Z Score to T Score Calculator

Z-Score to T-Score Calculator

Z-Score to T-Score Calculator

Convert standard scores to T-scores used in psychological and educational testing

Input Data

Conversion Formula

T = 50 + (Z × 10)

Where:

  • T is the T-score
  • Z is the Z-score
  • 50 is the mean of the T-score distribution
  • 10 is the standard deviation of the T-score distribution

Conversion Results

Z-Score
0.00
T-Score
50.00

Interpretation Guide

T-Score Ranges:

  • 20-30: Very low
  • 30-40: Low
  • 40-60: Average
  • 60-70: High
  • 70-80: Very high

T-scores are commonly used in psychological testing, where a score of 50 represents the population mean, and each 10-point deviation represents one standard deviation.