates only and is not legal, tax or financial advice. Always verify your specific situation with the relevant UAE authority or a licensed advisor before taking action.