Unit 1 Chapter 7 Section 5 Day One: Box and Whisker Plots pg. 394

Box-and-Whisker Plots

Box and Whisker Plots GPS. M7D1 Students will pose questions, collect data, represent and analyze the data, and interpret results. Analyze data with respect to measures of variation (range, quartiles, interquartile range)

EQ:  How is understanding the measures of central tendency important in constructing a box and whisker plot?  How do we construct a Box and Whisker Plot?  How does a Box and Whisker Plot show variation?

Five Key Points  Students will trace their hand on a sheet of printer paper.  Label each finger, in order, as one of the five key values.  Lower Extreme  (First) Lower Quartile  Median  (Third) Upper Quartile  Upper Extreme

Five Key Points  Using the following data, find the Five Key Points  Then, Label them on your hand drawing  Use colored pencils or crayons to color code your drawing and your math.

Step 1 – Order Numbers 1. Order the set of numbers from least to greatest

2. Find the median. The median is the middle number. If the data has two middle numbers, find the mean of the two numbers. What is the median? Step 2 – Find the Median

3. Find the lower and upper medians or quartiles. These are the middle numbers on each side of the median. What are they? Step 3 – Upper & Lower Quartiles

4. Find the least number is the lower extreme. The greatest number is the upper extreme. Step 4 – Upper & Lower Extremes

Lower extreme- Smallest # First quartile is the median of the lower half of the data set Second quartile- the median of the data set Third quartile is the median of the upper half of the data set Upper extreme- the biggest # HERE IS AN EXAMPLE OF 5 KEY POINTS ON A BOX AND WHISKER PLOT

Box and Whisker Plots Lower quartileUpper quqrtile Interquartile range Median

Box And Whisker Plot Brochure On the front of your brochure, take two minutes and draw a picture or cartoon that represents MEDIAN.

Box And Whisker Plot Brochure Next, copy the following definitions into your brochure.

Definitions:  Box and whisker: shows the distribution of a set of data along a number line by dividing the data into four parts  Median: (middle quartile) the middle number in a set of data ordered least to greatest  Lower Extreme: smallest number in a data set.  Upper Extreme: largest number in a data set

 Lower Quartile: median of the lower half  Upper Quartile: median of the upper half  Range: the difference between the highest and lowest numbers  Interquartile Range: the difference between the upper and lower quartiles.

Box and Whisker Plot Brochure: Now, Let’s make a Box and Whisker Plot  Step One: Order Data least to greatest Heights in inches of all the cousins at a family reunion:

Box and Whisker Plot Brochure: Now, Let’s make a Box and Whisker Plot Step Two: Circle the Median Step Three: Circle the Lower Quartile and the Upper Quartile Step Four: Circle the Lower Extreme and the Upper Extreme Heights in inches of all the cousins at a family reunion: THE FIVE CIRCLED NUMBERS ARE YOUR FIVE KEY VALUES. HIGH FIVE!

Box and Whisker Plot Brochure: Now, Let’s make a Box and Whisker Plot Step Five: Look at the number line, and put dots at the five key values. Step Six: Put vertical lines through the three middle values Step Seven: Use Lines to create your box and whisker plot! Heights in inches of all the cousins at a family reunion:

Box and Whisker Plot Brochure: Five Key Values Look at the BOOKS READ Box and Whisker Plot. Can you label the five key values?

Box and Whisker Plot Brochure: YOUR TURN! Using the data on the back of your brochure and the number line given, create a box and whisker plot for the Test Scores. TEST SCORES:

Closing  What are the five key values? And, why are they important?

Unit 1 Chapter 7 Section 5 Day Two: Box and Whisker Plots pg. 394

EQ:  How is understanding the measure of central tendency important in constructing a box and whisker plot?

Box and Whisker Plots To the tune of:

Verse 1 So, sit right back and I’ll tell a tale. A tale of a guy named Scott. He figured out how to draw a Box and Whisker plot Repeat (A box and whisker plot)

Verse 2 He said, “Take your pencil and write the numbers In order from least to great.” Then find the number in the middle and draw a line through it. Repeat: Yes, draw a line through it Median: 33

Verse 3 This number is called the median It splits the data in half. We call the left the lower half And the right the upper half. Repeat: The right is the upper half Median: 33

Verse 4 Now, concentrate on the lower half. It takes a little while. Find the median of this half. It’s called the lower quartile. Repeat: (It’s called the lower quartile)

Verse 5 Now, switch your attention to the other half. And do it with a smile! Now find the median of this half, It’s called the Upper Quartile. Repeat: (It’s called the Upper Quartile)

Verse 6 This is so exciting now. Because we’re almost done. We need to write four numbers in a row On a number line. Repeat: (on a number line)

Verse 7 Start by plotting the two quartiles with the median in between Then draw a box around the three With the median in between. Repeat (With the median in between)

Verse 8 So, something that will make you feel Like you’re really smart. Is if you can remember that The box is 50 percent. Repeat (The box is 50 percent)

Verse 9 Hey, did you forget the important whisker part? My teacher said, “ That’s a sin!” You have to draw a line from the box A line that goes to the max and min Repeat: (A line that goes to the max and min)

Verse 10 Next, we need to remember that The data on each whisker part Makes 25 percent of the plot And now we’re truly smart. Repeat (Yes, now we’re truly smart)

Verse 11 So, that’s the end of our tale about a guy named Scott. NO, he really doesn’t exist. But now you can remember the steps Without writing a list. Repeat : (Without writing a list!)

Human Box and Whisker Plot  Everyone should have a post it note  Write your shoe size down on the post it note  Stick the post it note on the board  Put the numbers in order  Find the median, lower quartile, upper quartile, least, and greatest  Put the flags on the five numbers  Create the box and whiskers

Use the data to make a box-and-whisker plot Lower Extreme: Upper Extreme: Median = Lower Quartile = Upper Quartile = Example/Practice #1

Use the data to make a box-and-whisker plot Least = 22 Greatest = 42 Median = 31 Lower Quartile = 24 Upper Quartile = 38 Example/Practice #1

Use the data to make a box-and-whisker plot Lower Extreme= = Upper Extreme= Median = Lower quartile = Upper quartile = Example/Practice #2

Use the data to make a box-and-whisker plot =74 2 Least = 67 Greatest = 85 Median = 74 Lower quartile = = 68= 78 Upper quartile = 78 Example/Practice #2

Example/Practice #3

Example/Practice #4

More Practice

Closing  List 2 things you have learned about mean, median, mode, range, and box and whisker plots.