This calculator provides an estimate of an individual’s IQ based on their ACT score. By standardizing ACT scores to a common IQ scale, it allows for a comparison between different forms of cognitive assessment, offering valuable insights into student capabilities and potential.
Formula of ACT To IQ Calculator
The formula for converting an ACT score to an IQ score involves several steps:
- Standard Score Conversion: First, convert the ACT score to a z-score, which standardizes it according to the average ACT scores. The formula is z = (ACT – 21) / 5.
- IQ Score Estimation: Next, convert the z-score into an IQ score using the standard IQ scale parameters. The conversion formula is IQ = (z * 15) + 100.
- Example Calculation: For an ACT score of 30, the calculation would be IQ = ((30 – 21) / 5) * 15 + 100, resulting in an IQ of approximately 127.
This method provides a standardized way to estimate IQ, emphasizing that it’s an approximation based on statistical assumptions.
Useful Conversion Table
Here’s a quick reference table for users to see how different ACT scores might translate to IQ scores:
| ACT Score | Estimated IQ |
|---|---|
| 21 | 100 |
| 24 | 115 |
| 30 | 127 |
| 36 | 145 |
Example of ACT To IQ Calculator
Consider a student with an ACT score of 28:
- Calculate the z-score: z = (28 – 21) / 5 = 1.4
- Using the formula, the estimated IQ would be: IQ = (1.4 * 15) + 100 = 121.
This example illustrates how the calculator translates a raw score into a contextual rank that helps in educational planning.
Most Common FAQs
The conversion provides an estimate based on statistical norms and should be used as a guideline rather than an exact measure.
While there’s a correlation between standardized test scores and cognitive ability, they should not be the sole measure of intelligence.
The calculator assumes that test scores and IQ are normally distributed and that the relationship between them is linear, which may not always hold true in individual cases.