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Instructor: The most common graph used
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to represent numerical data is the histogram.
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First, we'll learn how to create it,
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and then we'll provide a description
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of the way the data is represented.
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We are going to use the frequency distribution table
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from our previous example to help us out.
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Here it is.
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As you can see, it looks like a bar chart
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but actually conveys very different information.
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As in the bar chart,
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the vertical axis is of numerical type
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and shows the absolute frequency.
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This time though, the horizontal axis is numerical too.
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All right, so each bar has width equal to the interval,
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and height equal to the frequency.
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Notice how the different bars are touching.
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This is to show that there is continuation
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between the intervals.
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Each interval ends where the next one starts.
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In the bar chart,
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different bars represented different categories,
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so the bars were completely separate.
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Okay, sometimes, it is useful to plot the intervals
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against the relative
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rather than the absolute frequency.
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As you can see,
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the histogram looks the same visually
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but gives different information to the audience.
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Remember, relative frequency is made up of percentages.
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There is no way to do that in Excel
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but is a useful piece of information.
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There is one last thing to note here.
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We may create a histogram with unequal intervals.
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An example is designing age groups.
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You've likely completed some survey
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where you were asked about your age
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and the possible answers were 18 to 25,
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then 26 to 30, 31 to 35,
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and so on until 60 plus.
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Clearly, the interval widths vary
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and reflect different focus groups
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for the experiment at hand.
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An explanation for the choice may be
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young adults under 25 cannot afford the product,
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while adults over 60 have no interest in the product.
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In any case, you should be quite experienced
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to accurately design and interpret such groups.
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It is highly recommended
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that you stick with the equal width intervals
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until you gain enough experience.
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Okay, great.
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This is how we can build a histogram
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in order to represent numerical data.
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Thanks for watching.
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