Histogram Math Example 3

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Example 3

easy
A histogram has bars at intervals [0,10),[10,20),[20,30),[30,40)[0,10), [10,20), [20,30), [30,40) with frequencies 5, 12, 8, 3. What is the total number of data points, and which interval contains the mode?

Solution

  1. 1
    Total data points: 5+12+8+3=285 + 12 + 8 + 3 = 28
  2. 2
    The interval with the highest frequency is [10,20)[10,20) with frequency 12, so this is the modal class

Answer

28 total data points; modal class is [10,20)[10,20).
The total area (sum of frequencies × width) of a histogram equals the total count. The modal class is the interval with the tallest bar. When data is grouped, we report the modal class, not a single mode value.

About Histogram

A histogram is a bar chart of a frequency distribution where bars represent count or density of data within consecutive equal-width intervals (bins).

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More Histogram Examples

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Example 4 hard

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