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Mode

If the mode o...

Question

If the mode of 12 16 19 16 x 12 16 19 12 is 16 , then find the value of x .

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Solution

Mode of a given set of observations or numbers is that observation with highest frequency or repeats itself the most number of times.

The set of numbers is
12, 16, 19, 16, x, 12, 16, 19, 12.
Its mode is given as 16.

In the data

12 occurs 3 times

16 occurs 3 times

19 occurs 2 times

In order for 16 to become the mode, 16 should occur atleast 4 times. Therefore, the value of x in the given data is 16.

x=16

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