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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