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Enter a set of numbers to quickly calculate the arithmetic mean, sum, and count.
Supports separation by commas, spaces, semicolons, or newlines. Whitespace and non-numeric content will be ignored automatically. (Simply enter the numbers you want to average.)
Overview
Understand what the tool solves, how it works, and the boundaries of its data.
For an ordinary list of numbers, “average” usually means the arithmetic mean: add the values and divide by how many values there are. This calculator updates as you type and reports the mean, sum, count, median, minimum, maximum, range, and population standard deviation.
For 2, 4, 6, 8, the sum is 20 and the count is 4, so the mean is 5. The median is also 5, and the range is 8 − 2 = 6. NIST describes the mean as a measure of location; when values are skewed or include extremes, the median can give useful additional context.
The median is the middle value after sorting; with an even count, it is the average of the two middle values. The range is maximum minus minimum. The standard deviation summarizes spread around the mean; this page uses the population version, dividing the squared deviations by n before taking the square root.
Guide
Follow the workflow and verify inputs and outputs with practical examples.
Gather comparable values, such as daily expenses in dollars or scores on the same scale.
Separate values with commas, spaces, semicolons, tabs, or line breaks. A copied spreadsheet column can be pasted directly.
Compare count and sum with the source list, then read the mean and supporting statistics. Results update when the input changes.
For 8, 9, 10, 73, the mean is 25 while the median is 9.5. The gap shows how one high value can pull the mean upward, so examine the original values when the summary seems surprising.
Use cases
See how the tool fits into real work and everyday tasks.
Enter course scores on the same scale and compare mean with median. If they differ, inspect the values and range before describing the group by one number.
Paste daily steps, household usage, or expenses in one unit. The mean gives a simple overall level; the range helps show how much the days varied.
Use mean and population standard deviation to summarize one recorded batch, then review individual readings if the spread is unexpected.
Q&A
Find concise answers to common questions and confusing cases.
Yes. Zero contributes to both the sum and count. Empty separators do not count as values.
Yes. Finite numeric values such as -3.5, 0, 8.25 are included in the calculation.
Items that do not parse as finite numbers are skipped. Check the reported count; for example, 2, abc, 4 is calculated using two values.
No. It is the population standard deviation for the values entered, using n in the variance calculation. A sample standard deviation uses n−1 and will differ.
Notes
Review scope, result limitations, and important precautions before use.
Displayed statistics are rounded to six decimal places. All values should use the same unit and represent comparable quantities. An arithmetic mean is sensitive to extreme values, and this calculator does not compute a weighted mean, confidence interval, or significance test. It summarizes the numbers supplied; it does not establish that they represent a larger population.
Related
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