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Glossary

What Is Item Discrimination? A Quiz Quality Metric

May 27, 20264 minSarah Mitchell
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Short answer. Item discrimination is a statistical measure of how well a quiz question distinguishes between students who know the material and students who don't. A good question is one that strong students get right and weak students get wrong; a bad question is one where the pattern is reversed or random.

How it's calculated (simplified)

For each question, you compute:

  • The proportion of **high-scoring students** (typically top 27% on the overall quiz) who got the question right
  • The proportion of **low-scoring students** (bottom 27%) who got it right
  • The difference is the **discrimination index** (D)
  • D ranges from -1 to +1:

  • +1: All strong students right, all weak students wrong — ideal
  • +0.3 to +0.5: Good question, keep
  • 0 to +0.2: Weak question, revise
  • Negative: Weak students outperformed strong students — broken question, throw out
  • Why it matters

    A high-difficulty question can still be useful if it has good discrimination. A low-difficulty question with poor discrimination is worse than useless — it makes the quiz feel rigorous without testing anything.

    The classic "broken question" pattern: question has poor discrimination because one of the distractors is *actually defensible*. Strong students see the ambiguity and pick the "wrong" answer; weak students don't notice and pick the keyed answer. Fix: rewrite the distractor.

    How to find low-discrimination questions

    Most LMSs and quiz tools surface this:

  • Canvas, Blackboard, Moodle: quiz analytics often show discrimination index per item
  • SimpleQuizMaker: per-question analytics show miss rate; high-scorer vs low-scorer split available
  • Manual: For small classes, sort students by total score; check each question's distribution
  • After a quiz, glance at the discrimination indices. The 3-5 lowest-scoring items are candidates for rewriting before the next administration.

  • Difficulty — proportion who got the item right (separate from discrimination)
  • Point-biserial correlation — a more rigorous version of discrimination
  • Cronbach's alpha — reliability of the quiz overall
  • [How to Write Good Quiz Questions](/blog/how-to-write-good-quiz-questions)
  • [Multiple Choice Distractor Design](/blog/multiple-choice-distractor-design)
  • [Quiz Analytics — Teacher Guide](/blog/quiz-analytics-teacher-guide)
  • [How to Write Hard Quiz Questions](/blog/how-to-write-hard-quiz-questions)
  • See per-question analytics on your next quiz.

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    Sarah Mitchell

    Curriculum Designer & Former High School Teacher

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