✏️ Normal Distribution: Practice A (S-ID.A.4)

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Use the mean and standard deviation to fit a normal distribution and estimate percentages. Solve each problem.

1. Mean 55, SD 15. z-score of 40?

2. Scores are normal, mean 80, SD 13. About what percent score between 67 and 93?

3. Mean 84, SD 3. z-score of 81?

4. Scores are normal, mean 96, SD 11. About what percent score between 85 and 107?

5. Mean 89, SD 12. z-score of 77?

6. Scores are normal, mean 54, SD 11. About what percent score between 43 and 65?

7. Mean 65, SD 14. z-score of 51?

8. Scores are normal, mean 65, SD 12. About what percent score between 53 and 77?

9. Mean 80, SD 6. z-score of 86?

10. Scores are normal, mean 100, SD 12. About what percent score between 88 and 112?

11. Mean 76, SD 14. z-score of 48?

12. Scores are normal, mean 73, SD 5. About what percent score between 68 and 78?

Answer key: 1) z = -1 · 2) about 68% · 3) z = -1 · 4) about 68% · 5) z = -1 · 6) about 68% · 7) z = -1 · 8) about 68% · 9) z = 1 · 10) about 68% · 11) z = -2 · 12) about 68%

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Worksheets › Grade 11 Math (Algebra II) › Normal Distribution › Normal Distribution

Grade 11 (ages 16–17)Numbers & mathsFree printable PDF

About this grade 11 worksheet

Free Grade 11 Algebra II math worksheet (Common Core S-ID.A.4): normal distribution — twelve practice problems, with answer key. Skill: Use the mean and standard deviation to fit a normal distribution and estimate percentages. Level: Grade 11 — also suits Year 12 (UK).

For teachers: skills & standards

CCSS S-ID.A.4: Use the mean and standard deviation to fit a normal distribution and estimate percentages
Works as a morning-work page, a centre/station activity, homework or an early-finisher task.

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It is designed for Grade 11 (ages 16–17), but use it with any child who is ready.

What skills does it build?

Use the mean and standard deviation to fit a normal distribution and estimate percentages.

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More “Normal Distribution” printables (s-id.a.4: use the mean and standard deviation to fit a normal distribution and estimate percentages)

Normal Distribution: Practice B (S-ID.A.4) · Normal Distribution: Mixed Practice & Reasoning (S-ID.A.4) · Normal Distribution: Show Your Thinking (S-ID.A.4) · Normal Distribution: Quick Check (S-ID.A.4)

All 5 normal distribution sheets → · Grade 11 Math (Algebra II): all 10 skills → · All Common Core grades

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