Unit 1Chapter 7Section 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 quartile Upper quqrtileInterquartile range

Median Median

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:68 71 85 50 71 56 53 71 70 60 71 65 57

Box and Whisker Plot Brochure:Now, Let’s make a Box and Whisker Plot

Step Two:Circle the MedianStep Three:Circle the Lower Quartile and the Upper QuartileStep Four:Circle the Lower Extreme and the Upper Extreme

Heights in inches of all the cousins at a family reunion:68 71 85 50 71 56 53 71 70 60 71 65 57

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 valuesStep Seven:Use Lines to create your box and whisker plot!

Heights in inches of all the cousins at a family reunion:68 71 85 50 71 56 53 71 70 60 71 65 57

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:90 70 75 85 65 60 75 80 85 85 65 75 85 85

Closing What are the five key values? And, why

are they important?

Unit 1Chapter 7Section 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:

http://www.youtube.com/watch?v=cfR7qxtgCgY

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.

10 19 25 28 29 29 30 32 32 34 34 35 36 40 45 55 58 72

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.

10 19 25 28 29 29 30 32 32 34 34 35 36 40 45 55 58 72

Median: 33

Verse 4Now, 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 5Now, 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 6This 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 7Start 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 8So, 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 9Hey, 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 10Next, 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.

42 22 31 27 24 38 35

20 22 24 26 28 30 32 34 36 38 40 42

Lower Extreme:Upper Extreme:Median = Lower Quartile = Upper Quartile =

Example/Practice #1

Use the data to make a box-and-whisker plot.

42 22 31 27 24 38 35

22 24 27 31 35 38 42

20 22 24 26 28 30 32 34 36 38 40 42

Least = 22Greatest = 42Median = 31Lower Quartile = 24Upper Quartile = 38

Example/Practice #1

Use the data to make a box-and-whisker plot.

73 67 75 81 67 75 85 69

Lower Extreme= = Upper Extreme=

Median = Lower quartile =

64 66 68 70 72 74 76 78 80 82 84 86

Upper quartile =

Example/Practice #2

Use the data to make a box-and-whisker plot.

73 67 75 81 67 75 85 69

67 67 69 73 75 75 81 85+

=742

Least = 67Greatest = 85

Median = 74Lower quartile = 68

64 66 68 70 72 74 76 78 80 82 84 86

+ +22

= 68 = 78Upper quartile = 78

Example/Practice #2

Example/Practice #3

Example/Practice #4

More Practice

More Practice

Closing List 2 things you have learned about

mean, median, mode, range, and box and whisker plots.