Enter the IQ score, mean IQ score, and standard deviation into the calculator to determine the IQ percentile.

Iq Percentile Formula

The following formula is used to calculate the IQ percentile.

IQP = (IQ - M) / SD * 100

Variables:

  • IQP is the IQ percentile (%)
  • IQ is the individual’s IQ score
  • M is the mean or average IQ score in the population
  • SD is the standard deviation of IQ scores in the population

To calculate the IQ percentile, subtract the mean IQ score from the individual’s IQ score. Divide the result by the standard deviation of IQ scores in the population. Multiply the quotient by 100 to convert it to a percentage. This gives the IQ percentile, which represents the percentage of people in the population who have an IQ score lower than the individual’s score.

What is an Iq Percentile?

An IQ percentile is a measure that indicates the percentage of people in a population who have an IQ score lower than a particular individual’s score. It is used to compare and rank an individual’s cognitive abilities with the general population. For example, if a person has an IQ percentile of 90, it means that they have a higher IQ score than 90% of the population. This measure is often used in educational and psychological contexts to assess intelligence and cognitive abilities.

How to Calculate Iq Percentile?

The following steps outline how to calculate the IQ Percentile.


  1. First, determine the individual’s IQ score (IQ).
  2. Next, determine the mean or average IQ score in the population (M).
  3. Next, determine the standard deviation of IQ scores in the population (SD).
  4. Next, use the formula: IQP = (IQ – M) / SD * 100.
  5. Finally, calculate the IQ Percentile.
  6. After inserting the variables and calculating the result, check your answer with the calculator above.

Example Problem : 

Use the following variables as an example problem to test your knowledge.

IQ score (IQ) = 120

Mean or average IQ score in the population (M) = 100

Standard deviation of IQ scores in the population (SD) = 15