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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?

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Solution

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.

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