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— IQ Score Explained

What does an IQ of 145 mean?

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Band
Profoundly Gifted
Percentile
99.87%
Population
Top 0.13%
SD above mean
+3.0

An IQ of 145 sits three full standard deviations above the population mean of 100 — the top 0.13% of the population, or roughly 1 in 750 adults. This is the conventional cutoff for the Profoundly Gifted band and the entry threshold for high-IQ societies like the Triple Nine Society and the upper tiers of the Prometheus and Mega Societies.

At this level, cognitive performance is qualitatively different from average — fast enough and abstract enough that conventional testing instruments start running out of headroom.

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What 145 actually represents

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Three SDs above the mean translates to:

This range is genuinely rare. In a typical large city of one million adults, roughly 1,300 would test at 145 or above. Most will go through life without ever meeting more than a handful of cognitive peers in person.

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Where 145 sits in the distribution

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The measurement ceiling problem

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Above ~145, most online tests can no longer reliably distinguish scores. The number of test-takers in the calibration sample at that height is too small to anchor difficulty parameters accurately, and the test itself rarely includes items hard enough to discriminate at that level.

Core Brain's Genius tier includes IRT-calibrated items targeting θ values up to +3 SD, so a real 145 score can actually be resolved against the prior rather than being clipped at the test ceiling. The reported 95% confidence interval widens at extreme scores — which is honest rather than misleading.

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Frequently asked

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How rare is an IQ of 145?

About 1 in 750 people. In a city of 100,000 adults, roughly 130 would test at 145 or above.

Is 145 a Mensa score?

Yes — it is significantly above the Mensa cutoff (130, or the 98th percentile). 145 also qualifies for the Triple Nine Society (99.9th percentile).

Can a 20-minute online test really measure 145?

With proper IRT calibration and high-ceiling items, yes — within wider confidence bounds than at average ranges. The estimate becomes less precise the further you move from the population mean, simply because fewer calibration data points exist at the extremes. Core Brain reports a 95% confidence interval so you can see exactly how wide your uncertainty band is.

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