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Published byDoris Fletcher Modified over 9 years ago

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Histograms, Frequency Polygons, and Ogives

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Histogram: A graph that displays data by using contiguous vertical bars.

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Organize Data, Prepare Table Limit BoundaryNumber 10 – 19 9.5 – 19.56 20 – 29 19.5 – 29.58 30 – 39 29.5 – 39.515 40 – 49 39.5 – 49.511 50 – 59 49.5 – 59.57 60 – 69 59.5 – 69.53 70 – 79 69.5 – 79.51

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Plot the Mid Points 9.519.529.539.549.559.569.579.5

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Frequency Polygon: A graph that displays the data by using lines that connect points plotted for the frequencies at the midpoints of the classes.

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Plot the Mid Points 9.519.529.539.549.559.569.579.5

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Connect the dots, bring down to the x axis

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Ogive: A graph that displays the cumulative frequencies for the classes in a frequency distribution.

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Organize Data, Prepare Table Limit BoundaryNumber Cumulative 10 – 19 9.5 – 19.56 20 – 29 19.5 – 29.5 8 14 30 – 39 29.5 – 39.515 29 40 – 49 39.5 – 49.511 40 50 – 59 49.5 – 59.57 47 60 – 69 59.5 – 69.53 50 70 – 79 69.5 – 79.51 51

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Plot the upper boundary points 9.5 19.5 29.5 39.5 49.5 59.5 69.5 79.5

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Connect the dots, start at zero 9.5 19.5 29.5 39.5 49.5 59.5 69.5 79.5

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Relative Frequency Graphs Use relative frequencies when the proportion of data values that fall into a given class is more important than the actual number of data values that fall into the class. Example: Compare age distributions in New York City and Elysburg.

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Note that percentages are used. Ages

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Distribution Shapes

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More Distribution Shapes

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