Measures of variation Box and whisker plot.notebook 1 February 06, 2015 May 205:22 PM BoxandWhisker Plots A boxandwhisker plot uses a number line to show the distribution of a set of data. The box is drawn around the quartile values, and the whiskers extend from each quartile to the extreme data points that are not outliers.
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Measures of variation Box and whisker plot.notebook
1
February 06, 2015
May 205:22 PM
BoxandWhisker Plots
A boxandwhisker plot uses a number line to show the distribution of a set of data. The box is drawn around the quartile values, and the whiskers extend from each quartile to the extreme data points that are not outliers.
Measures of variation Box and whisker plot.notebook
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2, 3, 5, 6, 8, 9, 12, 12, 13
2 4 6 8 10 12 14
• First, be sure your data is arranged from least to greatest.
• Now you are ready to construct the actual box & whisker graph. You will need to draw an ordinary number line that extends far enough in both directions to include all the numbers in your data.
Example:
Measures of variation Box and whisker plot.notebook
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• A boxandwhisker uses a number line to show the distribution of a set of data. • The box is drawn around the quartile values• The whiskers extend from each quartile to the extreme data points that are not outliers.
Measures of variation Box and whisker plot.notebook
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Feb 158:44 PM
Find the median of the entire set.
2, 3, 5, 6, 8, 9, 12, 12, 13
Measures of variation Box and whisker plot.notebook
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Medianof entire set
2, 3, 5, 6, 8, 9, 12, 12, 13
2 4 6 8 10 12 14
Measures of variation Box and whisker plot.notebook
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Medianof entire set
2, 3, 5, 6, 8, 9, 12, 12, 13
2 4 6 8 10 12 14
Measures of variation Box and whisker plot.notebook
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Feb 158:53 PM
Find the median of the lower half - lower quartile.
2, 3, 5, 6, 8, 9, 12, 12, 13
Measures of variation Box and whisker plot.notebook
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Apr 307:58 PM
2, 3, 5, 6, 8, 9, 12, 12, 13Median
of entire set
Median of lower halfLower Quartile
2 4 6 8 10 12 14
Measures of variation Box and whisker plot.notebook
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February 06, 2015
Apr 307:58 PM
2, 3, 5, 6, 8, 9, 12, 12, 13Median
of entire set
Median of lower half
4Lower Quartile
2 4 6 8 10 12 14
Measures of variation Box and whisker plot.notebook
10
February 06, 2015
Feb 158:53 PM
Find the median of the upper half - upper quartile.
2, 3, 5, 6, 8, 9, 12, 12, 13
Measures of variation Box and whisker plot.notebook
11
February 06, 2015
Apr 307:58 PM
2, 3, 5, 6, 8, 9, 12, 12, 13Median
of entire set
Median of lower halfMedian of upper half
12
Upper Quartile
4Lower Quartile
2 4 6 8 10 12 14
Measures of variation Box and whisker plot.notebook
12
February 06, 2015
Apr 307:58 PM
2, 3, 5, 6, 8, 9, 12, 12, 13Median
of entire set
Median of lower half Median of upper half
12
Upper Quartile
4Lower Quartile
2 4 6 8 10 12 14
Measures of variation Box and whisker plot.notebook
13
February 06, 2015
Apr 307:58 PM
2, 3, 5, 6, 8, 9, 12, 12, 13Median
of entire set
Median of lower half Median of upper half
12
Upper Quartile
4Lower Quartile
2 4 6 8 10 12 14
Measures of variation Box and whisker plot.notebook
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Feb 158:54 PM
The whiskers are the smallest and largest numbers - except when there are outliers.
2, 3, 5, 6, 8, 9, 12, 12, 13
Measures of variation Box and whisker plot.notebook
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2, 3, 5, 6, 8, 9, 12, 12, 13Median
of entire setLeast Value
Median of lower half Median of upper half
4 12
Lower Quartile Upper Quartile
2 4 6 8 10 12 14
Measures of variation Box and whisker plot.notebook
16
February 06, 2015
Apr 307:58 PM
2, 3, 5, 6, 8, 9, 12, 12, 13Median
of entire setLeast Value
Median of lower half Median of upper half
4 12
Lower Quartile Upper Quartile
2 4 6 8 10 12 14
Measures of variation Box and whisker plot.notebook
17
February 06, 2015
Apr 307:58 PM
2, 3, 5, 6, 8, 9, 12, 12, 13Median
of entire setLeast Value
Median of lower half Median of upper half
4 12
Lower Quartile Upper Quartile
2 4 6 8 10 12 14
Measures of variation Box and whisker plot.notebook
18
February 06, 2015
Apr 307:58 PM
2, 3, 5, 6, 8, 9, 12, 12, 13Median
of entire setGreatestValue
Least Value
Median of lower half Median of upper half
4 12
Lower Quartile Upper Quartile
2 4 6 8 10 12 14
Measures of variation Box and whisker plot.notebook
19
February 06, 2015
Apr 307:58 PM
2, 3, 5, 6, 8, 9, 12, 12, 13Median
of entire setGreatestValue
Least Value
Median of lower half Median of upper half
4 12
Lower Quartile Upper Quartile
2 4 6 8 10 12 14
Measures of variation Box and whisker plot.notebook
20
February 06, 2015
Apr 307:58 PM
2, 3, 5, 6, 8, 9, 12, 12, 13Median
of entire setGreatestValue
Least Value
Median of lower half Median of upper half
4 12
Lower Quartile Upper Quartile
2 4 6 8 10 12 14
Measures of variation Box and whisker plot.notebook
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NOTE: Boxandwhisker plots separate data into four parts. Even though the parts may differ in length, each part contains 1/4 (25%) of the data.
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Label ActivityLabel ActivityLower Quartile
Greatest Value
Upper Quartile
Least Value Median
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0 10 20 30 40 50 60 8070 90 100
1. What is the median of the data represented in the graph? a) 35 b) 75 c) 65 d) 55
2. What is the Upper Quartile? a) 65 b) 70 c) 85 d) 75
3. What is the minimum value according to this graph? a) 13 b) 35 c) 17 d) 100
Quick
Check
Measures of variation Box and whisker plot.notebook
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Feb 67:39 AM
Draw and label a Box and Whisker Plot for each.
range: 10
median: 16
upper quartile: 19
lower quartile: 12
interquartile range: 7
outliers: no outliers
10, 12, 15, 16, 17, 19, 20 Least to greatest:
Measures of variation Box and whisker plot.notebook