The numbers are 47, 55, 46, 64, 69, and 52.....

What is the mode?...I can't figure this out because I thought the mode was the number that appears most often. Thank you.

Yes. The mode is the number that appears most often. Your set of numbers has no mode.

if all the values occur equally, there is no mode

To find the mode, which is the number that appears most often in a given set of numbers, you can perform the following steps:

1. Arrange the numbers in ascending order: 46, 47, 52, 55, 64, 69.
2. Count the frequency of each number:

- The number 46 appears once.
- The number 47 appears once.
- The number 52 appears once.
- The number 55 appears once.
- The number 64 appears once.
- The number 69 appears once.

3. Since none of the numbers appear more than once, there is no number that occurs most frequently. Therefore, the set of numbers you have has no mode.

In this case, all the numbers occur only once, and none of them repeats more than the others, so there is no mode in this set. It's important to note that a set of numbers can have no mode, one mode (unimodal), or multiple modes (multimodal), depending on how frequently numbers appear.