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# Chap03 - Chapter 3 Graphs the visual display of data 1 It's...

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1 Chapter 3 Graphs: the visual display of data

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2 It’s often useful to graph a set of data in various ways in order to better understand its structure Humans often think visually Not a mathematical technique, but a helpful precursor to the actual analysis.
3 We will examine five kinds of graphs: 1. Box-and-Whisker plots 2. Cumulative frequencies 3. Absolute frequencies 4. Relative frequencies 5. Histograms

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4 Box and whisker plots Useful when you have multiple samples from each of several individuals (or groups of individuals) E.g., a year of quiz scores from each of 10 students. Two years’ of test scores from the Frosh, Sophomores, Juniors and seniors.
5 Making a Box-and-Whisker Plot Step 1: In each category, order the data from smallest to largest {4, 8, 4, -2, 0, 20, 3, 4, -1, -.5}

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6 Making a Box-and-Whisker Plot Step 1: In each category, order the data from smallest to largest {4, 8, 4, -2, 0, 20, 3, 4, -1, -.5} {-2, -1, -.5, 0, 3, 4, 4, 4, 8, 20 }
7 Making a Box-and-Whisker Plot Step 2: for each category, determine the median : If there are an odd number of data, pick the middle datum; If there are an even number of data, pick the two “middle-est” data points, and take their average.

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8 Making a Box-and-Whisker Plot Step 2: for each category, determine the median : { -2, -1, -.5, 0, 3, 4, 4, 4, 8, 20 }
9 Making a Box-and-Whisker Plot Step 2: for each category, determine the median : { -2 , -1, -.5, 0, 3, 4, 4, 4, 8, 20 }

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10 Making a Box-and-Whisker Plot Step 2: for each category, determine the median : { -2 , -1 , -.5, 0, 3, 4, 4, 4, 8 , 20 }
11 Making a Box-and-Whisker Plot Step 2: for each category, determine the median : { -2 , -1 , -.5 , 0, 3, 4, 4, 4 , 8 , 20 }

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