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.