Question

# The mode of the following data 15, 16, 17, 14, 17, 16, 13, x, 17, 16, 15, 15 is 17 then x is

A
15
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B
17
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C
16
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D
0
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Solution

## The correct option is A 15Mode is the most repeated observation in a given set of data.Given: The mode of the data is 15.Observations: 16,15,17,16,15,x,19,17,14.Let's arrange it in ascending order to make it more easier to observe!14,15,15,16,16,17,17,19,x.Now, we can see that the observations 15, 16, 17 and 19 are the most repeated ones (also in number of repetitions). But, it's given that the mode is 15 and not 16, 17 or 19. So it's only fair if x=15.Therefore,x=15

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