Q.If the data arranged in ascending order is 6, 9, 11, 12, x+2, x+3, 17, 20, 21, 24 and the median is 21, then the value of x will be — (a) 13.5 (b) 15.5 (c) 18.5 (d) 21.5
Answer: C
\(n = 10\) ∴ Median = \(\cfrac{1}{2}\) (5th term + 6th term) \(= \cfrac{1}{2}(x + 2 + x + 3) = \cfrac{2x + 5}{2}\) \(\therefore\) According to the condition, \(\cfrac{2x + 5}{2} = 21\) Or, \(2x + 5 = 42\) Or, \(2x = 37\) Or, \(x = 18.5\)
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