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Finding Median of Grouped Data When Class Intervals Are Not Given

The median of...

Question

The median of the given data 6,8,9,15,x,29,25,21,22 is 18, find value of x ?

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Solution

Given data is $6, 8, 9, 15, x, 29, 25, 21, 22$
The ascending order of data excluding $x$ is $6, 8, 9, 15, 21, 22, 25, 29$
For median to be $18$ ,the middle element should be $18$ (as the data is odd)
So the only possibility is $x = 18$

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