AP® Statistics · Unit 1 · Topic 1.9

Comparing z-Scores Across Different Distributions

Watch it explained

  1. How it worksWalk me through standardizing two different tests so their scores land on one scale.
  2. Worked exampleCompare a 92 in a class with mean 80 and SD 6 to an 85 in a class with mean 70 and SD 4.
  3. Common mistakeWhy isn't the higher raw score always the better performance?
  4. Ties togetherHow do z-scores connect the shape of a distribution to the normal model?

Check yourself

Your turn1 of 2
In Test A, a score of 91 comes from a distribution with mean 79 and SD 11. In Test B, a score of 21 comes from a distribution with mean 11 and SD 3. Find zB minus zA, how many more standard deviations above its mean Test B's score is compared to Test A's.

End of topic.