Question 54

If mode of the following data is 14, then what is the value of k?
k, 8, 9, (k-1), 11, 12, 12, 15, (k-1), 14

Solution

Given Data

k, 8, 9, (k-1), 11, 12, 12, 15, (k-1), 14

The mode is 14.

i.e 14 is repeating maximum number of times,

now, 12 is repeating two time, so 14 should repeat minimum 3 times

therefore, From the options most appropriate value of k = 15

then, the New data is,

15, 8, 9, 14, 11, 12, 12, 15, 14, 14.

Hence, Option C is correct.

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If mode of the following data is 14, then what is the value of k?k, 8, 9, (k-1), 11, 12, 12, 15, (k-1), 14