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InterviewSolution
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If 35 is removed from the data: 30, 34, 35, 36, 37, 38, 39, 40, then the median increases by A. 2 B. 1.5 C. 1 D. 0.5 |
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Answer» Given series is, 30, 34, 35, 36, 37, 38, 39, 40 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,no of terms,n = 8 \(\frac{n}{2}=4\) and \(\frac{n}{2}+1=5\) i.e. median of above data is mean of 4th and 5th term In this case, 4th term = 36 5th term = 37 ⇒ median \(=\frac{36+37}{2}=\frac{73}{2}\) ⇒ median = 37.5 If 35 is removed, the series will be 30, 34, 36, 37, 38, 39, 40 No of terms = 7 We know that if there are odd number of terms in a data, then the median of data is \((\frac{n+1}{2})^{th}\) term. Where n is no of terms n = 7 \(\Rightarrow \frac{n+1}{2}=4\) median = 4th term = 37 Difference in both medians = 37.5 - 37 = 0.5 Hence, median increases by 0.5. |
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