# Basic Arithmetic : Mode

## Example Questions

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### Example Question #62 : How To Find Mode

Find the mode of the following set of numbers: .

and

and

and

Explanation:

The mode of any set of numbers is the number that occurs the most often in set. In order to find the mode, it's easiest to start by arranging the numbers in the set from least to greatest. The set of numbers we were given is

In order from least to greatest, this set looks like:

Now that our numbers are in order, it's easier for us to see if there are any numbers that show up more than once. In this case, both  and  appear in the set two times, and every other number in the set appears only one time. Since  and  appear an equal number of times in the set as the other does, they are both considered to be modes of the set.

So, there are two modes for our set: , and .

### Example Question #62 : Basic Statistics

What is the mode of this class's state exam results if the scores are the following?

Explanation:

The mode is the number that appears most often in your set. In this case we will be looking at which score appears most often.

This is one simple way of organizing data to indicate the mode. Each number that appeared in the data set was written down. Each "X" written above each number indicates each time it was present in the set. We see that 87 appeared most often. Therefore, 87 is the mode of the data set.

### Example Question #21 : Mode

You take a quiz in class and are shown the results of 10 students. There were 8 questions and the score is given as 1-8. Find the mode of the following results: