##### ​ Interpret box-and-whisker plots

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

Aug 18th, 2015

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

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.

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:
Aug 18th, 2015
Q1    to   Q3 graph

Aug 18th, 2015

Aug 18th, 2015
whiskers graph
Aug 18th, 2015
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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Aug 18th, 2015
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Aug 18th, 2015
Oct 24th, 2017
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