Question

For what value of $p$, the mode of the following data is $5$?

$1,2,5,7,5,2,7,5,9,2,3,p,11.$

Answer 1

Find the value of $p$

Arranging the data in a sequence for convenience:

$p,1,2,2,2,3,5,5,5,7,7,9,11$

Given that mode of the given set of data is $5$. For $5$ to be the mode of the given set, it has to be repeated maximum number of times according to the definition.

So, $p$ essentially needs to be $5$ to meet the criteria.

Therefore, $p=5$.

Hence, the value of $p$is $5$