Free IQ Percentile Calculator
Typical range: 40–200
Wechsler & SB5 use SD 15; some older tests use SD 16
Enter your IQ score to find your percentile
The IQ to Percentile Calculator converts an Intelligence Quotient (IQ) score into its corresponding percentile rank, giving you a clear picture of how your cognitive ability compares with the general population. The IQ percentile tells you the percentage of people who score at or below your level, making it easy to interpret results from standardized IQ tests. This tool also provides an IQ Percentile Chart and IQ Classification tables to help you understand the meaning of different score ranges.
Understanding IQ and Percentiles
IQ stands for Intelligence Quotient, a standardized score derived from tests designed to measure fluid intelligence — the ability to reason, learn new concepts, recognize patterns, and solve problems. Historically, IQ was computed as (mental age ÷ chronological age) × 100, which is why the term “quotient” persists. Modern assessments use deviation IQ, where raw scores are transformed to a normal distribution with a mean of 100 and a standard deviation (SD) of either 15 (most common, used by Wechsler and SB5) or 16.
A percentile rank indicates the proportion of a reference group that scores at or below a given IQ score. For example, an IQ score of 70 corresponds to the 2nd percentile (SD = 15), meaning only 2% of the population scores 70 or lower. Conversely, an IQ of 125 is at the 95th percentile — 95% of people score at or below 125, and only 5% score higher. Converting an IQ score to its percentile is a direct way to see where you stand relative to others.
The Distribution of IQ Scores
IQ scores in the general population follow a bell‑shaped normal distribution. Applying the empirical rule (68‑95‑99.7) to this distribution:
- Roughly 68% of people have an IQ between 85 and 115 (within one standard deviation of the mean).
- About 95% fall between 70 and 130 (within two SDs).
- Approximately 99.7% score between 55 and 145 (within three SDs).
This pattern shows that most individuals cluster near the average, with relatively few at the extreme high or low ends. In practical terms, there are many average scorers, a small number of gifted individuals, and a similarly small number of individuals with intellectual disabilities.
How to Use the IQ Percentile Calculator
Before using the calculator, you need a reliable IQ score obtained from a professionally administered test. Common standardized tests include:
- Wechsler Adult Intelligence Scale (WAIS)
- Wechsler Intelligence Scale for Children (WISC)
- Stanford‑Binet Intelligence Scale
- Cattell Culture Fair Intelligence Test
- Universal Nonverbal Intelligence Test
- Differential Ability Scales (DAS)
- Woodcock‑Johnson Tests of Cognitive Abilities
Once you have your score, follow these steps:
- Enter your IQ score into the calculator.
- Select the standard deviation used by your test (the default is 15; you can switch to 16 using the radio buttons).
- The calculator instantly displays your percentile rank and a brief interpretation.
The tool also shows a visual distribution chart: scores below yours are colored red, scores above in blue. The X‑axis represents IQ scores, and the Y‑axis shows the percentage of the population at each score. For instance, you can see that roughly 2.7% of the population has an IQ of exactly 100.
Note that different IQ tests may have different valid score ranges. The chart assumes a typical range and may not be reliable for scores outside that range.
IQ Percentile Reference Table
The following table (calculated for SD = 15) gives the percentile rank for various IQ scores:
| IQ Score | Percentile |
|---|---|
| 20 | 0.000004 |
| 30 | 0.0002 |
| 40 | 0.003 |
| 50 | 0.04 |
| 60 | 0.4 |
| 70 | 2 |
| 80 | 9 |
| 90 | 25 |
| 100 | 50 |
| 110 | 75 |
| 120 | 91 |
| 130 | 98 |
| 140 | 99.6 |
| 150 | 99.96 |
| 160 | 99.997 |
| 170 | 99.99985 |
| 180 | 99.999996 |
Scores of 130 and above are at the 98th percentile or higher, meaning they fall within the top 2% of the population. Conversely, scores below 70 are in the bottom 2%.
IQ Classification Standards
Different IQ tests employ slightly different classification labels. Below are four commonly referenced systems.
Wechsler (WAIS‑IV / WPPSI‑IV) Classification
| IQ Range (Deviation IQ) | Classification |
|---|---|
| 130 and above | Very Superior |
| 120–129 | Superior |
| 110–119 | High Average |
| 90–109 | Average |
| 80–89 | Low Average |
| 70–79 | Borderline |
| 69 and below | Extremely Low |
Stanford‑Binet Fifth Edition (SB5) Classification
| IQ Range (Deviation IQ) | Classification |
|---|---|
| 144+ | Very Gifted or Highly Advanced |
| 130–144 | Gifted or Very Advanced |
| 120–129 | Superior |
| 110–119 | High Average |
| 90–109 | Average |
| 80–89 | Low Average |
| 70–79 | Borderline Impaired or Delayed |
| 55–69 | Mildly Impaired or Delayed |
| 40–54 | Moderately Impaired or Delayed |
Woodcock‑Johnson III (WJ III) Classification
| IQ Score | Classification |
|---|---|
| 131 and above | Very Superior |
| 121–130 | Superior |
| 111–120 | High Average |
| 90–110 | Average |
| 80–89 | Low Average |
| 70–79 | Low |
| 69 and below | Very Low |
DAS‑II (2007) General Conceptual Ability (GCA) Classification
| GCA Score | Classification |
|---|---|
| ≥ 130 | Very High |
| 120–129 | High |
| 110–119 | Above Average |
| 90–109 | Average |
| 80–89 | Below Average |
| 70–79 | Low |
| ≤ 69 | Very Low |
These classification tables provide context for raw IQ scores. Keep in mind that the exact labels vary by test, but the underlying interpretation is similar: higher scores indicate superior cognitive ability relative to the general population.
Important Considerations
This IQ percentile calculator offers a quick and accurate estimate based on standard norms, but it should not replace a comprehensive professional evaluation. Cognitive assessment involves multiple factors beyond a single IQ score. Additionally, the calculator assumes a standard deviation of 15 unless you adjust it; using an incorrect SD will yield inaccurate percentiles. Always refer to the official test manual to confirm the appropriate SD for the instrument you took.
The IQ‑to‑percentile values in the reference table are calculated for SD = 15 and may not correspond exactly to tests that use SD = 16. If your test uses a different SD, be sure to change the setting in the calculator accordingly. Finally, remember that no online tool can substitute for a face‑to‑face evaluation by a qualified psychologist.
FAQ
1. How do I find my IQ percentile using this calculator?
First, obtain a reliable IQ score from a professionally administered test (e.g., WAIS, SB5). Then enter your score into the calculator and select the standard deviation used by your test (default 15, with an option for 16). The tool will instantly show your percentile rank and a distribution chart.
2. What does an IQ of 130 mean in terms of percentile?
An IQ of 130 corresponds to the 98th percentile when using a standard deviation of 15. This means 98% of the population scores at or below 130, and only 2% score higher. It is often classified as "Very Superior" in the Wechsler system.
3. What is the difference between IQ percentage and IQ percentile?
Percentage is a value out of 100 (e.g., scoring 85% on a test). Percentile indicates your relative position in a group; for example, being in the 85th percentile means you scored higher than 85% of the population, not that you got 85% correct. IQ scores are reported in percentiles, not percentages.
4. Which standard deviation should I use in the calculator?
Most widely used IQ tests (WAIS, SB5) use a standard deviation of 15. Some tests, such as the Stanford‑Binet Fourth Edition or certain Cattell tests, use SD = 16. Check the manual of the specific test you took and select the matching SD in the calculator.
How to Use
- Enter your IQ score or percentile
- Select the standard deviation (15 or 16)
- View your percentile rank and IQ classification instantly