1. What is Standardized IQ?

Standardized IQ is a score that transforms raw test results into a normalized distribution with a mean of 100 and standard deviation of 15. This allows comparison across different tests and populations.

2. How Does the Calculator Work?

The calculator uses the standardized IQ formula:

Where:

• \( Raw\ Score \) — Your test score
• \( Mean \) — Average score of the reference population
• \( SD \) — Standard deviation of the reference population
• 15 — Standard deviation of IQ scale
• 100 — Mean of IQ scale

Explanation: The formula converts your raw score to a standardized score showing how many standard deviations you are from the mean, then rescales it to the IQ metric.

3. Importance of IQ Standardization

Details: Standardization allows meaningful comparison of cognitive ability across different tests, age groups, and populations by putting all scores on the same scale.

4. Using the Calculator

Tips: Enter your raw test score, the population mean for that test, and the population standard deviation. All values must be valid (SD > 0).

5. Frequently Asked Questions (FAQ)

Q1: What's considered an average IQ?
A: By definition, 100 is average. About 68% of people score between 85 and 115 (within 1 SD of the mean).

Q2: Why multiply by 15 and add 100?
A: This transforms the z-score to the standard IQ scale where 100 is mean and 15 is standard deviation.

Q3: Can I use this for any test?
A: Only if you know the population mean and standard deviation for that specific test.

Q4: What if my test uses a different SD?
A: Adjust the formula accordingly (e.g., for SD=16: multiply by 16 instead of 15).

Q5: Are there limitations to this calculation?
A: This assumes your test population matches the reference population in characteristics like age and education.