Unimodal Example:

The following data shows the number of public libraries in a sample of eight states.

114

77

21

101

311

77

159

382

It is helpful to arrange the data in order, although it is not necessary!

21

77

77

101

114

159

311

382

Since 77 occurs twice, a frequency larger than that of any other number, the mode is 77!

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Bimodal Example:

The following data shows the number of licensed nuclear reactors in the United States for a recent 15-year period. 

104	104	104	104	104
109	109	109	109	109
107	111	112	111	110

Since the values 104 and 109 both occur 5 times (the most of any other value) the modes are 104 AND 109. The data set is said to be bimodal.

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No Mode Example:

The following data shows the number of patents secured for the top 5 companies for a specific year.

6180

4894

2821

2559

2483

Since each value occurs ONLY ONCE, there is NO mode.