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InterviewSolution
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Following 10 observations are arranged in ascending order as follows. 2, 3 , 5 , 9, x + 1, x + 3, 14, 16, 19, 20. If the median of the data is 11, find the value of x. |
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Answer» Given data in ascending order : 2, 3, 5, 9, x + 1, x + 3, 14, 16, 19, 20. ∴ Number if observations (n) = 10 (i.e., even) ∴ Median is the average of middle two observations Here, the 5th and 6th numbers are in the middle position. ∴ Median = \(\frac{(x+1)\,+\,(x+3)}{2}\) ∴ 11 = \(\frac{2x \,+ \,4}{2}\) ∴ 22 = 2x + 4 ∴ 22 – 4 = 2x ∴ 18 = 2x ∴ x = 9 |
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