Convert IQ ↔ T-score
How the conversion works
IQ and T-score scores are normalised on bell-curve distributions. The conversion maps a person's standing in one distribution to the equivalent standing in the other.
- IQ: mean 100, standard deviation 15.
- T-score: mean 50, standard deviation 10. T-scores avoid negative numbers by shifting the mean from 0 to 50. They are common in clinical assessment, the MMPI, the NEO-PI, and similar instruments.
IQ-equivalent = (target − meantarget) / SDtarget × 15 + 100
target-equivalent = (IQ − 100) / 15 × SDtarget + meantarget
Common IQ ↔ T-score reference table
| IQ | T-score | Percentile |
|---|---|---|
| 70 | 30 | ~2nd |
| 85 | 40 | ~16th |
| 100 | 50 | ~50th |
| 115 | 60 | ~84th |
| 130 | 70 | ~98th |
| 145 | 80 | ~99.9th |
Important caveats
- IQ and T-scores are mathematically equivalent representations of the same standing on a normal distribution. The conversion is exact (T = (IQ − 100) / 15 × 10 + 50), not an estimate.
- Extreme-tail conversions are less reliable because both tests have fewer calibration cases there.
- No score entered here is stored, submitted, or connected to an account.
Related tools
IQ percentile calculator · IQ to Z-score converter · IQ to Stanine converter · IQ score chart
Cite this converter
Editorial content and curation are released under CC BY-SA 4.0. This converter is part of the What's Your IQ educational resources.