**When all values occur with equal frequency, there is no mode.**

**Explanation:**
The mode is a measure of central tendency that represents the value or values that occur most frequently in a dataset. It is the value that appears with the highest frequency.

When all values occur with equal frequency, it means that each value in the dataset occurs an equal number of times. In such a scenario, there is no value that occurs more frequently than others, and therefore there is no mode.

To understand this concept better, let's consider an example. Suppose we have a dataset of exam scores for a class of students:

**Example:**
10, 20, 30, 40, 50, 60

In this example, each value occurs only once, and they all occur with equal frequency. Therefore, there is no mode in this dataset.

**Significance of the Mode:**
The mode is a useful measure of central tendency as it helps identify the most common or popular values in a dataset. It is particularly helpful when working with categorical or discrete data, where the values represent distinct categories or groups.

However, in cases where all values occur with equal frequency, the mode loses its significance as there is no value that stands out as being more common than others.

**Other Measures of Central Tendency:**
In situations where there is no mode, other measures of central tendency such as the mean and median can still be calculated and used to describe the dataset.

- **Mean:** The mean is the average of all the values in the dataset. It is calculated by summing up all the values and dividing by the total number of values. For the example dataset mentioned earlier (10, 20, 30, 40, 50, 60), the mean would be (10+20+30+40+50+60)/6 = 33.33.

- **Median:** The median is the middle value in a dataset when it is arranged in ascending or descending order. In the example dataset, the median would be 35, which is the value between 30 and 40.

Both the mean and median provide additional insights into the central tendency of a dataset, even when there is no mode.