What is the mode if all the numbers are different?
For a set of numbers, 'mode' refers to the most frequently occurring number.
Answer: There is no mode if all the numbers in the set are different.
Let's look into some examples.
Let's take the following data sets to calculate the mode.
Example 1: 2, 3, 5, 6, 5, 7, 5
In the given data set, 5 has the highest frequency and hence the mode is 5.
Example 2: 5, 9, 1, 3, 7, 6, 8
In the given data set, every value is occurring once, and hence, there is no repetition. Therefore, the data set doesn't have a mode.
Thus, if all the numbers are different, then there is no mode for the given set of numbers.