“When it comes to knowledge of an art, there is no such thing as a master; only a lifelong student willing to maintain an open mind to the infinite possibilities of the art itself.” – author unknown

No need to panic! They are not meant to freak you out!

*Box and Whisker Plots in the Federation

*Ice Breaker How comfortable are you teaching Box-and-Whisker Plots at this point in time?

Share with the person next to you.

*Group Norms

*To assure a successful time of learning and sharing, please do the following:

*Today’s Training-Phase II

*Today’s Agenda*Introduction to Box-and-Whisker Plots

*Found in CF #8: Statistics: 6.SP.4 and 5c

*Related Activities

*Take Home Sheets to use in your classroom

*Learning Targets

*I can organize and display numerical data using a box-and-whisker plot.

*I can identify median, upper and lower quartiles, the interquartile range, and the lowest and highest values in a set of data.

*I can accurately analyze data displayed in a box plot as related to the roles of the quartiles.

https://www.youtube.com/watch?v=Fhk5lDGpivo

*Breaking Down the Data for a Box-and-Whisker

*Step One: Organize this data from least to greatest.

*4, 17, 7, 14, 18, 12, 3, 16, 10, 4, 4, 11

*Step 2: Cut the Data in half.

*3, 4, 4, 4, 7, 10, 11, 12, 14, 16, 17, 18

Hey, can’t you read the

sign?

*Steps 3 and Step 4:*3, 4, 4, 4, 7, 10 11, 12, 14, 16,

17, 18

*Find the center of the upper half.

*Find the center of the lower half.

*Step 5: Look at the quartiles.

*In this case all the quartiles are between numbers:

*Quartile 1 (Q1) = (4+4)/2 = 4

*Quartile 2 (Q2) = (10+11)/2 = 10.5 (Median)

*Quartile 3 (Q3) = (14+16)/2 = 15

Q 1 Q 2 Q 3

*Step 6:Finding the Interquartile Range (a

measure of variability)

Q 1 Q 2 Q 3

15 – 4 = 11 (Interquartile Range)

*Step 7: Creating the Box-and-Whisker Plot*The Necessary Data:*Q1= 4 Q2 = 10.5 Q3 = 15

The Lowest Value is 3 The Highest Value is 18

Q1 Q2 Q3

*Try This with a Partner.

*Data Set: 12, 14, 14, 12, 16, 13, 11, 9, 14, 18

*Results

9, 11, 12, 12, 13 14, 14, 14, 16, 18Q1 Q2 Q3LOWEST HIGHES

T

Interquartile Range: 14-12=2

*Activity: Human Box-and-Whisker Plot

*9 Volunteers

*Line up according to your birth month: January to December.

*Assessment Questions for FW

8

What is the Median of the Box and Whisker Plot?What is the Range?What is the Interquartile Range?

*Overview of the Handouts

*Summary/Exit Activity

http://www.youtube.com/watch?v=nI4_yfsVcEshttps://employee.peoriaud.k12.az.us/k12edsites/ProfessionalDevelopment/PDClasses/Lists/Course%20Surveys/AllItems.aspx