12-2 box and whisker plots · box and whisker plots smallest lower median upper maximum value...
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12-2
Box and Whisker Plots
Box and Whisker Plots
Data can be displayed in several ways.
Lists, tables and graphs are just some
of the ways.
Box and whisker plots also display data
in a way that can be very useful to us.
Box and Whisker Plots
Smallest lower median upper maximum
value quartile quartile value
whisker box whisker
Note that quartile sounds like quarter. Each quartile is one
Quarter or one fourth of the data.
Example
Consider these test scores:
50 60 63 71 83 83 85 87 90 98 99
These scores can be shown as a list or
we can display them in a box and
whisker plot.
Example
50 60 63 71 83 83 85 87 90 98 99
First find the median. Median =
Example
50 60 63 71 83 83 85 87 90 98 99
First find the median. Median = 83
Example
50 60 63 71 83 83 85 87 90 98 99
First find the median. Median = 83
To find the upper and lower quartiles,
find the median of the upper and lower
portions of the data.
Example
50 60 63 71 83 83 85 87 90 98 99
First find the median. Median = 83
To find the upper and lower quartiles,
find the median of the upper and lower
portions of the data.
The lower quartile is
Example
50 60 63 71 83 83 85 87 90 98 99
First find the median. Median = 83
To find the upper and lower quartiles,
find the median of the upper and lower
portions of the data.
The lower quartile is 63
Example 50 60 63 71 83 83 85 87 90 98 99
First find the median. Median = 83
To find the upper and lower quartiles,
find the median of the upper and lower
portions of the data.
The lower quartile is 63
The upper quartile is
Example 50 60 63 71 83 83 85 87 90 98 99
First find the median. Median = 83
To find the upper and lower quartiles,
find the median of the upper and lower
portions of the data.
The lower quartile is 63
The upper quartile is 90
Example 50 60 63 71 83 83 85 87 90 98 99
First find the median. Median = 83
To find the upper and lower quartiles,
find the median of the upper and lower
portions of the data.
The lower quartile is 63
The upper quartile is 90
The lowest value is
Example 50 60 63 71 83 83 85 87 90 98 99
First find the median. Median = 83
To find the upper and lower quartiles,
find the median of the upper and lower
portions of the data.
The lower quartile is 63
The upper quartile is 90
The lowest value is 50
Example 50 60 63 71 83 83 85 87 90 98 99
First find the median. Median = 83
To find the upper and lower quartiles, find the median of the upper and lower portions of the data.
The lower quartile is 63
The upper quartile is 90
The lowest value is 50
The maximum value is
Example 50 60 63 71 83 83 85 87 90 98 99
First find the median. Median = 83
To find the upper and lower quartiles, find the median of the upper and lower portions of the data.
The lower quartile is 63
The upper quartile is 90
The lowest value is 50
The maximum value is 99
Box and Whisker Plots
45 50 55 60 65 70 75 80 85 90 95 100
Median = 83
Box and Whisker Plots
45 50 55 60 65 70 75 80 85 90 95 100
Median = 83
Lower quartile = 63 Upper quartile = 90
Box and Whisker Plots
45 50 55 60 65 70 75 80 85 90 95 100
Median = 83
Lower quartile = 63 Upper quartile = 90
Lowest value = 50 Highest value = 99
Try This
12 13 14 15 16 17 18 19 20 21 22 23
What is the median?
Try This
12 13 14 15 16 17 18 19 20 21 22 23
What is the median? 18
What is the lower quartile?
Try This
12 13 14 15 16 17 18 19 20 21 22 23
What is the median? 18
What is the lower quartile? 16
What is the upper quartile?
Try This
12 13 14 15 16 17 18 19 20 21 22 23
What is the median? 18
What is the lower quartile? 16
What is the upper quartile? 21
What is the lowest value?
Try This
12 13 14 15 16 17 18 19 20 21 22 23
What is the median? 18
What is the lower quartile? 16
What is the upper quartile? 21
What is the lowest value? 13
Try This
12 13 14 15 16 17 18 19 20 21 22 23
What is the median? 18
What is the lower quartile? 16
What is the upper quartile? 21
What is the lowest value? 13
What is the highest value?
Try This
12 13 14 15 16 17 18 19 20 21 22 23
What is the median? 18
What is the lower quartile? 16
What is the upper quartile? 21
What is the lowest value? 13
What is the highest value? 22