Free Standard Score Calculator

Convert a raw score to a standard score (T-score) with a mean of 50 and standard deviation of 10 for educational testing.

T-Score (Standard Score)

58.8

Z-Score0.88
Deviation from Mean7.0

T-Score (Standard Score) vs Your Score

How to Calculate a Standard Score (T-Score)

A T-score rescales your z-score to a distribution with mean 50 and standard deviation 10.

Formula

T-Score = 50 + 10 x Z

Where Z = (Score - Mean) / Standard Deviation

T-scores eliminate negative numbers and decimals, making interpretation easier.

Example Calculation

A student scores 82 in a group with mean 75 and standard deviation 8.

  1. 01Z-score = (82 - 75) / 8 = 0.875
  2. 02T-score = 50 + 10 x 0.875 = 58.75
  3. 03The student is above average with a T-score of 58.75.

Frequently Asked Questions

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