1. ©2010, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia
Normal Distribution
& Empirical Rule
Pop-Up
©2010, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia

2. ©2010, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia
Materials
Markers or colored pencils
Normal distribution paper
Card stock
Scissors
Glue
©2010, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia

3. ©2010, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia
Directions
Select 4 different colors.
Color the middle two (4th and 5th) rectangles color A.
Color the 3rd and 6th rectangles color B.
Color the 2nd and 7th rectangles color C.
Color the 1st and 8th rectangles color D.
©2010, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia

4. ©2010, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia

5. ©2010, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia
Directions
Label the middle two (4th and 5th) rectangles 34%.
Label the 3rd and 6th rectangles 13.5%.
Label the 2nd and 7th rectangles 2.35%.
Label the 1st and 8th rectangles 0.15%.
©2010, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia

6. ©2010, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia
0.15%
2.35%
13.5%
34%
34%
13.5%
2.35%
0.15%
©2010, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia

7. ©2010, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia
Directions
Label the mean (x).
Label + 1 SD, + 2 SD, and + 3 SD to the right of the mean (as shown).
Label - 1 SD, - 2 SD, and - 3 SD to the left of the mean (as shown).
©2010, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia

8. ©2010, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia
0.15%
2.35%
13.5%
34%
34%
13.5%
2.35%
0.15%
- 3 SD
+ 3 SD
- 2 SD
+ 2 SD
- 1 SD x
+ 1 SD
©2010, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia

9. ©2010, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia
Directions
Connect the + 1 SD and - 1 SD.
Label 68%.
©2010, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia

10. ©2010, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia
0.15%
2.35%
13.5%
34%
34%
13.5%
2.35%
0.15%
- 3 SD
+ 3 SD
- 2 SD
+ 2 SD
- 1 SD x
+ 1 SD
68%
©2010, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia

11. ©2010, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia
Directions
Connect the + 2 SD and - 2 SD.
Label 95%.
©2010, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia

12. ©2010, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia
0.15%
2.35%
13.5%
34%
34%
13.5%
2.35%
0.15%
- 3 SD
+ 3 SD
- 2 SD
+ 2 SD
- 1 SD x
+ 1 SD
68%
95%
©2010, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia

13. ©2010, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia
Directions
Connect the + 3 SD and - 3 SD.
Label 99.7%.
©2010, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia

14. ©2010, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia
0.15%
2.35%
13.5%
34%
34%
13.5%
2.35%
0.15%
- 3 SD
+ 3 SD
- 2 SD
+ 2 SD
- 1 SD x
+ 1 SD
68%
95%
99.7%
©2010, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia

15. Assembling Directions
Fold lengthwise (hotdog style).
Fold in half again (hamburger style).
©2010, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia

16. Assembling Directions
Cut along the dotted lines (as shown).
©2010, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia

17. Assembling Directions
Fold each section back and forth to cease.
©2010, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia

18. Assembling Directions When you open it, the bars should “pop up”.
Unfold paper.
Fold lengthwise (hotdog style) again but print will be on the inside.
Fold a piece of card stock lengthwise (hotdog style).
Glue the paper into the card stock.
When you open it, the bars should “pop up”.
©2010, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia

19. ©2010, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia
EXAMPLE
©2010, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia

20. On the other side of the card stock, write the definition of:
Normal distribution –
a pattern for distribution of data which is a bell-shaped curve and symmetrical about the mean.
Empirical rule –
rule often used for a quick estimate of an event’s probability based on normally distributed data.
On the other side of the card stock,
write the definition of:
©2010, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia

21. Normal distribution paper
Student version:
Normal distribution paper

22. ©2010, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia
13.5%
©2010, Dr. Jennifer L. Bell, LaGrange High School, LaGrange, Georgia