Standardized IQ Score Chart & Bell Curve
Understand where cognitive assessment scores fall across the general population. Explore standard deviation cutoffs, cumulative percentiles, and official psychometric classifications.
The Normal Distribution (Bell Curve)
Standard deviation metric (μ = 100, σ = 15). 68.2% of the population scores within 85 to 115.
Standardized Deviation IQ Classification Table (SD 15)
Theoretical population distribution based on the Wechsler intelligence measurement scale.
| Score Range | Percentile Range | Classification Label | Population Share | Rarity Ratio |
|---|---|---|---|---|
| 145+ | 99.87% to 99.99% | Profoundly Superior | 0.13% | 1 in 740 |
| 130 to 144 | 97.72% to 99.86% | Very Superior | 2.14% | 1 in 44 |
| 120 to 129 | 90.88% to 97.71% | Superior Ability | 6.72% | 1 in 15 |
| 110 to 119 | 75.00% to 90.87% | High Average | 16.13% | 1 in 6 |
| 90 to 109 | 25.25% to 74.75% | Average Range | 50.00% | 1 in 2 |
| 80 to 89 | 9.13% to 25.24% | Low Average | 16.13% | 1 in 6 |
| 70 to 79 | 2.28% to 9.12% | Borderline Range | 6.72% | 1 in 15 |
| < 70 | < 2.27% | Low Range | 2.27% | 1 in 44 |
*Note: High-IQ societies such as Mensa benchmark membership eligibility at or above the 98th percentile (IQ 130 on SD 15, or IQ 132 on SD 16), determined via supervised, approved proctored examinations.
Standard Deviation Comparison: SD 15 vs. SD 16
Not all IQ scores are measured on the same scale. The standard deviation defines the spread of scores relative to the population mean of 100.
| Percentile Rank | Wechsler Scale (SD 15) | Stanford-Binet (SD 16) | Cattell Scale (SD 24) |
|---|---|---|---|
| 99.9th (Top 0.1%) | 146 | 149 | 174 |
| 98.0th (Mensa Top 2%) | 130 | 132 | 148 |
| 90.0th (Top 10%) | 119 | 121 | 131 |
| 50.0th (Median) | 100 | 100 | 100 |
Discover Where You Stand on the Bell Curve
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Take Free Assessment (20 Mins)→Frequently Asked Questions: IQ Scores & Distributions
What is considered a good IQ score?
An IQ score between 90 and 109 is statistically average. A score of 115 or higher (one standard deviation above the mean) places you in the top 16% of the population, commonly classified as High Average or Bright. A score of 120–129 is classified as Superior (top 9% to 2.5%), and scores of 130 or higher represent Very Superior or Gifted intelligence (top 2.27%).
What does an IQ of 115 mean?
An IQ of 115 is exactly one standard deviation (SD 15) above the population mean of 100. It corresponds to approximately the 84.1st percentile, meaning you performed equal to or higher than ~84 out of 100 people in the general population.
What does an IQ of 120 or 125 mean?
An IQ of 120 corresponds to the 90.9th percentile (top 9.1%), while an IQ of 125 corresponds to the 95.2nd percentile (top 4.8%). Both fall into the 'Superior' cognitive classification under the Wechsler WAIS-IV scale, reflecting advanced problem-solving, rapid abstraction, and strong analytical capacity.
What percentage of the population has an IQ score above 130?
On standard intelligence scales with a standard deviation of 15 (such as the WAIS-IV), an IQ score of 130 sits exactly two standard deviations above the mean. Mathematically, approximately 2.27% of the human population scores at or above 130. This is the standard threshold for Mensa membership.
What is the difference between SD 15, SD 16, and SD 24 on an IQ chart?
Different psychometric scales use different standard deviations. The Wechsler scale uses SD 15 (where 130 is the 98th percentile). The Stanford-Binet Form L-M historically used SD 16 (where 132 is the 98th percentile). The Cattell Culture Fair test uses SD 24 (where 148 is the 98th percentile). While the raw numerical scores differ, they describe the exact same percentile rank and relative distance from the population mean.
Can a person's IQ score change over time?
Adult IQ test scores show high test-retest stability (correlations typically r = 0.80 to 0.90 across years). However, scores can fluctuate within a standard error of measurement (typically ±3 to 5 points) due to test anxiety, fatigue, health, or practice effects. Over generations, raw performance has historically shifted due to the Flynn effect, requiring periodic re-norming of test batteries.
What is the IQ of the average doctor?
Psychometric studies and occupational cognitive data (such as the Hauser Wisconsin Longitudinal Study and Wonderlic normative analyses) find that medical doctors, physicians, and surgeons average an IQ between 120 and 125. This score range places medical professionals in the Superior classification, around the 91st to 95th percentiles of the general population.
Related Psychometric Reference Guides & Tools
Deepen your understanding of cognitive distributions, clinical classifications, and high-IQ society criteria.
IQ Classification Scale→
Compare Wechsler, Stanford-Binet, and Woodcock-Johnson score tiers, normal bell curve proportions, and the Flynn effect.
High-IQ Societies Guide→
Cutoff percentiles for Mensa, Intertel, and Triple Nine Society. Includes accepted prior evidence (SAT, GRE, ACT) rules.
IQ Percentile Calculator→
Convert any standardized IQ score into its exact population percentile rank and rarity ratio across SD 15, 16, or 24.