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The mode of a data set is the value that appears most frequently. Here's how to find it:

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1. Arrange the data:

Organize the data points in ascending or descending order. This makes it easier to identify and count repetitions.

2. Count the frequencies:

For each value in the data set, count the number of times it appears.

3. Identify the mode:

The mode is the value with the highest frequency count.

Here are some additional points to remember:

A data set can have one mode, multiple modes (bimodal or multimodal), or no mode at all if all values appear the same number of times.

When a data set has multiple values with the highest frequency (tied for first place), it is called bimodal or multimodal.

For example, consider the data set: {3, 5, 5, 1, 2, 3, 5, 7}.

Arranging the data: {1, 2, 3, 3, 5, 5, 5, 7}

Counting frequencies:

1 appears once.

2 appears once.

3 appears twice.

5 appears three times.

7 appears once.

Identifying the mode: The mode is 5, as it appears the most frequently in the data set.
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