Finding the mode

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When finding the mode of a set a data, first put the data in order from least to greatest although it is not necessary to do so.

Then, Look for the most occurring item(s) or number(s)

For example,

Find the mode of the following set:

15, 14, 8, 15, 16

The mode is 15 because it shows up twice

Other examples:

8, 5, 8, 2, 1, 8, 4

The mode is 8 because it occurs 3 times.

Sometimes, sets may have more than one mode as the following sets show

2, 4, 3, 4, 5, 6, 7, 8, 10, 6

Put the set in order

2, 3, 4, 4, 5, 6, 6, 7, 8, 10

The set above has 2 modes because both 4 and 6 occurred twice.

10, 15, 13, 11, 13, 16, 13, 10, 15, 14, 15, 18, 11, 20, 9, 11, 12

After putting the set in order, we get:

9, 10, 10, 11, 11, 11, 12, 13, 13, 13, 14, 15, 15, 15, 16, 18, 20

Here, we have 3 mode because 11, 13, and 15 occurred 3 times.

Notice, and it is very important, that 10 is not a mode although it occurs twice.

It is because 10 is not among the most occurring numbers like 13, which occurred 3 times.

Finding the median