Finding the Mode


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In addition to finding the mean and median, there is a third method of computing an average or central tendancy. The mode is an alternative computation that takes the value in a set of numbers that occurs most often. Let's look at a set of numbers:

1, 4, 6, 5, 7, 4, 5, 5, 2

If we count how many times each number appears in the list we get:

1: appears 1 time
2: appears 1 time
4: appears 2 times
5: appears 3 times
6: appears 1 time
7: appears 1 time

As you can see the number 5 appears 3 times, which is more than any other number. In this particular set of values, 5 is the Mode.


Uniquness

The mode of a set of numbers in not always unique. Let's take another set of numbers and find the mode:

5, 5, 6, 7, 7

In this example both 5 and 7 appear twice, therefore this set of numbers has two modes: 5 and 7

When to Use Mode

Using the mode is useful when you are dealing with a categorical set of data points. One example may be: You are voting on a class president and have 4 candidates. The data set would be the number of votes each candidate received. The mode would be the highest number of votes. The mode then indicates who wins the election.



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