If the mode of the data: 16, 15, 17, 16, 15, x, 19, 17, 14 is 15, then x =

(a) 15
(b) 16
(c) 17
(d) 19

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Solution

Value 14 15 16 17 19 x

Frequency 1 2 2 2 1 1

It is given that the mode of the data is 15. So, it is the observation with the maximum frequency.

This is possible only when x = 15. In this case, the frequency of 15 would be 3.

Hence, the correct answer is (a).

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Value	14	15	16	17	19	x
Frequency	1	2	2	2	1	1