Question

The number of dresses sold on $15$ consecutive days are as follows:


What value must $x$ take to make the given data set bimodal ?

• A. $5$
• B. $10$
• C. $7$
• D. None of the above.

Answer 1

The correct option is C $7$

The data set with two modal values is said to be bimodal.

Observe the given data,


Here, $5$ is the most frequently occuring value.

Now, to make the given data set bimodal, there should be one more value that occurs as frequently as the value $5$.

Again observe the given data,


The value $7$ occurs thrice in the given data set. Thus, to make the given data set bimodal, $7$ must occur four times, i.e., the value of $x$ should be $7$.

Hence, to make the data set bimodal, the value of $x$ must be $7$.