It really depends on the data set and what you are trying to do with it. Here is a brief explanation of each of these statistical measures:

Mean: The mean is the average of a set of numbers. It is calculated by adding up all the numbers in a data set and dividing by the number of items in the set.
Median: The median is the middle value in a data set. To find the median, you need to first order the data set from least to greatest, and then find the value that is in the middle of the set. If there is an even number of items in the data set, the median is the average of the two middle numbers.
Mode: The mode is the most common value in a data set. It is the value that appears most often in the data set.

In general, the mean is a good measure of central tendency when the data set is continuous and symmetrical. The median is a good measure when the data set is skewed or has outliers. And the mode is a good measure when the data set is categorical.

Here are some examples of scenarios where one of these measures might be better suited than the others:
If you are analyzing the heights of a group of people, the mean would be a good measure to use because height is a continuous variable and it is unlikely that there are any extreme outliers in the data set.
If you are analyzing the ages of a group of people, the median would be a better measure to use because age is a continuous variable and it is likely that there are some extreme outliers in the data set (e.g. very young or very old individuals).
If you are analyzing the favorite colors of a group of people, the mode would be the best measure to use because the color is a categorical variable and there is no inherent order to the values.

It's important to note that these are just general guidelines, and the best measure to use really depends on the specific data set and what you are trying to do with it. In some cases, it might be appropriate to use multiple measures to get a more complete picture of the data.