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Box-and-Whisker Plots
We are learning to…create and analyze Box-and-Whisker plots.
Box-and-Whisker Plot Vocabulary
Median – The middle number of a set of data.
Upper Quartile – The median of the data values that are
greater than the median of the total data set.
Lower Quartile – The median of the data values that are
less than the median of the total data set.
Maximum– The highest number in a set of data
Minimum- The lowest number in a set of data
Range- the difference between the minimum and
maximum.
Inter-Quartile Range – the difference between the upper
and lower quartile of a set of data
Box-and-Whisker Plot Practice
Make a box-and-whisker plot using the following set of data:
19, 18, 9, 4, 15
Step #1: Put the numbers in order from least to greatest:
4, 9, 15, 18, 19
Step #2:
Find the median of your data.
Step #3:
Draw a number line.
Step #4: Draw 2 dots- 1 dot above the minimum value of your data and 1 dot above the maximum
value of your data.
Step #5:
Draw a vertical line at the median.
Step #6:
Find the median of the first half of the data and draw a vertical line.
Step #7:
Find the median of the second half of the data and draw a vertical line.
Step # 8
Draw two horizontal lines to complete your box
Box-and-Whisker Plot Practice
There are 12 people are in a Habanera Pepper eating contest who ate the
following amount of peppers:
4, 4, 4, 9, 15, 2, 5, 0, 10, 12, 1, 18
Put the numbers in order from least to greatest:
0, 1, 2, 4, 4, 4, 5, 9, 10, 12, 15, 18
BELOW THE MEDIAN
(4.5)
ABOVE THE MEDIAN
(13.5)
Discussion Question:
Why are all of the Boxes and Whiskers different sizes?
How to find the: Inter-Quartile Range
Inter-Quartile Range – the difference between the upper
and lower quartile of a set of data.
Inter-Quartile Range = Upper Quartile – Lower Quartile
Show where you could find the inter-quartile range on the
box-and-whisker plot below:
INTER-QUARTILE RANGE
Evaluation Questions
Colby graphed some data as shown in this box-and-whisker plot.
Which statement is true about Colby’s data?
A.
B.
C.
D.
1
The range of the data is 25.
One-half of the data is below 65.
The median of the data is 60.
Three-fourths of the data is
below 90.
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18
Which of the following is not true about the box-and-whisker plot shown below?
A.
B.
C.
D.
1
The inter-quartile range is 8
The upper quartile is -2.
The median of the data is 1.
The lower extreme is -9.
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