# Lecture - Five Number Summary The five number summary of a...

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11 Five Number Summary The five number summary of a data set consists of the minimum value, the first quartile, the second quartile, the third quartile and the maximum value written in that order: Min, Q1, Q2, Q3, Max. From the three quartiles we can obtain a measure of central tendency (the median, Q2 ) and measures of variation of the two middle quarters of the distribution, Q2-Q1 for the second quarter and Q3-Q2 for the third quarter.

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22 The weekly TV viewing times (in hours). 25 41 27 32 43 66 35 31 15 5 34 26 32 38 16 30 38 30 20 21 The array of the above data is given below: 5 15 16 20 21 25 26 27 30 30 31 32 32 34 35 37 38 41 43 66 Five Number Summary
33 Hrs 22.0 21} - 0.25{25 21 obs.} 5th - obs. 0.25{6th obs. 5th ; Q1 of VALUE obs. 5.25th data in the obs. th 4 1) 1(20 ; Q1 of LOCATION = + = + = + Five Number Summary Hrs 30.5 30} - 0.50{31 0 3 obs.} 10th - obs. 0.50{11th obs. th 10 ; Q2 of VALUE obs. th 50 . 10 data in the obs. th 4 1) 2(20 ; 2 Q of LOCATION = + = + = + Minimum value=5.0 Maximum value=66.0 Hrs 36.5 35} - 0.75{37 35 obs} 15th - obs {16th 75 . 0 obs 15th ; 3 Q of VALUE obs. 15.75th data in the obs. th 4 1) 3(20 ; 3 Q of LOCATION = + = + = +

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Box and Whisker Diagram A box and whisker diagram or box-plot is a graphical mean for displaying the five number summary of a set of data. In a box-plot the first quartile is placed at the lower hinge and the third quartile is placed at the upper hinge. The median is placed in between these two hinges. The
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Lecture - Five Number Summary The five number summary of a...

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