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Find the mode

The mode is the value or category occurring most frequently in a finite data set, identified by comparing frequencies in a list, frequency table, dot plot, or similar representation. A data set may have one mode, multiple modes tied for greatest frequency, or no mode when all frequencies are equal; the mode describes frequency, not the largest or smallest value. Grouped-data and more advanced distributional analyses are not included.

Detailed Explanation: Find the mode

The mode is the value or category that appears most often in a data set. To find it:

  1. List the different values.
  2. Count how many times each value appears.
  3. Identify the value with the greatest frequency, or number of occurrences.

Example: Find the mode of the data set:

3, 5, 2, 5, 4, 3, 5, 2, 53,\ 5,\ 2,\ 5,\ 4,\ 3,\ 5,\ 2,\ 5

Count each value:

ValueNumber of times it appears
2222
3322
4411
5544

The greatest frequency is 44, and the value with a frequency of 44 is 55.

Therefore, the mode is:

5\boxed{5}

Remember, the mode is the value that occurs most often, not necessarily the greatest value.

Learn by doing: Find the mode

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Statistics - Solve for Mode


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