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UNDERSTANDING IQ SCORES

Is 126 a good
IQ score?

Yes. It is a high score. On the standard IQ scale, 126 is at roughly the 96th percentile, about 1 in 24 at or above.

An IQ of 126 sits in the high range, higher than about 95.85% of people on a mean-100, SD-15 scale. This is a theoretical model comparison, not an observed population ranking. Here is what that means, and what it does not.

Reference score
126
Percentile
95.85%
At or above
1 in 24
Reference scale
100 mean / 15 SD

Prepared by IQInsight · Calculation guide · Updated 1 November 2026

What 126 meansHow tests label itThe calculationNearby scoresCommon questions

126 is past the top-5% mark on the reference scale.

126 is 26 points above the mean, a z-score of about 1.73. The model places about 95.85% of values below it and 4.15% at or above it, approximately one in 24. That is just beyond the commonly quoted top-5% line, which falls at about 124.7.

Between 125 and 126 the upper tail shrinks from about 4.78% to 4.15%. As one-in figures, one in 21 against one in 24, the change looks large, but it comes from a single scale point, which is well within the uncertainty of one test result.

How test manuals label 126.

Professional tests describe score ranges with standard labels. On the WAIS-IV, 126 falls in the superior range; the newer WISC-V calls the same range very high. The labels describe ranges on those specific tests and change at fixed boundaries, so a score a point or two from an edge is not meaningfully different from one just across it.

Descriptive classifications used by the WAIS-IV and WISC-V
Score rangeWAIS-IV labelWISC-V label
130 and aboveVery superiorExtremely high
120–129 (126)SuperiorVery high
110–119High averageHigh average
90–109AverageAverage
80–89Low averageLow average
70–79BorderlineVery low
69 and belowExtremely lowExtremely low

High-IQ societies such as Mensa admit people who score at or above the 98th percentile on an approved, supervised test, roughly 130 on an SD-15 scale. Online estimates, including IQInsight’s, do not count toward membership.

How precise is one result?

Every test score contains some measurement error. Professionally normed tests report a confidence interval, a band of several points around the score, and two results a few points apart often overlap. IQInsight has not been calibrated against a representative population, so it cannot provide a reliable interval for its estimates.

How the percentile is calculated.

The reference uses a mean of 100 and a standard deviation of 15. First convert the score to a z-score, then find the area below it on the standard normal curve.

z = (126 − 100) ÷ 15 = 1.7333

Percentile = Φ(z) × 100 ≈ 95.85%

At or above = (1 − Φ(z)) × 100 ≈ 4.15%

Approximate rarity = 1 ÷ (1 − Φ(z)) ≈ 1 in 24

Calculations use full precision before rounding. Φ is the cumulative standard normal distribution; the NIST statistical handbook explains this mathematical function. This reference does not validate IQInsight or any individual test.

High range on the reference scale

95.85%theoretical percentile
1 in 24at this score or higher
126
557085100115130145

Theoretical normal distribution. Mean 100, standard deviation 15. This does not measure your IQ or compare you with IQInsight users.

Put the number in perspective.

In a normal distribution with mean 100 and standard deviation 15, about 4.15% of scores fall at or above 126. That is approximately one in 24. The figure describes the reference model; it is not a count of people we have tested.

The quality of the test matters.

A number alone does not show how accurately it was measured. An established, professionally administered test has supporting evidence and defined interpretation rules. An online exercise without representative norms cannot establish the same conclusions.

Nearby scores on the same scale.

Theoretical percentiles, mean 100 and standard deviation 15
ScoreTheoretical percentileAt or above
12090.88%9.12%
12191.92%8.08%
12494.52%5.48%
12595.22%4.78%
126 (this page)95.85%4.15%
12796.41%3.59%
12896.90%3.10%
13097.72%2.28%
13298.36%1.64%

See all 25 score guides. For values between these guides, use the calculator above or the full IQ chart.

What can you do with a score of 126?

A 126 is a strong result on the reference scale. If you are considering a program with a threshold, check which tests it accepts and at what score, rather than comparing an online estimate with it.

Read how IQInsight handles estimates

A reasoning example to explore.

A score alone cannot tell you how a person thinks through a problem. This published sample illustrates a reasoning method; it is not calibrated to a 126 IQ level and does not predict a score.

Every club member plays chess. Some chess players compete nationally. What can be concluded about whether any club members compete nationally?

  • A. All club members must compete nationally
  • B. At least one club member must compete nationally
  • C. No club members can compete nationally
  • D. It cannot be determined
Reveal the answer and reasoning

Answer: It cannot be determined. National competitors could all be outside the club, or could include club members. Both arrangements satisfy the premises.

Check an alternative: All club members must compete nationally. The national competitors need not include every member of the club.

Try this approach. Try to construct a counterexample before deciding that an overlap is guaranteed.

This is one of our public sample questions. Seeing the solution may make a future attempt more familiar. Explore the sample report to see how answers are explained.

A few things you might be wondering.

Clear answers, before you begin.

Is 126 a gifted IQ?+

Not by the most common thresholds. Gifted programs and high-IQ societies usually look for results around the 98th percentile on approved tests, roughly 130 on an SD-15 scale. 126 is high, but any label depends on the specific program and the tests it accepts.

What percentile is an IQ of 126?+

On a scale with mean 100 and standard deviation 15, 126 is at roughly the 96th percentile: about 4.15% of values are at or above it. Tests with a different standard deviation give a different percentile for the same number.

Is 126 a good IQ score?+

On a theoretical scale with mean 100 and standard deviation 15, 126 is in the high range, higher than about 95.85% of people on a mean-100, SD-15 scale. This is a theoretical model comparison, not an observed population ranking. Whether a particular test result supports that interpretation depends on the quality and standardization of that test.

How rare is an IQ of 126?+

Under that normal-distribution model, about 4.15% of values are at or above 126, approximately 1 in 24. This is a mathematical reference, not observed IQInsight user data.

Does this number describe all of my abilities?+

No. IQ scores do not describe every skill, interest, quality or circumstance. A score on an unstandardized online exercise is especially limited and should not be treated as a diagnosis or a prediction of personal success.

Can I compare scores from different tests?+

Only with care. Tests can differ in norms, scales, questions, administration and reliability. Similar-looking numbers are not necessarily equivalent measurements.

Can I get my result without paying?+

Yes. IQInsight provides your estimated score, theoretical percentile and four-area breakdown for free. The optional report explains the answers in more detail.

Explore your reasoning with a free test.

Explore the questions behind your own result.

Take the free test

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