Answer :

Given:  The mode of the data: 16, 15, 17, 16, 15, x, 19, 17, 14 is 15.

To find: The value of x.

Solution: As we know, mode of any data is the observation which occurs most.

In this case, 17 occurs two times which implies 17 is the mode.

But it is given that 15 is the mode of data.

In order for 15 to be mode it has to occur more than 2 times.

As 15 is already occurring 2 times, the possibility of it occurring more than 2 times is that x should be 15.

⇒ x = 15

Hence, correct option is (B).

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