To calculate the IQ Percentile (\(IQP\)):
\[ IQP = \left( \frac{IQ - M}{SD} \right) \times 100 \]
Where:
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.
Let's assume the following values:
Using the formula:
\[ IQP = \left( \frac{130 - 100}{15} \right) \times 100 \approx 200 \]
The IQ Percentile is approximately 200%.
Let's assume the following values:
Using the formula:
\[ IQP = \left( \frac{115 - 100}{15} \right) \times 100 \approx 100 \]
The IQ Percentile is approximately 100%.
