​ Interpret box-and-whisker plots

Mathematics
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 Interpret box-and-whisker plots i need help with it 

Aug 18th, 2015

Thank you for the opportunity to help you with your question!

let .. draw  a box-and-whisker plot for the following data set:

    4.3,  5.1,  3.9,  4.5,  4.4,  4.9,  5.0,  4.7,  4.1,  4.6,  4.4,  4.3,  4.8,  4.4,  4.2,  4.5,  4.4

    My first step is to order the set. This gives me:

    3.9,  4.1,  4.2,  4.3,  4.3,  4.4,  4.4,  4.4,  4.4,  4.5,  4.5,  4.6,  4.7,  4.8,  4.9,  5.0,  5.1

    The first number I need is the median of the entire set. Since there are seventeen values in this list, I need the ninth value:

    3.9,  4.1,  4.2,  4.3,  4.3,  4.4,  4.4,  4.4, 4.4, 4.5,  4.5,  4.6,  4.7,  4.8,  4.9,  5.0,  5.1

    The median is Q2 = 4.4.

    The next two numbers I need are the medians of the two halves. Since I used the "4.4" in the middle of the list, I can't re-use it, so my two remaining data sets are:

    3.9,  4.1,  4.2,  4.3,  4.3,  4.4,  4.4,  4.4 and  4.5,  4.5,  4.6,  4.7,  4.8,  4.9,  5.0,  5.1

    The first half has eight values, so the median is the average of the middle two:

      Q1 = (4.3 + 4.3)/2 = 4.3

    The median of the second half is: Copyright © Elizabeth Stapel 2004-2011 All Rights Reserved

      Q3 = (4.7 + 4.8)/2 = 4.75

Since  in list values have one decimal place and range from 3.9 to 5.1, I won't use a scale of, say, zero to ten, marked off by ones. Instead, I'll draw a number line from 3.5 to 5.5, and mark off by tenths.

my number line



Now I'll mark off the minimum and maximum values, and Q1,Q2, andQ3:
 and the "box" part of the plot goes fromQ1toQ3:
And then the "whiskers" are drawn to the endpoints:
Please let me know if you need any clarification. I'm always happy to answer your questions.
Aug 18th, 2015
drawing the 'box'   Q1    to   Q3 graph 


Aug 18th, 2015

what about percent


Aug 18th, 2015
drawing the 'whiskers'        whiskers graph 
Aug 18th, 2015
min, Q1, median, Q3, and max points marked off
mark off the minimum and maximum values, and Q1,Q2, andQ3

Aug 18th, 2015

i hope clear now ??


Aug 18th, 2015

ok thanks


Aug 18th, 2015

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