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Lesson 3 Box and whisker plot
Warm up1)
2)
3)
4)
Lesson 3 Box and whisker plot
Lesson 3 Box and whisker plot
measures of variation
quartiles
first quartile
third quartile
interquartile range
range
outliers
Box and Whisker Video
Lesson 3 Box and whisker plot
Box and Whisker Plot ReviewA Five Number Summary
Definitions PracticeLabelingActivities
http://www.youtube.com/watch?v=Wjnr0AZPMBU
Lesson 3 Box and whisker plot
Definitions
Median
Lower Quartile Upper Quartile
Inner Quartile Range
Lower Extreme Upper Extreme
Outlier
Click on each word to view its definition.
Lesson 3 Box and whisker plot
Outlier: A data element that lies outside the normal distribution of the data (IQR - Interquartile Range)
Definitions
A number is mathematically an outlier if it is 1.5 times the IQR (1.5 ∙ IQR) beyond the quartiles.
It's either (1.5∙IQR) below the first quartile
first quartile – (1.5∙IQR)
Or (1.5∙IQR) above the third quartile
third quartile + (1.5∙IQR)
Lesson 3 Box and whisker plot
Lower Extreme (minimum): The lowest value, not counting outliers, in a set of data; part of the five number summary.
Lower Extreme
Definitions
Lesson 3 Box and whisker plot
Lower Quartile
Lower Quartile (Q1) = the median of the lower half of data (not including the median!)
Q1 = lower quartile = cuts off lowest 25% of data = 25th percentile
Definitions
Lesson 3 Box and whisker plot
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
Lesson 3 Box and whisker plot
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
Lesson 3 Box and whisker plot
Upper Quartile (Q3): median of the upper half of data (not including the median!)
Q3 = upper quartile = cuts off highest 25% of data, or lowest 75% = 75th percentile
Upper Quartile
Definitions
Lesson 3 Box and whisker plot
Upper Extreme (maximum): The highest value, not counting outliers, in a set of data.
Upper Extreme
Definitions
Lesson 3 Box and whisker plot
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
Lesson 3 Box and whisker plot
ActivityConstructing a Box & Whisker Plot
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
NextNext
Lesson 3 Box and whisker plot
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.
65 70 75 80 85 90 95 100
NextNext
Lesson 3 Box and whisker plot
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.
65 70 75 80 85 90 95 100
NextNext
Lesson 3 Box and whisker plot
ActivityConstructing a Box & Whisker Plot
Draw a vertical line through the Median
65 70 75 80 85 90 95 100
NextNext
Lesson 3 Box and whisker plot
ActivityConstructing a Box & Whisker Plot
Draw a vertical line through the Median
65 70 75 80 85 90 95 100
NextNext
Lesson 3 Box and whisker plot
18
27 34
52 54
59 61 68 78
82 85 87
91
93 98
Pull
Pull
98
StepsSteps
Arrange them in numerical order.Identify the Five Number Summary.Draw a Rectangle around the Interquartile Range.Draw a vertical line through the Median.
When completed pull tab to check
Use the data below to construct a Box & Whisker PlotLabel the Five Number Summary and IQR
Lesson 3 Box and whisker plot
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
Lesson 3 Box and whisker plot
30 35 40 45 50 55 60 65 70 75
Median
Lower QuartileUpper Quartile
Inner Quartile Range
Minimum Maximum Max
UQ LQ
Min
MIQR
Label the Box and Whisker Plot
Lesson 3 Box and whisker plot
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
Lesson 3 Box and whisker plot
37 28 19 30 11 51
30 91 88 92.5 4.5 65
Lesson 3 Box and whisker plot
Lesson 3 Box and whisker plot
3,4,5,5,6,7,12 6,8,10,11,13,17,18
23,28,28,29,30,30,34,34,36104,104,106,108,110,114,120,122,130,140
2. 3.
4. 5.
Notes (Reteach) Answers
IQR: 6
1.5 x 6 = 9
109 = 1
16+9 = 25
Q1 Q3 27 is beyond 25 so 27 is an outlier.
Lesson 3 Box and whisker plot
Lesson 3 Box and whisker plot
Answers
Lesson 3 Box and whisker plot
