Box and Whisker Plot Review...Modified by R. Acosta on 8/2/2011 to use as review for AMDM/AQR. Title...

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


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


Find the Min, Q1, Median (Q2), Q3 and Max.Identify the Five Number Summary.

80 80 80 85 90 95 98 95 95 75 70 65 65 80

65 70 75 80 85 90 95 100

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Activity P3


Above the number line, place dots to identify the Five Number Summary.Draw a Rectangle around the IQR, from Q1 to Q3.

65 70 75 80 85 90 95 100

NextNext


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Activity P4


Above the number line, place dots to identify the Five Number Summary.Draw a Rectangle around the IQR, from Q1 to Q3.

65 70 75 80 85 90 95 100

NextNext


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Activity P5


Draw a vertical line through the Median

65 70 75 80 85 90 95 100

NextNext


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Activity P6


Draw a vertical line through the Median

65 70 75 80 85 90 95 100

NextNext


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Activity P7

18

27 34

52 54

59 61 68 78

82 85 87

91

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


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

30 35 40 45 50 55 60 65 70 75

Median

Lower QuartileUpper Quartile


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.

Box and Whisker Plot Review...Modified by R. Acosta on 8/2/2011 to use as review for AMDM/AQR. Title...

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