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Calculate the mode

The mode is the data value or category occurring most often, found by counting frequencies in a list, frequency table, line plot, or bar graph; a data set may have one mode, more than one mode tied for greatest frequency, or no mode when no value occurs more often than another. This understanding distinguishes frequency from numerical size and supports comparing and interpreting data sets, without extending to continuous-distribution or inferential treatments of mode.

Detailed Explanation: Calculate the mode

The mode is the data value or category that occurs most often.

To find the mode:

  1. Look at each value in the data.
  2. Count how many times each value appears.
  3. Find the greatest frequency, or largest count.
  4. The value with that count is the mode.

Example: Find the mode of this data set:

4, 2, 5, 4, 3, 2, 44,\ 2,\ 5,\ 4,\ 3,\ 2,\ 4

Count each value:

ValueFrequency
22
31
43
51

The greatest frequency is 33. The value that occurs 33 times is 44.

The mode is 4\boxed{\text{The mode is }4}

Remember, the mode is based on how often a value appears, not on which value is largest.

Learn by doing: Calculate the mode

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Statistics - Solve for Mode


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