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Question

If the median of x5,x4,x2,x and x3, where x > 0, is 8, find the value of x.

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Solution

Arranging the observations in ascending order, we have

x5,x4,x3,x2,x.

Thus, the median is x3.

x3=8x=3×8x=24

Thus, the value of x is 24.

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