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QMS 230 (10)
Lecture

QMS 230 Lecture Notes - Papyrus 75


Department
Quantitative Methods
Course Code
QMS 230
Professor
Douglas Mc Kessock

Page:
of 2
QMS 102 Box and Whisker Diagram
Required
Min, Max, Q1, Median, Q3 {Five Number Summary}
Two parallel lines, Real and Scale
The Scale extends from at or just below the smallest value to or just beyond the the highest value. It should have some equally
spaced ticks.
Rectangular Box on the Real line from Q1 to Q3
Short, dark vertical line through the Real line, indicating the Median.
Compute the lower and upper inner fences.
Lower inner fence Q1-1.5*IQR
Upper inner fence Q3+1.5*IQR
Draw the left and right whiskers
Right Whisker -from Q3 up to the largest value less than or equal to the right inner fence.
Left Whisker - extends from Q1 down to the smallest value greater than or equal to or Q1-1.5*IQR.
Compute the lower and upper outer fences.
Lower outer fence Q1-3*IQR
Upper outer fence Q3+3*IQR
On the Real line mark Suspect Outliers, individual values between inner and outer fences, with an B marker and Outliers, individual
values beyond the outer fences an * symbol.
--------------------
* @@@@@@@@@@@@@@@@@@@@| | |@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@ B C
--------------------
+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+
10 20 30 40 50 60
Box and Whisker
QMS 102 Box and Whisker Diagram
Old Policy Min = 0
Max = 25
Q1= P25 = 5.25
Q3= P75 = 16.75
Median = 8.6
Interquartile Range = 11.5
Upper Inner Fence = Q3+1.5*IQR = 15.75+1.5(11.5) = 33
Lower Inner Fence = Q1-1.5*IQR = 5.25-1.5(11.5) = -12
Right Whisker -Largest value 25
Left Whisker - Smallest value = 0
Outliers - (- None. No values below -10 or above 30
Old Policy ------------------------
@@@@@@@@@@@@@@@@@@@@| | |@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
------------------------
+@@@@@@@@@@@@@@@+@@@@@@@@@@@@@+@@@@@@@@@@@@@@+@@@@@@@@@@@@@@+@@@@@@@@@@@@@@+
0 5 10 15 20 25
Avg. Daily Waits in Minutes
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