Full summary
The formula
How it works
Get a full statistical summary of a list of numbers at once: count, sum, mean, median, mode, range, variance and standard deviation. Type or paste your data and read off every headline figure.
FAQ
What’s the difference between mean, median and mode?
The mean is the average, the median is the middle value when sorted, and the mode is the most common value. Together they describe the “centre” of your data from three angles, and they can differ a lot when the data is skewed.
Why show both variance and standard deviation?
They measure the same spread; the standard deviation is the square root of the variance. Variance is handy for further calculations, while the standard deviation is in the same units as your data and easier to interpret.
What does it mean if there is more than one mode?
If two or more values tie for the highest frequency, the data set is called multimodal and all of the tied values are listed as modes. If every value appears only once, there is no meaningful mode at all.
Why is the range less useful than the standard deviation?
The range only looks at the two most extreme values, so a single unusually high or low entry can make it misleading. Standard deviation takes every value into account, giving a more complete picture of the typical spread.
Can I paste data with text or blank entries mixed in?
Yes — the calculator ignores anything that is not a valid number, so headers, units or stray words in pasted spreadsheet data will not break the calculation.
Why do the mean and median sometimes differ a lot?
They diverge when the data is skewed by a few very large or very small values, since the mean is pulled toward those extremes while the median stays near the middle. When they differ substantially, the median often gives a better sense of a “typical” value.
Does the order I enter the numbers in matter?
No. Every statistic here — mean, median, mode, range, variance and standard deviation — depends only on which values are present, not the order you type or paste them in.
About the statistics calculator
This calculator produces a complete descriptive summary of a set of numbers in one go. Rather than working out each statistic separately, you paste your data once and get the count, sum, mean, median, mode, minimum, maximum, range, variance and standard deviation together. These are the standard measures that describe where the centre of your data lies and how spread out it is — the starting point of almost any analysis.
How to use it
Type or paste your numbers into the box, separated by commas, spaces or new lines — a whole spreadsheet column works fine. The calculator instantly lists every summary statistic. For example, the numbers 4, 8, 15, 16, 23 and 42 have a mean of 18, a median of 15.5 and a range of 38. Any non-numeric text is ignored, so you can paste messy data without cleaning it up first.
The formula
The mean is and the population standard deviation is . The median is the middle value once the numbers are sorted (the average of the two middle ones if there is an even count), the mode is whichever value appears most often, and the range is simply the largest value minus the smallest. Each one views the same data through a different lens.
Where it is used
A descriptive summary like this is the first step in nearly every field that works with data — science, economics, business, sport and social research. Analysts use it to get a feel for a dataset before deeper testing, teachers use it to summarise class results, and quality teams use it to monitor processes. Seeing the centre and the spread side by side is often enough to spot the story in a set of numbers.