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# 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.

- The mode is the most commonly occurring value in the distribution.
- The mode is one of the measures of central tendency.
- 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.

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