Top 30%
What IQ is the top 30 percent?
The 70th percentile on the bell curve, on three common scales, with what a score at that line means.
Short answer
The top 30% of IQ scores starts at about 108 on the standard scale (mean 100, standard deviation 15); the exact cut is 107.9. That is the 70th percentile, about 1 in 3 people. On a scale with standard deviation 16 the cut is about 108, and on the SD 24 Cattell scale about 113.
Specimen · Top 30%
30%Top
- Cut at
- IQ 107.9
- Classification
- Average
- z-score
- +0.52
Want your own number? The test is 25 visual puzzles, about 12 minutes, no sign-up.
| Scale | IQ at the 70th percentile |
|---|---|
| Standard deviation 15 (Wechsler, SB5) | 107.9 |
| Standard deviation 16 (older Stanford-Binet) | 108.4 |
| Standard deviation 24 (Cattell Culture Fair III) | 112.6 |
How the cut is calculated
IQ scores are standardized to a normal curve with mean 100 (Wikipedia: Intelligence quotient). To find the score at a percentile, take the z score that leaves 30% of the curve above it, multiply by the scale's standard deviation and add 100. For the 70th percentile the z score is 0.524, so the cut is 107.9 on SD 15. Older Stanford-Binet forms used SD 16 and the Cattell Culture Fair III scale uses SD 24 (Wikipedia: IQ classification), which is why the same percentile reads as 108.4 and 112.6 there. The percentile to IQ converter does this for any percentile.
What a score at the top 30% line means
A score of 108 is labeled Average on the WAIS-IV scale (Wikipedia: IQ classification). It is inside the 85 to 115 range where about 68% of people score (the 68-95-99.7 rule), so the top 30% is above the middle but still part of the typical range.
In a group of 30 people the same age, about 9 would be expected to score at or above 108. Percentiles near the middle of the curve are close together in points: a few IQ points can move you several percentiles, while out in the tails the same few points barely move the percentile at all.
A percentile is not a percentage of questions
The 70th percentile means scoring higher than 70% of people the same age, not answering that share of questions correctly. See whether an IQ score is a percentage for the difference.
Neighboring percentiles
| Percentile | IQ (SD 15) | Gap from 108 |
|---|---|---|
| Top 25% | 110.1 | +2.3 |
| Top 40% | 103.8 | -4.1 |
See the score itself on IQ 108, every cut on the IQ by percentile page, or any score on the IQ score chart.
Sources
- Intelligence quotient. Wikipedia. en.wikipedia.org/wiki/Intelligence_quotient
- IQ classification. Wikipedia. en.wikipedia.org/wiki/IQ_classification
- 68-95-99.7 rule. Wikipedia. en.wikipedia.org/wiki/68%E2%80%9395%E2%80%9399.7_rule