What is the value of the mode when all values in the data set are different?

Solution:

For a set of numbers, 'mode' refers to the most frequently occurring number.

Let's take the following datasets to calculate the mode

Example 1: A = {1, 4, 8, 11, 8, 7, 9, 8}

From the given dataset A, 8 has the highest frequency and hence, the mode is 8 as it is the highest occurring number.

Example 2: B = {1, 3, 4, 6, 7, 8, 11, 13}

From the given dataset B, every number is occurring only once, that is, there is no repetition. Therefore, the B doesn't have a mode.

Thus, no mode exists, if all the values in the data set are different.

What is the value of the mode when all values in the data set are different?

Summary:

There is no mode if all values in the data set are different.