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💬 Normal Distribution: Mixed Practice & Reasoning (S-ID.A.4)

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Use the mean and standard deviation to fit a normal distribution and estimate percentages. Read each problem. Draw or write to solve. Label your answer.

1. Mean 85, SD 11. z-score of 107?
Work
Answer: ______________
2. Scores are normal, mean 85, SD 11. About what percent score between 74 and 96?
Work
Answer: ______________
3. Mean 85, SD 11. z-score of 63?
Work
Answer: ______________
4. Scores are normal, mean 94, SD 8. About what percent score between 86 and 102?
Work
Answer: ______________
5. Mean 83, SD 9. z-score of 92?
Work
Answer: ______________
6. Scores are normal, mean 81, SD 10. About what percent score between 71 and 91?
Work
Answer: ______________
Answer key: 1) z = 2 · 2) about 68% · 3) z = -2 · 4) about 68% · 5) z = 1 · 6) 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 — mixed practice with space to reason and check, 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

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What age is it for?

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: 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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