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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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:

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

This data is already in ascending order:

We the calculate the media, $Q_{2}$ $Q_2$ , which is the middle value, and as we have an odd number of data points we can just write this down:

$Q_{2} = 51$ $Q_2 = 51$

Similarly we calculate the lower and upper quartiles, which are data values corresponding to $25^{t h}$ $25^(th)$ and $75^{t h}$ $75^(th)$ percent respectively

$Q_{1} = 46$ $Q_1 = 46$
$Q_{3} = 55$ $Q_3 = 55$

So then we have enough information to draw the box and whisker diagram:
enter image source here

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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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