Everyday math

Statistics calculator

Summarize a list of numbers with count, sum, mean, median, minimum, maximum, range, and mode.

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Statistics calculator guide

What does this calculator help you figure out?

Paste or type a list of numbers and this calculator returns the descriptive summary you would otherwise build in a spreadsheet: count, sum, mean, median, minimum, maximum, range, and mode. Values can be separated by commas, spaces, semicolons, or new lines, so a column copied from a sheet works directly, and up to 1,000 values are read. The mean is the headline figure; the median is the middle value after sorting (or the average of the two middle values for an even count); the range is maximum minus minimum; and the mode lists every value that appears most often, or “none” when nothing repeats. Unlike the average calculator, zeros are kept as real data points. The summary describes the numbers you entered and nothing more: it does not estimate standard deviation, test hypotheses, or forecast, so use it to understand a data set rather than to draw inferences from it.

How is the result calculated?

Mean = sum ÷ count. Median = middle sorted value (or mean of the two middle values). Range = maximum − minimum. Mode = most frequent value(s), or none if all are unique.

Worked example

Worked example with the default input 1, 2, 3, 4, 5. Count = 5. Sum = 1 + 2 + 3 + 4 + 5 = 15. Mean = 15 ÷ 5 = 3, which is the primary figure displayed. Sorted, the middle (third) value is 3, so the median = 3. Minimum = 1, maximum = 5, and range = 5 − 1 = 4. Every value appears exactly once, so the mode row reads “none”. Change the input to 1, 2, 2, 3, 4, 5 and the count becomes 6, the mean 17 ÷ 6 = 2.83, the median (2 + 3) ÷ 2 = 2.5, and the mode 2.

Units and conversion notes

Numbers are unitless; whatever unit you have in mind (dollars, seconds, kilograms) applies to the sum, mean, median, minimum, maximum, and range alike. Decimals use a period, negatives are allowed, and any token that is not a valid number is skipped rather than treated as zero. Results display to two decimal places by default.

What does the result mean?

The result follows directly from the numbers you entered, so its accuracy is the accuracy of those inputs. The most common source of a surprising answer is a mismatch between the question you meant to ask and the one the calculator answered, so re-read the field labels if the figure looks wrong. The formula is shown above so you can check the arithmetic yourself. On this page the figure rests entirely on numbers, so start there if the statistics calculator returns something you did not expect.

Common mistakes to avoid

Good to know: a thousands separator inside a number splits it into two values, so type 1200 rather than 1,200. Percentages should be entered as numbers (15, not 15%). The mode is reported only when a value repeats; with continuous measurements it is usually “none”, which is expected. A single extreme value shifts the mean and range but leaves the median almost untouched, so compare the two before quoting one.

Results are planning estimates. Check the units, product coverage, carrier rules, or local rates before making a purchase or financial decision.

How it works

The method behind the number.

Summarize a list of numbers with count, sum, mean, median, minimum, maximum, range, and mode. This tool explains the calculation so you can adjust the assumptions to match your situation.

Mean = sum ÷ count. Median = middle sorted value (or mean of the two middle values). Range = maximum − minimum. Mode = most frequent value(s), or none if all are unique.

Worked example

Reproduce the current result.

With → 3 (descriptive statistics summary). Change an input above and this example updates with your numbers.

Count
5
Sum
15
Mean
3
Median
3
Minimum
1
Maximum
5

Common questions

Frequently asked questions

What are the mean, median, and mode of 1, 2, 3, 4, 5?

Mean 3 (sum 15 divided by 5), median 3 (the middle sorted value), and no mode because each number appears exactly once. The range is 5 − 1 = 4, and the calculator shows all of these rows from the default input.

How do I find the median of an even number of values?

Sort the values and average the two in the middle. For 1, 2, 2, 3, 4, 5 the middle pair is 2 and 3, so the median is (2 + 3) ÷ 2 = 2.5.

What does the statistics calculator accept as input?

Any mix of numbers separated by commas, spaces, semicolons, or line breaks, up to 1,000 values. A column pasted from a spreadsheet works directly. Text that is not a number is ignored.

Does the statistics calculator show standard deviation?

No. It reports count, sum, mean, median, minimum, maximum, range, and mode. These describe the spread and centre of the data but do not measure dispersion around the mean the way standard deviation does.

What does it mean when the mode says none?

No value appears more than once. The mode is only defined when at least one number repeats; for a set of unique measurements the calculator reports “none” rather than picking an arbitrary value.

When should I use the median instead of the mean?

When a few extreme values would distort the mean, such as incomes or house prices. For 10, 20, 30, 40, 500 the mean is 120 but the median is 30, which better represents a typical value.

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