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InterviewSolution
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If the median of the data: 6, 7, x − 2, x, 17, 20, written in ascending order, is 16. Then x = A. 15 B. 16 C. 17 D. 18 |
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Answer» Terms are 6, 7, x - 2, x, 17, 20 No of terms = 6 We know that, if even no of terms or observations are given, then the median of data is mean of the values of \((\frac{n}{2})^{th}\) term and \((\frac{n}{2}+1)^{th}\) term. Where n is no of terms. In this case, n = 6 \(\frac{n}{2}=3\) and \(\frac{n}{2}+1=4\) i.e. median of above data is mean of 3rd and 4th term ⇒ median \(=\frac{(\text{x-2})+\text{x}}{2}=\frac{\text{2x-2}}{2}\) ⇒ 16 = x - 1 [As median is 16] ⇒ x = 17 |
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