Explain box plot summary with example

Mumbai University > Information Technology > Sem6 > Data Mining and Business Intelligence

Marks: 10M

dmbi(26) • 1.4k  views

The box plot or box and whisker diagram is a standardized way of displaying the distribution of data based on the five number summary: minimum, first quartile, median, third quartile, and maximum. In the simplest box plot the central rectangle spans the first quartile to the third quartile (the interquartile range or IQR). A segment inside the rectangle shows the median and "whiskers" above and below the box show the locations of the minimum and maximum.

enter image description here

Example:- Data = 11,13,13,15,15,16,19,20,20,20,21,21,22,23,24,30,40,45,45,45,71,72,73,75

For plotting box plot divide the given data in 3 segments

First segment only contains median and other two segments will contain upper and lower part of median


upper segment =22,23,24,30,40,45,45,45,71,72,73,75

lower segment =11,13,13,15,15,16,19,20,20,20,21,21

Find out mean of each segment and mark it on graph as shown bellow and also mark actual median of data

median of upper segment =45

median of lower segment =17.5

plot the chart

enter image description here

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