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Published byGerard Walsh Modified over 8 years ago

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Quartiles + Box and Whisker Plots

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Quartiles Step 1: Find the Median. This is called Q2, or the second quartile. Step 2: Split the first half into 2 equal groups (same rules as finding the median). The middle value is called Q1, or the first quartile. Step 3: Find median of top half of numbers (Q3). You have split the numbers into 4 quarters.

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12, 15, 18, 24, 26, 29, 30, 32 Q2 = average of 24 and 26 Q2 = 25

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12, 15, 18, 24, 26, 29, 30, 32 Q2 = 25 Q1 = 16.5Q3 = 29.5

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Box and Whisker Plot 1) Draw a number line from the lowest to highest value 2) Draw a line above Q1, Q2 and Q3 10 12 14 16 18 20 22 24 26 28 30 32

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Box and Whisker Plot 2)Draw a line above Q1, Q2 and Q3 3) Attach lines to make the “box” 10 12 14 16 18 20 22 24 26 28 30 32

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Box and Whisker Plot 2) Draw a line above Q1, Q2 and Q3 3) Attach lines to make the “box” 10 12 14 16 18 20 22 24 26 28 30 32

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Box and Whisker Plot 4) Draw a line over the minimum and maximum values 5) Draw “whiskers” 10 12 14 16 18 20 22 24 26 28 30 32

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Example 6, 8, 12, 14, 17, 19, 21, 24, 25 Q2 Q1 = 10 Q3 = 22.5

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Measures of Dispersion Variation Interval: [Xmin, Xmax] 100% of data in this interval Range: Xmax – Xmin Interquartile Interval: [Q1, Q3] 50% of data in this interval Interquartile Range: Q3 – Q1

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