IQ percentile calculator

Calculate the percentile implied by a normal distribution with the test mean and standard deviation you enter.

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IQ percentile calculator processes your input in this browser. Inputs and results are excluded from analytics. Recent tools save tool names, visit counts and last-visit times. Saved tools store only their names. Draft saving is optional and stays on this device; delete saved text with the draft controls. Loading text from a URL is optional and contacts that server; its URL and your IP address are visible to the server. An optional “Use in” action keeps a handoff in this tab. The next tool removes it on arrival and ignores it if more than a minute has passed.

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Test score

Mean specified by the test

More inputs and assumptions

Standard deviation specified by the test

Answer

…

Calculate the percentile implied by a normal distribution with the test mean and standard deviation you enter.

More results

Precision and calculation record

Decimal places in numeric results and text downloads

Rounding changes displayed numbers, not the calculation. Text, fractions, matrices and CSV schedules keep their own formatting. Automatic keeps up to 12 significant digits, with money shown to cents where applicable.

Saved scenario

Save the current answer, then change an input to compare. This clears when you leave.

Formula and assumptions

This is a mathematical model, not an IQ test or a claim that every test uses mean 100 and standard deviation 15. Use your test manual and its official norm tables where available. Extreme-tail estimates are particularly sensitive to the distribution assumption. No diagnostic or personal ability classification is made.

Automatic precision shows numbers to 12 significant digits. Thousands separators such as 1,000 are accepted; use a dot for decimals.

Scratch calculator

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Updated 2026-09-29

Using IQ percentile calculator

Calculate the percentile implied by a normal distribution with the test mean and standard deviation you enter.

Next: Normal distribution calculator

Next: Z score calculator

A worked example

For test score = 115, mean specified by the test = 100, standard deviation specified by the test = 15, modeled percentile = 84.134475.

Before you use the result

Example results for test score

These examples use Mean specified by the test: 100; Standard deviation specified by the test: 15. They are reference calculations, not recommended settings.

Test score	Modeled percentile
57.5	0.230327
115	84.134475
230	100

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ToolOctopus. “IQ percentile calculator.” Updated 2026-09-29. https://tooloctopus.com/iq-percentile-calculator.

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