Post on 13-Apr-2017
Double Stem-Leaf Plot, Box-Whisker Plot
- Mr Kim
Before viewing this lesson, please view:
Finding Interquartile Range from Stem-Leaf Plot 1
Finding Interquartile Range from Stem-Leaf Plot 2
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Here’s an example of Double-Stem Leaf Plot
comparing two classes’ test results
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
We need to find the Median, Lower and
Upper Quartile, Lowest and Highest score to
draw a Box-Whisker Plot
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
To skip to drawing Box-Whisker Plot, go to
slide number 113
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Let’s look at Class B first
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
The Lowest score is…
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
The Lowest score is 51
Lowest Score: 51
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Lowest Score: 51
The Highest score is…
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Lowest Score: 51
The Highest score is 89
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Lowest Score: 51Highest Score:
89
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Lowest Score: 51Highest Score:
89Now, let’s find the Median
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Lowest Score: 51Highest Score:
89Remember the directions when crossing off
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Lowest Score: 51Highest Score:
89
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
“In”
Lowest Score: 51Highest Score:
89“Out”
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Lowest Score: 51Highest Score:
89
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
“In”
Lowest Score: 51Highest Score:
89“Out”
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Lowest Score: 51Highest Score:
89
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
“In”
Lowest Score: 51Highest Score:
89“Out”
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Lowest Score: 51Highest Score:
89
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
“In”
Lowest Score: 51Highest Score:
89“Out”
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Lowest Score: 51Highest Score:
89
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
“In”
Lowest Score: 51Highest Score:
89
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
“Out”
Lowest Score: 51Highest Score:
89
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Lowest Score: 51Highest Score:
89
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
So the Median is in between 60 and 62
which is …
Lowest Score: 51Highest Score:
89
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
So the Median is in between 60 and 62
which is 61
Lowest Score: 51Highest Score:
89
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Median: 61
Lowest Score: 51Highest Score:
89
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Median: 61Now find the Lower
Quartile
Lowest Score: 51Highest Score:
89
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Median: 61Don’t forget to divide
the sides correctly
Lowest Score: 51Highest Score:
89
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Median: 61Don’t forget to divide
the sides correctly
Lowest Score: 51Highest Score:
89
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Median: 61Find the Lower Quartile
Lowest Score: 51Highest Score:
89
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Median: 61“In”
Lowest Score: 51Highest Score:
89
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Median: 61“Out”
Lowest Score: 51Highest Score:
89
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Median: 61“In”
Lowest Score: 51Highest Score:
89
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Median: 61“Out”
Lowest Score: 51Highest Score:
89
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Median: 61
Lowest Score: 51Highest Score:
89
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Median: 61
So the Lower Quartile is in between 53 and 58
which is …
Lowest Score: 51Highest Score:
89
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Median: 61
So the Lower Quartile is in between 53 and 58
which is 55.5
Lowest Score: 51Highest Score:
89
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Median: 61Lower Quartile:
55.5
Lowest Score: 51Highest Score:
89
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Median: 61Lower Quartile:
55.5
Find the Upper Quartile
Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
“In”
Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
“Out”
Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
“In”
Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
“Out”
Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
So the Upper Quartile is in between 64 and 74
which is …
Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
So the Upper Quartile is in between 64 and 74
which is 69
Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Upper Quartile: 69
Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Upper Quartile: 69
Also note, Class B data is Positively Skewed
since…
Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Upper Quartile: 69
Also note, Class B data is Positively Skewed since
it’s leaning towards the Left
Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Upper Quartile: 69
Also note, Class B data is Positively Skewed since
it’s leaning towards the Left
Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Upper Quartile: 69
Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Upper Quartile: 69
Now let’s look at Class A
Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Upper Quartile: 69
Lowest score is…
Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Upper Quartile: 69
Lowest score is 51
Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Upper Quartile: 69
You read backwards
Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Upper Quartile: 69
Lowest Score: 51
Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Upper Quartile: 69
Lowest Score: 51
Highest score is…
Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Upper Quartile: 69
Lowest Score: 51
Highest score is 87
Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Upper Quartile: 69
Lowest Score: 51Highest Score:
87
Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Upper Quartile: 69
Lowest Score: 51Highest Score:
87 Now, let’s find the Median
Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Upper Quartile: 69
Lowest Score: 51Highest Score:
87 Remember the directions when crossing off
Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Upper Quartile: 69
Lowest Score: 51Highest Score:
87“In”
Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Upper Quartile: 69
Lowest Score: 51Highest Score:
87“Out”
Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Upper Quartile: 69
Lowest Score: 51Highest Score:
87“In”
Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Upper Quartile: 69
Lowest Score: 51Highest Score:
87“Out”
Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Upper Quartile: 69
Lowest Score: 51Highest Score:
87“In”
Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Upper Quartile: 69
Lowest Score: 51Highest Score:
87“Out”
Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Upper Quartile: 69
Lowest Score: 51Highest Score:
87“In”
Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Upper Quartile: 69
Lowest Score: 51Highest Score:
87“Out”
Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Upper Quartile: 69
Lowest Score: 51Highest Score:
87“In”
Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Upper Quartile: 69
Lowest Score: 51Highest Score:
87“Out”
Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Upper Quartile: 69
Lowest Score: 51Highest Score:
87“In”
Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Upper Quartile: 69
Lowest Score: 51Highest Score:
87“Out”
Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Upper Quartile: 69
Lowest Score: 51Highest Score:
87“In”
Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Upper Quartile: 69
Lowest Score: 51Highest Score:
87“Out”
Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Upper Quartile: 69
Lowest Score: 51Highest Score:
87
Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Upper Quartile: 69
Lowest Score: 51Highest Score:
87 So the Median is …
Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Upper Quartile: 69
Lowest Score: 51Highest Score:
87 So the Median is 74
Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Upper Quartile: 69
Lowest Score: 51Highest Score:
87Median: 74
Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Upper Quartile: 69
Lowest Score: 51Highest Score:
87Median: 74
Now find the Lower Quartile
Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Upper Quartile: 69
Lowest Score: 51Highest Score:
87Median: 74
Don’t forget to divide the sides correctly
Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Upper Quartile: 69
Lowest Score: 51Highest Score:
87Median: 74
Don’t forget to divide the sides correctly
Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Upper Quartile: 69
Lowest Score: 51Highest Score:
87Median: 74
Find the Lower Quartile
Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Upper Quartile: 69
Lowest Score: 51Highest Score:
87Median: 74 “In”
Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Upper Quartile: 69
Lowest Score: 51Highest Score:
87Median: 74 “Out”
Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Upper Quartile: 69
Lowest Score: 51Highest Score:
87Median: 74 “In”
Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Upper Quartile: 69
Lowest Score: 51Highest Score:
87Median: 74 “Out”
Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Upper Quartile: 69
Lowest Score: 51Highest Score:
87Median: 74 “In”
Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Upper Quartile: 69
Lowest Score: 51Highest Score:
87Median: 74 “Out”
Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Upper Quartile: 69
Lowest Score: 51Highest Score:
87Median: 74
Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Upper Quartile: 69
Lowest Score: 51Highest Score:
87Median: 74
So the Lower Quartile is…
Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Upper Quartile: 69
Lowest Score: 51Highest Score:
87Median: 74
So the Lower Quartile is 63
Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Upper Quartile: 69
Lowest Score: 51Highest Score:
87Median: 74
Lower Quartile: 63
Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Upper Quartile: 69
Lowest Score: 51Highest Score:
87Median: 74
Lower Quartile: 63
Find the Upper Quartile
Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Upper Quartile: 69
Lowest Score: 51Highest Score:
87Median: 74
Lower Quartile: 63
“In”
Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Upper Quartile: 69
Lowest Score: 51Highest Score:
87Median: 74
Lower Quartile: 63
“Out”
Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Upper Quartile: 69
Lowest Score: 51Highest Score:
87Median: 74
Lower Quartile: 63
“In”
Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Upper Quartile: 69
Lowest Score: 51Highest Score:
87Median: 74
Lower Quartile: 63
“Out”
Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Upper Quartile: 69
Lowest Score: 51Highest Score:
87Median: 74
Lower Quartile: 63
“In”
Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Upper Quartile: 69
Lowest Score: 51Highest Score:
87Median: 74
Lower Quartile: 63
“Out”
Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Upper Quartile: 69
Lowest Score: 51Highest Score:
87Median: 74
Lower Quartile: 63
Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Upper Quartile: 69
Lowest Score: 51Highest Score:
87Median: 74
Lower Quartile: 63
So the Upper Quartile is…
Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Upper Quartile: 69
Lowest Score: 51Highest Score:
87Median: 74
Lower Quartile: 63
So the Upper Quartile is 85
Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Upper Quartile: 69
Lowest Score: 51Highest Score:
87Median: 74
Lower Quartile: 63
Upper Quartile: 85
Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Upper Quartile: 69
Lowest Score: 51Highest Score:
87Median: 74
Lower Quartile: 63
Upper Quartile: 85
Also note, Class A data is Negatively Skewed
since…
Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Upper Quartile: 69
Lowest Score: 51Highest Score:
87Median: 74
Lower Quartile: 63
Upper Quartile: 85
Also note, Class A data is Negatively Skewed since
it’s leaning towards the Right
Lowest Score: 51 Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Upper Quartile: 69
Highest Score: 87
Median: 74Lower Quartile:
63Upper Quartile:
85
Also note, Class A data is Negatively Skewed since
it’s leaning towards the Right
Lowest Score: 51 Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Upper Quartile: 69
Highest Score: 87
Median: 74Lower Quartile:
63Upper Quartile:
85
If you find that confusing, since most of the scores
are on the higher end, it is Negatively Skewed
Lowest Score: 51 Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Upper Quartile: 69
Highest Score: 87
Median: 74Lower Quartile:
63Upper Quartile:
85
Lowest Score: 51 Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Class A Class B2 1 5 1 2 3 8 9
3 0 6 0 2 4 4
8 6 4 4 2 0 7 4 5
7 6 6 5 3 8 9
Upper Quartile: 69
Highest Score: 87
Median: 74Lower Quartile:
63Upper Quartile:
85
Now that we have our details, let’s draw our
Box-Whisker Plot
Lowest Score: 51 Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Upper Quartile: 69
Highest Score: 87
Median: 74Lower Quartile:
63Upper Quartile:
85
Lowest Score: 51 Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Upper Quartile: 69
Highest Score: 87
Median: 74Lower Quartile:
63Upper Quartile:
85
Our smallest number here is…
Lowest Score: 51 Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Upper Quartile: 69
Highest Score: 87
Median: 74Lower Quartile:
63Upper Quartile:
85
Our smallest number here is 51
Lowest Score: 51 Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Upper Quartile: 69
Highest Score: 87
Median: 74Lower Quartile:
63Upper Quartile:
85
And our biggest number is…
Lowest Score: 51 Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Upper Quartile: 69
Highest Score: 87
Median: 74Lower Quartile:
63Upper Quartile:
85
And our biggest number is 89
Lowest Score: 51 Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Upper Quartile: 69
Highest Score: 87
Median: 74Lower Quartile:
63Upper Quartile:
85
So we are going to draw a scale starting from 50
Lowest Score: 51 Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Upper Quartile: 69
Highest Score: 87
Median: 74Lower Quartile:
63Upper Quartile:
85
So we are going to draw a scale starting from 50
50
Lowest Score: 51 Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Upper Quartile: 69
Highest Score: 87
Median: 74Lower Quartile:
63Upper Quartile:
85
50
And go up by 5s until we reach 90
Lowest Score: 51 Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Upper Quartile: 69
Highest Score: 87
Median: 74Lower Quartile:
63Upper Quartile:
85
And go up by 5s until we reach 90
50
55
Lowest Score: 51 Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Upper Quartile: 69
Highest Score: 87
Median: 74Lower Quartile:
63Upper Quartile:
85
And go up by 5s until we reach 90
50
55
60
Lowest Score: 51 Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Upper Quartile: 69
Highest Score: 87
Median: 74Lower Quartile:
63Upper Quartile:
85
And go up by 5s until we reach 90
50
55
60
65
70
Lowest Score: 51 Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Upper Quartile: 69
Highest Score: 87
Median: 74Lower Quartile:
63Upper Quartile:
85
And go up by 5s until we reach 90
50
55
60
65
70
75
80
85
90
Lowest Score: 51 Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Upper Quartile: 69
Highest Score: 87
Median: 74Lower Quartile:
63Upper Quartile:
85
50
55
60
65
70
75
80
85
90
Lowest Score: 51 Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Upper Quartile: 69
Highest Score: 87
Median: 74Lower Quartile:
63Upper Quartile:
85
Now, let’s start with the Right side
50
55
60
65
70
75
80
85
90
Lowest Score: 51 Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Upper Quartile: 69
Highest Score: 87
Median: 74Lower Quartile:
63Upper Quartile:
85
50
55
60
65
70
75
80
85
90
Put a line on 51 on the scale above
Lowest Score: 51 Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Upper Quartile: 69
Highest Score: 87
Median: 74Lower Quartile:
63Upper Quartile:
85
50
55
60
65
70
75
80
85
90
Put a line on 51 on the scale above
Lowest Score: 51 Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Upper Quartile: 69
Highest Score: 87
Median: 74Lower Quartile:
63Upper Quartile:
85
50
55
60
65
70
75
80
85
90
Because 51 is about there
Lowest Score: 51 Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Upper Quartile: 69
Highest Score: 87
Median: 74Lower Quartile:
63Upper Quartile:
85
50
55
60
65
70
75
80
85
90
Now, put a line on 89
Lowest Score: 51 Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Upper Quartile: 69
Highest Score: 87
Median: 74Lower Quartile:
63Upper Quartile:
85
50
55
60
65
70
75
80
85
90
Now, put a line on 89
Lowest Score: 51 Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Upper Quartile: 69
Highest Score: 87
Median: 74Lower Quartile:
63Upper Quartile:
85
50
55
60
65
70
75
80
85
90
Now put a bigger line on 55.5
Lowest Score: 51 Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Upper Quartile: 69
Highest Score: 87
Median: 74Lower Quartile:
63Upper Quartile:
85
50
55
60
65
70
75
80
85
90
Now put a bigger line on 55.5
Lowest Score: 51 Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Upper Quartile: 69
Highest Score: 87
Median: 74Lower Quartile:
63Upper Quartile:
85
50
55
60
65
70
75
80
85
90
As well as on 61
Lowest Score: 51 Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Upper Quartile: 69
Highest Score: 87
Median: 74Lower Quartile:
63Upper Quartile:
85
50
55
60
65
70
75
80
85
90
As well as on 61
Lowest Score: 51 Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Upper Quartile: 69
Highest Score: 87
Median: 74Lower Quartile:
63Upper Quartile:
85
50
55
60
65
70
75
80
85
90
And 69
Lowest Score: 51 Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Upper Quartile: 69
Highest Score: 87
Median: 74Lower Quartile:
63Upper Quartile:
85
50
55
60
65
70
75
80
85
90
And 69
Lowest Score: 51 Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Upper Quartile: 69
Highest Score: 87
Median: 74Lower Quartile:
63Upper Quartile:
85
50
55
60
65
70
75
80
85
90
And finally, connect the lines
Lowest Score: 51 Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Upper Quartile: 69
Highest Score: 87
Median: 74Lower Quartile:
63Upper Quartile:
85
50
55
60
65
70
75
80
85
90
And finally, connect the lines
Lowest Score: 51 Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Upper Quartile: 69
Highest Score: 87
Median: 74Lower Quartile:
63Upper Quartile:
85
50
55
60
65
70
75
80
85
90
And finally, connect the lines
Lowest Score: 51 Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Upper Quartile: 69
Highest Score: 87
Median: 74Lower Quartile:
63Upper Quartile:
85
50
55
60
65
70
75
80
85
90
And finally, connect the lines
Lowest Score: 51 Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Upper Quartile: 69
Highest Score: 87
Median: 74Lower Quartile:
63Upper Quartile:
85
50
55
60
65
70
75
80
85
90
That’s one Box-Whisker Plot complete
Lowest Score: 51 Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Upper Quartile: 69
Highest Score: 87
Median: 74Lower Quartile:
63Upper Quartile:
85
50
55
60
65
70
75
80
85
90
Now, let’s do the Left side
Lowest Score: 51 Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Upper Quartile: 69
Highest Score: 87
Median: 74Lower Quartile:
63Upper Quartile:
85
50
55
60
65
70
75
80
85
90
Repeat the same steps
Lowest Score: 51 Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Upper Quartile: 69
Highest Score: 87
Median: 74Lower Quartile:
63Upper Quartile:
85
50
55
60
65
70
75
80
85
90
But draw the lines above the Box-Whisker
Plot
Lowest Score: 51 Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Upper Quartile: 69
Highest Score: 87
Median: 74Lower Quartile:
63Upper Quartile:
85
50
55
60
65
70
75
80
85
90
Put a line on 51
Lowest Score: 51 Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Upper Quartile: 69
Highest Score: 87
Median: 74Lower Quartile:
63Upper Quartile:
85
50
55
60
65
70
75
80
85
90
Put a line on 51
Lowest Score: 51 Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Upper Quartile: 69
Highest Score: 87
Median: 74Lower Quartile:
63Upper Quartile:
85
50
55
60
65
70
75
80
85
90
Put a line on 87
Lowest Score: 51 Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Upper Quartile: 69
Highest Score: 87
Median: 74Lower Quartile:
63Upper Quartile:
85
50
55
60
65
70
75
80
85
90
Put a line on 87
Lowest Score: 51 Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Upper Quartile: 69
Highest Score: 87
Median: 74Lower Quartile:
63Upper Quartile:
85
50
55
60
65
70
75
80
85
90
Bigger line on 63
Bigger line on 63
Lowest Score: 51 Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Upper Quartile: 69
Highest Score: 87
Median: 74Lower Quartile:
63Upper Quartile:
85
50
55
60
65
70
75
80
85
90
Lowest Score: 51 Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Upper Quartile: 69
Highest Score: 87
Median: 74Lower Quartile:
63Upper Quartile:
85
50
55
60
65
70
75
80
85
90
And 74
And 74
Lowest Score: 51 Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Upper Quartile: 69
Highest Score: 87
Median: 74Lower Quartile:
63Upper Quartile:
85
50
55
60
65
70
75
80
85
90
Lowest Score: 51 Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Upper Quartile: 69
Highest Score: 87
Median: 74Lower Quartile:
63Upper Quartile:
85
50
55
60
65
70
75
80
85
90
And 85
Lowest Score: 51 Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Upper Quartile: 69
Highest Score: 87
Median: 74Lower Quartile:
63Upper Quartile:
85
50
55
60
65
70
75
80
85
90
And 85
Lowest Score: 51 Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Upper Quartile: 69
Highest Score: 87
Median: 74Lower Quartile:
63Upper Quartile:
85
50
55
60
65
70
75
80
85
90
And finally, connect the lines
Lowest Score: 51 Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Upper Quartile: 69
Highest Score: 87
Median: 74Lower Quartile:
63Upper Quartile:
85
50
55
60
65
70
75
80
85
90
And finally, connect the lines
Lowest Score: 51 Lowest Score: 51Highest Score:
89Median: 61
Lower Quartile: 55.5
Upper Quartile: 69
Highest Score: 87
Median: 74Lower Quartile:
63Upper Quartile:
85
50
55
60
65
70
75
80
85
90
And that’s how you draw Double Box-Whisker Plot from Double Stem-Leaf
Plot!