box and whisker plot review...modified by r. acosta on 8/2/2011 to use as review for amdm/aqr. title...
TRANSCRIPT
07 Box & Whisker Review AQR1.notebook
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Title Page
Box and Whisker Plot ReviewA Five Number Summary
Definitions PracticeLabelingActivities
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Definitions
Definitions
Median
Lower Quartile Upper Quartile
Inner Quartile Range
Lower Extreme Upper Extreme
Outlier
Click on each word to view its definition.
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Outlier
Outlier: A data element that lies outside the normal distribution of the data.(IQR - Interquartile Range)
There are two types of outliers: 1. Mild Outlier > 1.5*IQR
2. Extreme Outlier > 3*IQR
Definitions
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Lower Extreme
Lower Extreme (minimum): The lowest value, not counting outliers, in a set of data; part of the five number summary.
Lower Extreme
Definitions
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Lower Quartile
Lower Quartile
Lower Quartile (Q1) = the value of the median of the lower 50% of the data, where 25% of the values are smaller than the lower quartile and 75% are greater than. In other words the lower quartile is the median of the lower 50% of the data.
Q1 = lower quartile = cuts off lowest 25% of data = 25th percentile
Definitions
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Median
Median (Q2): the middle value when a set of values are placed in numerical order. If there is an even number of values then the median is the mean of the middle two values (add the two middle terms and divide by two).
Med = Q2 = median = cuts data set in half = 50th percentile
Median
Definitions
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Interquartile Range
Interquartile Range (IQR): the value of the IQR is the difference of the 3rd and 1st quartile. The IQR contains approximately the middle 50% of the data points.
IQR = Q3 - Q1
Inner Quartile Range
Definitions
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Upper Quartile
Upper Quartile (Q3): the value of the median of the upper 50% of the data, where 25% of the values are greater than the upper quartile and 75% are less than. In other words the upper quartile is the median of the upper 50% of the data.
Q3 = upper quartile = cuts off highest 25% of data, or lowest 75% = 75th percentile
Upper Quartile
Definitions
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Upper Extreme
Upper Extreme (maximum): The highest value, not counting outliers, in a set of data.
Upper Extreme
Definitions
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sampleActivity P1
ActivityConstructing a Box & Whisker Plot
Collect the Data.Arrange in numerical order.Determine a scale.
65 70 75 80 85 90 95 100
80 80 80 85 90 95 98 95 95 75 70 65 65 80
NextNext
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Activity P2
ActivityConstructing a Box & Whisker Plot
Find the Min, Q1, Median (Q2), Q3 and Max.Identify the Five Number Summary.
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65 70 75 80 85 90 95 100
NextNext
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Activity P3
ActivityConstructing a Box & Whisker Plot
Above the number line, place dots to identify the Five Number Summary.Draw a Rectangle around the IQR, from Q1 to Q3.
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NextNext
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Activity P4
ActivityConstructing a Box & Whisker Plot
Above the number line, place dots to identify the Five Number Summary.Draw a Rectangle around the IQR, from Q1 to Q3.
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NextNext
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Activity P5
ActivityConstructing a Box & Whisker Plot
Draw a vertical line through the Median
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Activity P6
ActivityConstructing a Box & Whisker Plot
Draw a vertical line through the Median
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NextNext
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Activity P7
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52 54
59 61 68 78
82 85 87
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93 98 Pull
Pull
StepsSteps
When completed pull tab to check
Use the data below to construct a Box & Whisker PlotLabel the Five Number Summary and IQR
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Practice Labeling
Median
Lower QuartileUpper Quartile
Inner Quartile Range
Lower Extreme Upper Extreme UE
UQ LQ
LE
MedIQR
80 85 90 95 100 105 110 115 120 125
Next
Label the Box and Whisker Plot
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Practice Labeling 1
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Median
Lower QuartileUpper Quartile
Inner Quartile Range
Minimum Maximum Max
UQ LQ
Min
MIQR
Label the Box and Whisker Plot
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Printout
18 27 34 52 54 59 61 68 78 82 85 87 91 93 98
Use the data below to construct a Box & Whisker PlotLabel the Five Number Summary and IQR
Assessment
Acquired lesson from http://www.harveyshomepage.com/Harveys_Homepage/Welcome.html; Modified by R. Acosta on 8/2/2011 to use as review for AMDM/AQR.