What Are Box Plots?

A box plot gives you a simple overview of five of the most important values in statistics: Minimum value, first quartile (Q1), median, third quartile (Q3) and maximum value. Between the first and third quartiles you draw a box. The opposite sides represent the quartiles. You draw a line through the middle of the box, representing the median. The length of the box is the interquartile range. You draw a line down from the bottom of the box to the minimum value and a line up from the top of the box to the maximum value. A box plot is therefore a visualization of the dispersion in the data.

Example 1

You are to make a box plot of the following data:

1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6

1,1,2,2,2,3,3,3,4,4,4,5,5,6,6,6

You will then need:

1.
minimum value = 1
2.
maximum value = 6
3.
median = 3+4 2 = 3.5
4.
Q1 = 2
5.
Q3 = 5

The box plot looks like this:

Boxplot from data

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