What Does an IQ of 115 Mean?

DO IT IN YOUR HEAD

68 · 95 · 99.7, and every whole-SD score falls out

About 68% of people sit within one SD of the mean, 95% within two, 99.7% within three. Split the leftovers evenly between the tails and you get the percentile of any whole-SD score. Pick one.

1 SD: about 68% within ±15 pointsOutside: 32%, split in two: 16% each tail100 − 16 = 84% at or below 115

84thThat's 115: the 84th percentile, no calculator needed. (Exact: 84.1%.)

THE OPTIMISTIC READYou outscore 25 of 30.

THE SOBERING READ5 of 30 score higher.

Both are true. Expected counts on a normal curve; any real room varies.

WHAT EACH 15-POINT STEP BUYS

Same 15 points, very different rarity

100Average

50th · 1 in 2

115High average

84th · 1 in 6

130Gifted line

98th · 1 in 44

145Exceptional

99.9th · 1 in 741

100 → 115From the exact middle to clearly above average: +34 percentile points.

115 → 130Into the top 2%, where Mensa and most gifted programmes draw the line: from 1 in 6 to about 1 in 44.

130 → 145The same 15 points move you only from about the 98th to the 99.9th percentile, but rarity jumps to 1 in ~740.

Bar height is drawn on a log scale of rarity. 115 is not a gifted score: it's a full standard deviation short of 130, the same distance that separates it from the average.

SUBTEST SCATTER

Many profiles make the same 115

Wechsler tests report separate indices. A 115 composite can be flat or sharply tilted, and the tilt often says more about fit than the composite does. Spatial ability in particular, under-weighted by verbal-heavy tests, predicts STEM achievement, as Wai, Lubinski and Benbow showed in 2009.

Verbal comprehension115Visual-spatial / fluid115Working memory115Processing speed115

ROUGH COMPOSITE115

SPREAD (HIGH − LOW)0

A fairly flat profile: no index stands out, a balanced thinker.The composite here is a simple average for illustration. Real full-scale IQs are normed from subtest scores and usually land a little further from 100 than the average of the indices.

UNIVERSITY AND GRADUATE STUDY

Higher education becomes the default, not a stretch

Rough estimates of average IQ by degree level put graduates in the low-to-mid 110s and graduate or professional students higher. At 115 the ceiling isn't the bottleneck: conscientiousness, work habits, finances and persistence decide who finishes.

95105115125135

Bachelor's graduates

Graduate & professional students

Doctoral holders

Bars are rough, editorial ranges for typical averages, not cut-offs; the dark line is 115. Estimates vary by country, cohort and study.

Roles where average incumbents tend to score in the 110s

ManagersAccountantsAnalystsTeachersNursesAllied healthEngineersTechnical specialistsIT professionalsMost degree-requiring white-collar roles

Occupational research, including Schmidt and Hunter's syntheses, finds average IQ rising with job complexity. That describes a field's average, not a gate. At 115 the door to essentially any mainstream professional career is open; the most quantitatively brutal corners depend on the rest of the package.

A QUESTION ABOUT THIS VERY PAGE

A test has mean 100 and SD 15, normally distributed. About 68% of people fall within one SD of the mean. Roughly what percentage score above 115?

QUICK ANSWERS

Q1Is an IQ of 115 good?Yes. High average at the 84th percentile: higher than about 84% of people, and exactly one standard deviation above 100.

Q2Is 115 enough for Mensa?No. Mensa needs the top 2%, about 130 on a 15-SD test: a full standard deviation higher.

Q3What percentile is 115?The 84th. About 16%, roughly 1 in 6, score higher.

Q4Enough for college and grad school?Yes. At or slightly above the typical graduate, and at the entry edge of graduate study. Persistence matters more than the score here.

Q5How much higher is 130?One more SD: from the 84th to about the 98th percentile, and from 1 in 6 to about 1 in 44.

Q6What does +1 SD mean?That 115 = 100 + one standard deviation of 15, so it's the top edge of the band holding about 68% of people.

EVERY SCORE, ON THE RULER

70 80 85 90 95 100 110 115 120 125 130 135 140 145 150 155 160

Percentiles and rarities are computed from a normal distribution (mean 100, SD 15). Degree-level and occupational averages are rough summaries of published estimates; the index builder is a teaching toy, not a scoring method.

The cleanest number on the whole scale.

68 · 95 · 99.7, and every whole-SD score falls out

Same 15 points, very different rarity

Many profiles make the same 115

Higher education becomes the default, not a stretch

See which engine is pulling. Four subscores, one composite.