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Question

Numbers 50, 42, 35, 2x + 10, 2x − 8, 12, 11, 8, 6 are written in descending order and their median is 25, find x.

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Solution

Here, the number of observations n is 9. Since n is odd , the median is the n+12th observation, i.e. the 5th observation.
As the numbers are arranged in the descending order, we therefore observe from the last.
Median = ​5th observation.
25 = 2x -8
2x = 25 +8
2x = 33
x = 332
x = 16.5
Hence, ​x = 16.5.

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