Standardized Test Score Analyzer

Convert raw test scores into standardized metrics including z-scores, T-scores, percentile ranks, and stanines using population mean and standard deviation.

Results will appear here.

Formulas Used

Z-Score: z = (X − μ) / σ

T-Score: T = 50 + 10 × z

Percentile Rank: P = Φ(z) × 100, where Φ is the standard normal CDF

Normal Curve Equivalent (NCE): NCE = 21.06 × z + 50

Stanine: 9-point scale derived from z-score boundaries (−1.75, −1.25, −0.75, −0.25, 0.25, 0.75, 1.25, 1.75)

Percentage Correct: (Raw Score / Max Score) × 100

Assumptions & References

References