How do you create a box plot for the data set {1, 12, 2, 9, 2, 3, 7, 3, 3, 6)?

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Answer 1 · 2017-05-16T00:10:46

The raw data is:

${1, 12, 2, 9, 2, 3, 7, 3, 3, 6}$

First we arrange in ascending order:

${1, 2, 2, 3, 3, 3, 6, 7, 9, 12}$

We the calculate the media, $Q_2$ , which is the middle value, and as we have an even number of data points will be an average:

$Q_2 = 1/2(3+3) = 3$

Similarly we calculate the lower and upper quartiles:

$Q_1 = 2$
$Q_3 = 7$

So then we have enough information to draw the box and whisker diagram:
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