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RMS Calculator

Find the root mean square of observations by squaring, averaging and taking the square root. Negative signs disappear when squared.

Enter your values

Separate numbers with spaces or semicolons; use a decimal point.
Example result
Result
5.38516481

The initial result uses the example values. Enter your own values and calculate again.

Edit inputs

How it works

Find the root mean square of observations by squaring, averaging and taking the square root. Negative signs disappear when squared.

Inputs and units
RMS Calculator · Inputs and units
InputExample valueWhat to enter
Numbers2 4 4 4 5 5 7 9Separate numbers with spaces or semicolons; use a decimal point.
RMS = √[Σx²/n]

Worked example

Show example inputs and results

This example is generated by the same calculation engine using the starting values in the form. Your own inputs produce your own result.

Numbers
2 4 4 4 5 5 7 9

Complete example results

Result
5.38516481

Reading the result

Keep the list to one kind of measurement. Outliers can affect the mean; sample and population formulas use different denominators. The tool applies its stated method and does not establish the quality of your data.

Questions and answers

Can I use the example values for my own calculation?

The example values illustrate the calculation. Replace every input with your own information, especially dates, rates and the selected operation.

Why are some results rounded?

Results display up to 8 decimal places. Calculations use the unrounded values; very small values use scientific notation. JavaScript floating-point arithmetic can introduce tiny rounding differences.

Are my inputs sent to a server?

The calculator processes inputs in your browser. Its code does not send your values to a server.

Methods & accuracy

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