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Back to 8.7 Applications of the Normal Distribution

8.7 Exercise 1

Avg difficulty 2.5

According to the Digest of Education Statistics, composite scores on the SAT have mean 1060 and standard deviation 195, while composite scores on the ACT have mean 21 and standard deviation 5.

  1. At what percentile would an SAT score of 990 fall?
  2. What is the z-score of an ACT score of 27?
  3. Which is better: a score of 1450 on the SAT or 29 on the ACT?

OpenStax Contemporary Mathematics, 8.7 Applications of the Normal Distribution, exercise 1

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Adapted from Contemporary Mathematics © 2023 Rice University. Licensed under CC BY 4.0. Source: Contemporary Mathematics. Imported at revision fa7c1a1.