Statistics Calculator – Solve Common Statistics Problems
A quick statistical summary of a dataset: mean, median, quartiles, SD and more.
About the Statistics Calculator
What is the Statistics Calculator?
A statistics calculator gives a five-second summary of a dataset: center, spread, quartiles and skewness.
Why use this calculator?
Exploring new data always starts with a summary — knowing the shape in one glance guides whether the mean is trustworthy and what to plot next.
How to use it
- Enter numbers separated by commas.
- Read the full summary statistics.
Formula
Standard descriptive statistics with linear interpolation for quartiles.
Skewness uses the Pearson median-based measure (works even with outliers).
Frequently Asked Questions
What is the IQR used for?
Box plots and outlier rules (like 1.5×IQR fences) rely on the interquartile range.
What does skewness tell me?
Positive skew: a long right tail dragging the mean up. Negative skew: the opposite. Near zero: roughly symmetric.
What order of operations does this use?
It follows standard PEMDAS/BODMAS rules: parentheses, exponents, multiplication and division, then addition and subtraction.
How precise are the answers?
The calculator uses double-precision floating-point math (about 15 significant digits) and rounds the display. For exact symbolic results use dedicated algebra software.
Can I enter negative numbers or decimals?
Yes. Negative values, decimals and very large or small numbers are all supported unless a field says otherwise.
What does it mean if I get an error?
Errors usually mean an invalid input, such as division by zero or a negative value where only positives make sense. Check your entries and try again.
What is the difference between population and sample?
A population includes every member of a group; a sample is a subset. Sample statistics use n−1 in the denominator to correct for bias.
When should I use median instead of mean?
Use the median when data contains outliers or is skewed, because it is less affected by extreme values than the mean.
What does standard deviation tell me?
It measures how spread out the values are around the mean. A small standard deviation means the data clusters tightly; a large one means it is more scattered.
Is this calculator free to use?
Yes. Every calculator on this site is completely free, with no hidden fees, no subscriptions and no limits on how many times you can use it.