✅ Normal Distribution: Quick Check (S-ID.A.4)

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Use the mean and standard deviation to fit a normal distribution and estimate percentages. Work on your own. Then check your answers.

1. Mean 98, SD 6. z-score of 110?

2. Scores are normal, mean 56, SD 10. About what percent score between 46 and 66?

3. Mean 74, SD 5. z-score of 79?

4. Scores are normal, mean 65, SD 7. About what percent score between 58 and 72?

5. Mean 73, SD 13. z-score of 99?

6. Scores are normal, mean 86, SD 7. About what percent score between 79 and 93?

7. Mean 65, SD 6. z-score of 53?

8. Scores are normal, mean 51, SD 10. About what percent score between 41 and 61?

9. Mean 75, SD 3. z-score of 81?

10. Scores are normal, mean 79, SD 6. About what percent score between 73 and 85?

Score: ____ / 10 I can use the mean and standard deviation to fit a normal distribution and estimate percentages: ☐ yes ☐ almost ☐ not yet

Answer key: 1) z = 2 · 2) about 68% · 3) z = 1 · 4) about 68% · 5) z = 2 · 6) about 68% · 7) z = -2 · 8) about 68% · 9) z = 2 · 10) 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 — a ten-question quick check (quiz), 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 A (S-ID.A.4) · 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)

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

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