![]() Since there is an equal amount of data in each group, each of those sections represents 25% of the data. This plot is broken into four different groups: the lower whisker, the lower half of the box, the upper half of the box, and the upper whisker. Draw a box from Q1 to Q3 with a line dividing the box at Q2. Then extend "whiskers" from each end of the box to the extreme values. It should stretch a little beyond each extreme value. Create a number line that will contain all of the data values. Find the extreme values: these are the largest and smallest data values. ![]() Find the median of the data greater than Q2. ![]() Step 3: Find the median of the data less than Q2. Step 1: Order the data from least to greatest. Let's start by making a box-and-whisker plot (also known as a "box plot") of the geometry test scores we saw earlier:ĩ0, 94, 53, 68, 79, 84, 87, 72, 70, 69, 65, 89, 85, 83, 72 Extreme Values – the smallest and largest values in a data set.IQR – interquartile range, the difference from Q3 to Q1.Q3 – quartile 3, the median of the upper half of the data set.Q2 – quartile 2, the median of the entire data set.Q1 – quartile 1, the median of the lower half of the data set.There are a few important vocabulary terms to know in order to graph a box-and-whisker plot. It's a nice plot to use when analyzing how your data is skewed. The box-and-whisker plot doesn't show frequency, and it doesn't display each individual statistic, but it clearly shows where the middle of the data lies. Complementary & Mutually Exclusive Eventsīox-and-whisker plots are a handy way to display data broken into four quartiles, each with an equal number of data values.
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