Is it possible for a data set to have no mode?

Mode is the frequency of occurring events.

Answer: Yes. It is possible for a data set to have no mode. If the data set has no mode then mode cannot be used as a central tendency instead we can use mean and median as a measure of central. tendency.

Let us proceed step by step.

Explanation:

Here we need to understand first what is mode.

Let us proceed step by step.

1. The mode is the most commonly occurring value in the distribution.
2. The mode is one of the measures of central tendency.
3. To know the possibility of no mode in a data set, we need to verify it using one example.

Example: Let A = { 2, 4, 6, 8, 10, 12, 14, 16}

We see that set A has no repeating numbers.

Therefore, the set has no mode.

Hence we can say that, if the data set has no mode then mode cannot be used as a central tendency instead we can use mean and median as a measure of central tendency.