What does an IQ of 113 mean?
Above the average on the reference scale, at approximately percentile 80.69.
- IQ score
- 113
- Percentile
- 80.69
- At or above
- 19.31%
Normal reference · mean 100 · SD 15. These are calculated values, not observed starp population ranks.
Where 113 sits on the IQ scale
A score of 113 is 13 points above the mean. Dividing by the standard deviation gives (113 − 100) ÷ 15 = 0.87. The normal cumulative distribution converts that standardized position into percentile 80.69.
This lies in the upper half of the central 85–115 interval. It is above the scale mean, but the total alone does not identify a particular strength in memory, numbers or spatial reasoning.
How common is a score of 113?
Approximately 19.31% of this model lies at or above 113—about 1 in 5. This is a cumulative share, not the chance of scoring exactly 113. A continuous model does not assign a positive probability to one exact value.
Compared with IQ 100, the reference percentile is 30.69 percentage points higher. Equal IQ-point gaps do not create equal percentile gaps: the middle of the bell curve contains more area than its ends.
Compare nearby scores
Compare 108 and 113 or calculate 113 on another scale. A small difference between test results is not automatically a meaningful change.
How this relates to starp
starp's current scoring map does not produce exactly 113. Its neighboring results are 109 for 24 correct answers and 115 for 25 correct answers out of 30. This guide explains the conventional scale value 113; it does not invent an intermediate starp result.
See the scoring method and how raw scores differ from IQ estimates.
Questions about IQ 113
Is 113 a good IQ score?
113 is above the reference mean of 100. It is a higher score on that scale, but a number alone cannot establish a specific skill profile or predict success.
What percentile is an IQ of 113?
On a normal scale with mean 100 and standard deviation 15, 113 corresponds to approximately percentile 80.69. Around 19.31% of that model lies at or above it. Use an assessment's own norms for an actual reported rank.
Does an IQ of 113 mean 113% correct?
No. IQ is a scaled score. Percentage correct depends on the questions and scoring rules; percentile describes a relative position. These three quantities are not interchangeable.
Method: NIST's normal-distribution formula. Percentiles here are calculated reference values, not observed starp population ranks. About starp scoring.