If the numbers 50, 42, 35, (2x+10), (2x-8), 12, 11, 8 are in descending order and their median is 25, then the value of 'x' is
A
12
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B
13
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C
24
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Solution
The correct option is A 12 Given that the numbers 50, 42, 35, (2x+10), (2x-8), 12, 11, 8 are in descending order. Since, there are 8 terms in the given set, so the median will be the average of 4th and 5th terms. Here, the 4th term is 2x+ 10 and 5th term is 2x-8. ∴ Median = (2x+10)+(2x−8)2 = (4x+2)2 = 2x + 1 Given, median of the data is 25 ∴ 2x + 1= 25 ⇒ 2x = 24 ⇒ x = 12