IQ Scores

IQ Score Ranges Explained: Chart, Percentiles & Famous IQs

A visual guide to what each IQ score actually means — with a percentile chart, the official ranges, and the estimated IQs of history's most famous minds.

Updated May 2026 · 8 min read

The IQ scale at a glance

IQ scores are designed so that the average is exactly 100, with a standard deviation of 15. That means most people cluster near the middle, and the very high and very low ends are rare. Here's how the population actually distributes:

13.6%
68.2%
13.6%
557085100115130145+
Below 70 · Significantly below average
~2.2% of people
70–84 · Below average
~13.6% of people
85–114 · Average
~68.2% of people
115–129 · Above average
~13.6% of people
130–144 · Gifted
~2.1% of people
145+ · Highly gifted / genius
~0.3% of people

Chart based on a normal distribution with mean 100 and standard deviation 15 — the standard scoring used by tests like the WAIS-IV and Stanford–Binet.

What each range means

Below 70 — significantly below average (~2%)

This range is used in clinical contexts to identify intellectual disability, but only alongside a full assessment of adaptive functioning. A score alone never tells the whole story.

70–84 — below average (~14%)

Often called "borderline." People in this range can live fully independent lives but may find timed academic tasks more challenging. Most are within the normal range for everyday function.

85–114 — average (~68%)

The vast majority of the population sits here. Within this band there's enormous variation in how people think, work and succeed — IQ predicts only part of life outcomes. Personality, effort, opportunity and emotional skills matter at least as much.

115–129 — above average (~14%)

Common among people who excel academically and in cognitively demanding professions. A score of 120 puts you roughly in the top 10% of the population.

130–144 — gifted (~2%)

The threshold for most "gifted" programs and for membership in Mensa (the 2nd percentile and above). Most very successful scientists, mathematicians and chess players score in this range.

145+ — highly gifted / genius (~0.3%)

Above 145, scores get statistically noisy because there aren't many people in the sample used to calibrate the test. Differences between, say, a 165 and a 175 score are mostly meaningless. The numbers exist, but their precision does not.

Percentile lookup

If you took an IQ test and got the number below, here's roughly where you'd rank:

IQ scorePercentileRarity
702nd1 in 50
8516th1 in 6
10050th1 in 2
11584th1 in 6
13098th1 in 50
14599.9th1 in 1,000
16099.997th1 in 30,000

High-IQ society thresholds

Mensa entry threshold
IQ 130
Top 2% of the population.
Triple Nine Society
IQ 146
Top 0.1%.
Mega Society
IQ 176
Top 1 in a million (extreme outlier).

Estimated IQs of famous historical figures

Almost every IQ figure attached to a historical person is an estimate, not a measured score. The most-cited research is Catharine Cox's 1926 study, which scored 300 historical geniuses based on their childhood writings and accomplishments. Treat these numbers as folklore with a grain of truth — interesting, not authoritative.

William James Sidis
Child prodigy, attended Harvard at 11. Estimate is highly speculative.
250
Terence Tao
Fields Medalist mathematician — one of the few living figures with a verified high score.
230
Marilyn vos Savant
Held Guinness record for 'highest IQ' before the category was retired.
228
Christopher Hirata
Astrophysicist; took college-level physics at age 12.
225
Kim Ung-yong
Korean prodigy, solved calculus on Japanese television at age 5.
210
Leonardo da Vinci
Estimate based on biographical analysis — never tested.
200
Johann Wolfgang von Goethe
Estimate from Catharine Cox's 1926 study of historical genius.
190
Isaac Newton
Estimate from biographical IQ research.
190
Garry Kasparov
Chess world champion; reported by German magazine Der Spiegel.
190
Bobby Fischer
Tested in school — figure has been disputed across sources.
187
James Woods
Reported, never publicly verified.
184
Albert Einstein
Often cited as 160. Einstein never took an IQ test — this is folklore.
160
Stephen Hawking
Hawking himself dismissed IQ scores; this is a popular estimate, not measured.
160
Quentin Tarantino
Self-reported in interviews.
160
Ashton Kutcher
Self-reported.
160
Sharon Stone
Reported in interviews; not formally documented.
154
Madonna
Widely reported in biographies.
140

Sources: Cox (1926), Mensa records, Guinness World Records archives, biographies and self-reported figures from interviews. Many of these numbers are disputed.

What IQ doesn't tell you

IQ measures some things — reasoning speed, working memory, pattern recognition — and ignores almost everything else that shapes a life. It says nothing about creativity, drive, empathy, judgment, persistence or wisdom. Plenty of people with average IQs achieve extraordinary things; plenty of high-IQ people accomplish very little.

Use it as a snapshot of one slice of cognition, not a verdict on a person.

Find out your own score

The fastest way to see roughly where you land is to take a quick IQ test. Better yet, use the result as a baseline and re-take it in a few months after some consistent brain training to see how the trainable components of cognition shift.

Frequently asked questions

+What is the average IQ?
The average IQ is 100 by definition. IQ tests are calibrated so that the population mean sits at 100 with a standard deviation of 15. About two-thirds of people score between 85 and 115.
+What IQ is considered genius?
There's no official cutoff, but scores above 140 are typically called 'genius level' and represent roughly the top 0.4% of the population. Scores above 160 become statistically rare and harder to measure precisely.
+Are the IQs of historical figures accurate?
No. Almost all historical IQ figures are estimates made decades or centuries after the person lived, based on biographical evidence. They're best treated as rough indicators, not facts. Einstein, for example, never took a modern IQ test.
+What percentile is an IQ of 130?
An IQ of 130 puts you in roughly the top 2% of the population — the 98th percentile. This is the threshold for membership in many high-IQ societies including Mensa.
+Can your IQ score change?
Yes, scores can shift by 10–15 points across your life depending on education, health, sleep and practice with the kinds of tasks IQ tests measure. Big swings are uncommon, but small changes are completely normal.

Put it to the test

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