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How rare is an IQ of 113?

An IQ of 113 is at the Above average level (Top ~25%). IQ follows a normal distribution with a mean of 100 and a standard deviation of 15, and an IQ of 113 sits as follows.

Deviation score

58.7

Top

19.31%

Rarity

1 in 5

z-score

0.87

Position in the IQ distribution (mean 100, SD 15)

557085100115130145

Measurement error: the realistic range of an IQ of 113

IQ scores always carry measurement error: the same person can score a few points higher or lower on a different day. A result of 113 is therefore best read not as an exact value but as somewhere around IQ 108118 (±5). Under the normal-distribution model (mean 100, SD 15), that range corresponds to roughly the top 29.69% to the top 11.51% of the population.

Does 5 points matter? IQ 108 / 113 / 118 compared

IQTop %Rarity
IQ10829.69%1 in 3
IQ113this page19.31%1 in 5
IQ11811.51%1 in 9

A 5-point gap is within the typical measurement error of an IQ test: two people 5 points apart could easily swap places on a retest. Small differences between nearby scores should not be over-interpreted.

Characteristics and tendencies of an IQ of 113

The following are general tendencies seen at this level; individual differences apply. IQ measures one aspect of thinking, such as fluid reasoning.

  • Above average. A tendency to acquire new knowledge and procedures relatively quickly.
  • Typically handles standard tasks reliably.

Relationship to Mensa

Mensa's admission criterion is "the top 2% (roughly IQ 130 or above)." An IQ of 113 does not reach this criterion. Actual membership requires taking an approved supervised test.

Note: Most celebrity IQ figures seen online are estimates from unreliable sources. This page does not publish individual IQ values that cannot be verified.

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Frequently asked questions

What percentile is an IQ of 113?
An IQ of 113 corresponds to roughly the top 19.31%, or about 1 in 5 people.
Is an IQ of 113 high? Is it impressive?
It is at the Above average level (Top ~25%), placing it in roughly the top 19.31%. That said, IQ measures only a small part of thinking and does not determine a person's worth or success.
Can you join Mensa with an IQ of 113?
Mensa's admission criterion is "the top 2% (roughly IQ 130 or above)." An IQ of 113 does not reach the threshold (IQ 130).
What is the deviation score for an IQ of 113?
Converting IQ (mean 100, SD 15) to a deviation score gives about 58.7.

Common questions in the IQ 110–119 band

Is an IQ of 113 good enough to be proud of?
An IQ of 113 is above roughly 81% of people — clearly above average. It is a solid result, though a 5-point retest swing is normal, so treat it as "comfortably above the middle" rather than a precise rank.
Does an IQ in the 110s help with studying or work?
On average, scores in this range correlate with faster learning of new material. But the correlation is loose: study habits, domain knowledge, and persistence typically matter more for real outcomes than a 10-point IQ difference.
How big is the gap between 113 and 120?
7 points. An IQ of 120 is around the top 9.12%, versus the top 19.31% at 113. Because that gap is within or near the test's error margin, the two levels are hard to distinguish reliably from a single sitting.

Age and testing conditions

  • IQ is a deviation score relative to people of the same age: a score compares you with your own age group, so children's and adults' scores are not on the same footing.
  • Results from informal online tests, including the test on this site, are estimates. For medical or educational decisions, use a standardized test administered by a qualified professional.
  • Sleep deprivation, fatigue, and practice effects all move measured scores. Read any single result, high or low, with that in mind.

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