Lemma
EasyNormal distribution
OpenStax, Contemporary Mathematics §8.7 Applications of the Normal Distribution · Example 1 · Statistics · Normal distribution

Applications of the Normal Distribution · Example 1

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.

(a) At what percentile would an SAT score of 990 fall?
(b) What is the z-score of an ACT score of 27?
(c) Which is better: a score of 1450 on the SAT or 29 on the ACT?

~5 minWritten answer · check your work with Lemma

OpenStax, Contemporary Mathematics · §8.7 Applications of the Normal Distribution · Example 1

Stuck? A gentle nudge

No hints for this one.

Something off?
Workspace
Your working

Check your full solution

Attach photos of your pages (up to 3) or one PDF — or check what you typed above. Lemma reads the work and verifies the reasoning, not just the answer.

Your first check today doesn't need an account.

Your photos and PDFs are read once and not stored — only the transcription is kept.