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Quick guide

What This Calculator Does

Paste a number list to see its count, sum, mean, median, modes, minimum, maximum and range. The mean summarizes the overall level, the median gives the middle sorted position, and modes identify the most frequently repeated values. Each answers a different question.

When to Use It

Use it for observations in the same unit, scores or quantities. Continue to the standard deviation calculator to measure spread. Use weighted grades for course components with different weights; this page gives every observation equal weight.

Inputs Explained

Separate values with commas, spaces, semicolons or new lines. Use a decimal point: 1,5 means two values rather than 1.5. Negative numbers, zero and exponent notation such as 1e3 are accepted. Limits are 10,000 values, 200,000 characters and an absolute magnitude of 1e100 per value.

Unit suffixes, thousands grouping, missing-value labels and expressions are rejected. Invalid observations are not silently removed. Inputs remain in the current page state.

How the Calculation Works

Sum adds every observation; mean divides that sum by the count. Compensated summation reduces cancellation when large positive and negative values offset each other, within floating-point limits.

Median sorts the numbers. For an odd count it uses the middle observation; for an even count it averages the two middle observations. All repeated values tied for the highest frequency are modes, in numeric order. This page reports no mode when every value occurs once; it does not estimate a continuous density peak.

Read the full guide

Frequently Asked Questions

What if several values have the same highest frequency?

All repeated values tied for highest frequency are modes. If every value occurs once, this calculator reports no mode.

How is the median calculated?

Sort the values. Use the middle value for an odd count, or the mean of the two middle values for an even count.

Can I enter decimal commas or missing values?

Use a dot for decimals. Commas separate values; missing-value labels and expressions are rejected.

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Mean, Median and Mode Calculator

Summarize a list without assuming a probability distribution.

Your inputs

Separate values with commas, spaces, semicolons or new lines. Dot decimals and exponent notation; up to 10,000 values.

Every observation has equal weight; repeated values are kept.

Your result

Enter your values and calculate to see the result.

Range = maximum − minimum. Tied repeated values are all modes; a list of distinct values has no mode. Results use floating-point numbers, displayed to eight decimal places; no quartiles or inference.