How do you make a boxplot from the data 37, 42, 44, 46, 47, 49, 51, 53, 54, 55, 57, 61, 63?

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Answer 1 · 2017-05-18T00:37:32

The raw data is:

# {37, 42, 44, 46, 47, 49, 51, 53, 54, 55, 57, 61, 63} #

This data is already in ascending order:

We the calculate the media, #Q_2#, which is the middle value, and as we have an odd number of data points we can just write this down:

# Q_2 = 51 #

Similarly we calculate the lower and upper quartiles, which are data values corresponding to #25^(th)# and #75^(th)# percent respectively

# Q_1 = 46 #
# Q_3 = 55 #

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