Box Plots

Box Plots

Multiple Choice

Which one was median?

• The total divided by the # of values

• The middle value after organizing your data from least to greatest

• The most common value

• The largest value - The smallest value

Fill in the Blanks

What is the median of this data?

1, 2, 3, 4, 5, 6, 7

Fill in the Blanks

What is the median of this data?

2, 4, 6, 8

The following is two different class' list of test scores

• The following is two different class' list of test scores

• Class 1: 40, 50, 60, 70, 70, 70, 70

• Class 2: 70, 70, 70, 70, 80, 90, 100

• The median accomplishes it's goal of telling you where most of the data is. But two really different lists of data can have the same median. So it'd be nice to have more information.

The following is two different class' list of test scores

• Class 1: 40, 50, 60, 70, 70, 70, 70

• Class 2: 70, 70, 70, 70, 80, 90, 100

• The Median of the Class 1 is 70

• The Median of Class 2 is 70

• But which class did better overall?

• How do you know?

The following is two different class' list of test scores

• Class 1: 40, 50, 60, 70, 70, 70, 70

• Class 2: 70, 70, 70, 70, 80, 90, 100

• The Median of both classes is 70

• The range of Class 1 is 30

• The Range of class 2 is 30

• The range of Class 1 is the same as Class 2

• Would you be able to know which class did better with just the median and range?

Multiple Choice

What is the Median of this box plot?

• 100

• 75

• 85

• 105

• 115

Multiple Choice

What is the Median of this Box Plot?

• 42

• 46

• 50

• 56

• 58

Multiple Choice

What is the Median of this Box Plot?

• 75

• 100

• 125

• 175

• 225

Multiple Choice

What is the Minimum of this box plot?

• 100

• 75

• 85

• 105

• 115

Multiple Choice

What is the Minimum of this Box Plot?

• 42

• 46

• 50

• 56

• 58

Multiple Choice

What is the Maximum of this Box Plot?

• 75

• 100

• 125

• 175

• 225

How the Box Plot is Made

• Notice that there are 4 parts.

• 2 whiskers, and 2 parts of the box

• We call each part a quarter (25%)

• So each whisker is 25%, and each part of the box is 25%

What is the Lower Quartile?

• Given the data 1, 2, 3, 4, 5, 6, 7, what is the median?

• The median divides the data in half. Half of the data is bigger than the median, half is smaller.

• To find the Lower Quartile, look at the smaller half of the data

• 1, 2, 3

• The Lower Quartile is the median of the smaller half.

• What is the median of 1, 2, 3?

• So the Lower Quartile of 1, 2, 3, 4, 5, 6, 7 is 2.

Multiple Choice

What is the Lower Quartile of this box plot?

• 100

• 75

• 85

• 105

• 115

Multiple Choice

What is the Lower Quartile of this Box Plot?

• 42

• 46

• 50

• 56

• 58

Multiple Choice

What is the Lower Quartile of this Box Plot?

• 75

• 100

• 125

• 175

• 225

Multiple Choice

What is the Upper Quartile of this box plot?

• 100

• 75

• 85

• 105

• 115

Multiple Choice

What is the Upper Quartile of this Box Plot?

• 42

• 46

• 50

• 56

• 58

Multiple Choice

What is the Upper Quartile of this Box Plot?

• 75

• 100

• 125

• 175

• 225

Multiple Choice

What is the Inner Quartile Range of this box plot?

Hint: Inner Quartile Range = Upper Quartile - Lower Quartile

• 20

• 75

• 85

• 40

• 115

Multiple Choice

What is the Inner Quartile Range of this box plot?

Hint: Inner Quartile Range = Upper Quartile - Lower Quartile

• 42

• 46

• 50

• 10

• 58

Multiple Choice

What is the Inner Quartile Range of this box plot?

Hint: Inner Quartile Range = Upper Quartile - Lower Quartile

• 75

• 100

• 125

• 175

• 225

Poll

How Do You feel about box plots?

• Everything makes sense here

• I kind of get it, but I need more practice

• I was good, but you lost me somewhere along the line

• I'm completely lost