Percentile to IQ Converter

The 90th percentile is an IQ of about 119. The 98th is about 131, and the 99th about 135. Enter any percentile for its IQ, or switch direction to go back.

Enter 0.01 to 99.99. For the 99th percentile, type 99.

IQ at the 99.0th percentile (SD 15)

135Very superior

The 99.0th percentile is an IQ of about 135 on a scale with a standard deviation of 15. Unrounded, it is 134.9.

+2.33
Z-score
Top 1%
Share scoring this high or higher

IQ 135: what it means. For rarity as "1 in N", see how rare is my IQ.

What IQ is each percentile?

The answer for the percentiles people ask about most. Computed from the normal curve with an average of 100.

Percentile to IQ, rounded to the nearest whole number
PercentileIQ (SD 15)IQ (SD 16)Share this high
50th100100Top 50%
75th110111Top 25%
80th113113Top 20%
90.0th119121Top 10%
95.0th125126Top 5%
98.0th131133Top 2%
99.0th135137Top 1%
99.90th146149Top 0.1%

To go from a score to its exact percentile and z-score, use the IQ percentile calculator.

How a percentile becomes an IQ

A percentile is the share of a comparison group that scored below you. IQ scores are built to follow a bell curve with an average of 100, so each percentile has one matching score.

The steps run in reverse of the usual calculation. Find the z-score that has your percentile of the curve below it. Then multiply by the standard deviation and add 100. The 99th percentile has a z-score of +2.33, so the IQ is 100 + 2.33 × 15 = 135 on SD 15, and 100 + 2.33 × 16 = 137 on SD 16.

The Wechsler tests use SD 15. The older Stanford-Binet used SD 16 and the Cattell scale used SD 24. Always check which scale a score is on before you convert. The Mensa IQ requirement page shows the same cut-off on each one.

One caution. A percentile from a published test comes from that test's own norm sample, and a percentile quoted by an online test is only as good as its norms. The converter gives the IQ on a smooth theoretical curve. Use it to translate between scales and to sense-check a report, not to overrule one.

Frequently asked questions

What IQ is the 99th percentile?

About 135 on the standard scale (SD 15), and about 137 on the Stanford-Binet scale (SD 16). It is the top 1% of people.

What IQ is the 90th percentile?

About 119 on SD 15 and 121 on SD 16. The 90th percentile means you scored higher than 90% of people, so you are in the top 10%.

What IQ is the 98th percentile?

About 131 on SD 15 and 133 on SD 16. This is the top 2%, the line Mensa uses. An IQ of exactly 130 is the 97.7th percentile, just under it.

What IQ is the 50th percentile?

Exactly 100 on every scale. The average is the 50th percentile by design.

What IQ is the 95th percentile?

About 125 on SD 15 and 126 on SD 16. The 95th percentile is the top 5% of people.

What is the difference between SD 15 and SD 16?

Both scales have an average of 100. They differ in how spread out the scores are. Wechsler tests use a standard deviation of 15 and the older Stanford-Binet used 16, so the same percentile is a slightly higher number on SD 16 once you are above average.

What is a z-score?

A z-score is how many standard deviations a score is from the average. An IQ of 115 has a z-score of +1.0 on SD 15. The z-score is the same on every scale, which is why it is the safe way to compare tests.

Is a percentile the same as a percentage?

No. A percentile is a rank. The 90th percentile means you scored higher than 90% of the comparison group. It does not mean you got 90% of the questions right.

Why is the result a whole number?

IQ scores are reported as whole numbers, so the converter rounds. The 98th percentile is about 130.8 on SD 15, which rounds to 131.

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