IQ 113
Is 113 a good IQ? What it means
113 sits in the middle of the High Average band. Here is where that puts you on the curve, how common it is, and what the score does and does not predict.
Short answer
An IQ of 113 is above average. It is higher than about 80.7% of people, which puts it at the 80.7 percentile. About 1 in 5 people score 113 or higher, and the WAIS-IV labels it High Average (110 to 119). It is 0.87 standard deviations above the mean of 100.
Specimen · IQ 113
113IQ
- Classification
- High Average
- Percentile
- 80.7
- Rarity
- 1 in 5
- z-score
- +0.87
Curious where you would land? IQ Octopus estimates your IQ from 25 visual puzzles in about 12 minutes.
| Percentile | 80.7 |
| Share scoring 113 or higher | 19.3% (about 1 in 5) |
| Out of 1,000 people | about 193 at or above |
| Standard deviations from the mean (z) | +0.87 |
| WAIS-IV classification | High Average (110 to 119) |
| Same percentile, SD 16 scale | 114 |
| Same percentile, SD 24 scale | 121 |
What an IQ of 113 means on the scale
Modern IQ tests report a deviation IQ: scores are standardized so the mean is 100 and the standard deviation is 15 within each age group (Wikipedia: Intelligence quotient). On that scale 113 is 0.87 standard deviations above the mean. It sits inside the 85 to 115 range, where about 68% of people score. (the 68-95-99.7 rule)
In a room of 30 people your age, about 6 would be expected to score 113 or higher. Put another way, about 81 out of every 100 people score below 113.
The High Average band: 110 to 119
High Average covers 110 to 119 (Wikipedia: IQ classification). It is the first band above Average and holds about 16.6% of people. The name says what it is: above the middle, but still within reach of the typical range.
The band straddles the edge of that typical range. About 68% of people score between 85 and 115, one standard deviation either side of the mean (the 68-95-99.7 rule), so 110 to 115 sit inside it and 116 to 119 sit just outside. 113 is on the inside, near the top of where most people land.
Where 113 sits inside the band
113 is 3 points above the floor of the High Average band (110) and 6 points below its ceiling (119). Of the people who score in this band, about 37% score below 113.
Clinical IQ scores carry measurement error of around plus or minus 5 points at 95% (Wechsler, 2008). A measured 113 is consistent with a true score anywhere from 108 to 118, which is the 70.3 to 88.5 percentile. That range spans two labels, Average and High Average, so the band name is the least certain part of the result. A short online test has a wider range than a clinical one, so read any single number as the middle of a span.
What an IQ of 113 does and does not predict
A score here suggests reasoning a step above the typical person your age on puzzles like these. It is a description of one test session, and effort, knowledge and experience matter at least as much in daily life.
Across large groups, the links are real. General intelligence at age 11 correlated 0.81 with exam results at 16 in about 70,000 English children (Deary, Strand, Smith & Fernandes, 2007), a review of 85 years of workplace research put the link with job performance at 0.51 (Schmidt & Hunter, 1998), and a 2007 meta-analysis found correlations of about 0.56 with education and 0.23 with income (Strenze, 2007). Those describe tendencies across many people. None of them let anyone predict an individual life from one number. The guide to what IQ predicts explains what a correlation of that size means.
Same score, different tests
Older Stanford-Binet forms used a standard deviation of 16, and the Cattell Culture Fair III scale uses 24 (Wikipedia: IQ classification). The same percentile as 113 on a standard-deviation-15 test reads as about 114 on the first and 121 on the second, so check which scale a number is on before comparing scores from different tests.
Nearby scores
| IQ | Percentile | Rarity | Classification |
|---|---|---|---|
| IQ 100 | 50 | 1 in 2 | Average |
| IQ 105 | 63.1 | 1 in 3 | Average |
| IQ 110 | 74.8 | 1 in 4 | High Average |
| IQ 111 | 76.8 | 1 in 4 | High Average |
| IQ 112 | 78.8 | 1 in 5 | High Average |
| IQ 114 | 82.5 | 1 in 6 | High Average |
| IQ 115 | 84.1 | 1 in 6 | High Average |
| IQ 116 | 85.7 | 1 in 7 | High Average |
| IQ 120 | 90.9 | 1 in 11 | Superior |
| IQ 125 | 95.2 | 1 in 21 | Superior |
IQ 112 · IQ 114 · every score on the IQ chart · IQ percentile calculator · the seven classification bands
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
- Wechsler, D. (2008). WAIS-IV Technical and Interpretive Manual. Pearson.
- Deary, I. J., Strand, S., Smith, P., & Fernandes, C. (2007). Intelligence, 35(1), 13-21. doi.org/10.1016/j.intell.2006.02.001
- Schmidt, F. L., & Hunter, J. E. (1998). Psychological Bulletin, 124(2), 262-274. doi.org/10.1037/0033-2909.124.2.262
- Strenze, T. (2007). Intelligence, 35(5), 401-426. doi.org/10.1016/j.intell.2006.09.004