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

Paginepagineapp.com

Name:

Date:

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

1. Mean 82, SD 8. z-score of 90?

2. Scores are normal, mean 91, SD 15. About what percent score between 76 and 106?

3. Mean 88, SD 15. z-score of 103?

4. Scores are normal, mean 70, SD 8. About what percent score between 62 and 78?

5. Mean 79, SD 4. z-score of 87?

6. Scores are normal, mean 98, SD 5. About what percent score between 93 and 103?

7. Mean 66, SD 8. z-score of 58?

8. Scores are normal, mean 62, SD 10. About what percent score between 52 and 72?

9. Mean 51, SD 4. z-score of 47?

10. Scores are normal, mean 82, SD 9. About what percent score between 73 and 91?

11. Mean 86, SD 10. z-score of 76?

12. Scores are normal, mean 71, SD 5. About what percent score between 66 and 76?

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

Love free resources? The free Pagine app tracks the books your child reads — kids earn streaks & badges. 📚 App Store · Google Play

← All worksheets

Free to print & share · pagineapp@mwamb.compagineapp.com

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 second set of 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.

Frequently asked questions

Is this worksheet free?

Yes — it is free to print for home or the classroom. Sign in with a free Pagine account, then use the Print button or save it as a PDF.

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.

Where can I find grade 11 books to read with it?

Pagine's free library has 20,000+ children's books you can read in the Pagine e-reader or the free Pagine app — sorted by age and grade, with free audiobooks too.

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: 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

📚 Read along: 20,000+ free books in the Pagine e-reader

Pair this grade 11 worksheet with a story. Pagine's free library has 20,000+ children's books — classic novels, drama, poetry and non-fiction, classics and free audiobooks — that you can read right in the Pagine e-reader on any phone, tablet or computer, with adjustable text size and night mode. No ads.

Browse free grade 11 books → · Grade 11 reading level · Free audiobooks · High school reading list

📱 Get the free Pagine app — log every book your child reads (scan the barcode or search), set reading goals, and watch streaks and badges grow. Download on the App Store · Get it on Google Play