The data set 3, 3, 3, 4, 4, 4, 5, 5, 5 is shown. Does this data set have a mode? why or why not?

http://www.mathsisfun.com/mode.html

Is there a score which appears most often?

No answer

To determine if a data set has a mode, you need to identify the value or values that appear most frequently. In this case, the data set 3, 3, 3, 4, 4, 4, 5, 5, 5 has multiple values that occur with the same frequency. To find the mode, you should count the frequency of each value. Here's how you can do it:

1. Start by sorting the data set in ascending order: 3, 3, 3, 4, 4, 4, 5, 5, 5
2. Count the frequency of each value:
- The value 3 appears three times.
- The value 4 also appears three times.
- The value 5 appears three times as well.

Since all three values (3, 4, and 5) occur with the same frequency, this data set is said to have multiple modes. In this case, the modes are 3, 4, and 5.

By following these steps, you can determine if a data set has a mode and find the mode(s) if they exist.