100 · BY DEFINITION

Average IQ is 100, but only for the people it was set on.

Nobody discovered that the average is 100. Test makers set it there: they find the middle raw score of a reference sample and call it 100. Change the sample and the same answer sheet earns a different IQ.

SCORE THE SAME ANSWER SHEET AGAINST…
YOUR IQ AGAINST THIS GROUP115The answer sheet hasn't changed; only the comparison group has. This is the comparison a real IQ uses.Illustrative raw-score means, SD 8 raw points throughout.
BEFORE THE NUMBERS

Four questions about the middle of the curve

Slide to your guess, then reveal. Most people underestimate how crowded the middle is and overestimate their own place in it.

What share of people score between 85 and 115?
What share score between 90 and 110, the 'Average' label?
How many people in 100 score 130 or higher?
If you ask people to estimate their own IQ, roughly what's the typical answer?
THE AVERAGE OF A ROOM

Draw a random group: its average is rarely exactly 100

Even a perfectly random group drifts from 100 by chance. The typical drift is 15 ÷ √n: about 3 points for a class of 25, under half a point for a thousand. Claims about one school, team or office averaging 108 often mean nothing more than this.

55100145
THIS GROUP'S MEAN103.0
95% OF GROUPS LAND IN94.1 – 105.9
LAST 0 GROUPS
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AVERAGE BY AGE

The average is 100 at 8, 30 and 80, while raw ability is not

Modern IQs compare you with your own age group, so every age band averages 100. Underneath, raw performance moves: reasoning with new problems and processing speed tend to peak in early adulthood and decline gradually, while vocabulary and general knowledge keep growing into later life. Psychologists call these fluid and crystallised abilities.

So an 80-year-old with IQ 100 solves fewer novel puzzles than a 25-year-old with IQ 100, and usually knows more words.

1030507085
fluid / speed: 94% of peakcrystallised: 96% of peaknormed IQ at 40: 100
Curve shapes are a schematic of the commonly reported pattern (raw performance relative to age-25 peak), not data from a specific study.
THE AVERAGE OVER TIME

Your grandparents' average, scored on today's norms

Through the 20th century raw scores rose about 3 IQ points a decade in many countries (the Flynn effect), so each generation averaged 100 only against its own norms. Recent data from several countries show the rise slowing or reversing.

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A typical adult tested in the 1930s, scored against norms from about 2000, would average roughly 79, on a classic 3-points-a-decade rate. On their own era's norms they averaged 100. Gains were largest on abstract reasoning tests and smallest on vocabulary.

WHEN SOMEONE QUOTES "THE AVERAGE IQ OF…"

Four questions to ask about any group average

1Which test, which norms?A '115' on an untimed online quiz and on a recent clinical battery are different measurements.
2Who was sampled?Volunteers, students and applicants are not random. Self-selected samples often score above or below their whole group.
3How many people?Small samples wobble by 15 ÷ √n, as above. A sample of 50 can drift two points by chance alone.
4Average says nothing about one personEven where group averages differ, the spread within each group is far wider than the gap between them.
REFERENCES
  1. Wechsler, D. (2008). WAIS-IV Technical and Interpretive Manual. Pearson. Norming procedure and age bands.
  2. Flynn, J. R. (1987). Massive IQ gains in 14 nations: What IQ tests really measure. Psychological Bulletin, 101(2), 171–191.
  3. Bratsberg, B., & Rogeberg, O. (2018). Flynn effect and its reversal are both environmentally caused. PNAS, 115(26), 6674–6678.
  4. Horn, J. L., & Cattell, R. B. (1967). Age differences in fluid and crystallized intelligence. Acta Psychologica, 26, 107–129.
  5. Salthouse, T. A. (2009). When does age-related cognitive decline begin? Neurobiology of Aging, 30(4), 507–514.
  6. Furnham, A. (2001). Self-estimates of intelligence: Culture and gender difference in self and other estimates of both general (g) and multiple intelligences. Personality and Individual Differences, 31(8), 1381–1405.

Above, below or right at 100?

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