©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

©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

©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

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

©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

©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

©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

©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

©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

©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

©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

©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

©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

©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

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

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

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

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

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

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 – 68-95-99.7 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

Normal distribution paper Student version: Normal distribution paper

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