Question

The number of cars sold on $20$ consecutive days in a state are as follows:

What value must $x$ and $y$ take to make the given data set trimodal?

Answer 1

A data set with three modal values is said to be trimodal.

Observing the given data, we have:


Here, $125$ is the most frequently occuring value.

Now, to make the given data set trimodal, there should be two more value that occurs as frequently as the value $125$.

Observing the given data, we have:


The values $983$ and $435$ occur thrice in the given data set. Thus, to make the given data set trimodal, $983$ and $435$ must occur four times, i.e., the values of $x$ and $y$ should be $435$ and $983$ or $983$ and $435$, respectively.