Calculateur de Score StandardFormule

How to Calculate a Z-Score

A z-score measures how many standard deviations a score is from the mean.

Formula

Z = (Score - Mean) / Standard Deviation

  • Z = 0 means you scored at the average
  • Z > 0 means above average
  • Z < 0 means below average
  • Exemple Résolu

    A student scores 85 in a class with mean 75 and standard deviation 10.

    1. Z-score = (85 - 75) / 10 = 1.0
    2. Points above mean = 85 - 75 = 10
    3. The student is 1.0 standard deviations above the mean.