“Did you understand?” Jack asked. At this, Jacob said, “I understood what mode is. Give me any question, I can find the mode of the observations.” Jack smiled at him and said- “Okay, I will give you a question and 3 hrs to solve it.” Jacob felt strange as for finding mode, 3 minutes would be enough, why was he given 3 hrs? Then Jack gave the problem:

What is the mode of the following set of observations?

$\begin{matrix} 9 & 13 & 5 & 9 & 6 & 9 & 9 & 17 & 13 & 11 & 12 & 13 & 19 13 & 0 & 9 & 13 & 21 & 7 & 13 & 7 & 17 & 9 & 0 & 7 & 11 \end{matrix}$

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Both 9 and 13

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Solution

The correct option is D
Both 9 and 13

If we make an observation table for the data given in the question, we can get it as:

Here, 6 is the highest frequency and both 9 and 13 have the same frequency, i.e. 6. So, 9 and 13 both are the modes of this data set.

Note- A data set with 2 modes is called bimodal data set.

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