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Question

# The following observation are arranged in ascending order. If the median of the data is 17, find x if the observations are 6,8,9,15,x,x+2,21,22,25,29.

A
x=11
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B
x=13
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C
x=15
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D
x=16
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Solution

## The correct option is C x=16The observations are: 6,8,9,15,x,x+2,21,22,25,29The number of observations are 10. Since, the observations are even, the median will be the mean of n2 and n2+1 observationsmedian = mean of 102 and 10+22 observationsmedian = mean of 5th and 6th observationsmedian = x+x+2217=x+1x=16

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