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Question
Statement (1): For n number of data in a set, median = `(n/2)^(th)` term.
Statement (2): If n is even, median = `1/2[(n/2)^(th) "term" + (n/2 + 1)^(th) "term"]`.
Options
Both the statements are true.
Both the statements are false.
Statement 1 is true, and statement 2 is false.
Statement 1 is false, and statement 2 is true.
MCQ
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Solution
Statement 1 is false, and statement 2 is true.
Explanation:
Statement 1 is false because `(n/2)^(th)` term is only used to find the median when n is even, not as a general rule for any n (when n is odd, the median is `((n + 1)/2)^(th)` term). Statement 2 is completely true, as the median for an even number of observations is correctly given by the average of the `(n/2)^(th) and (n/2 + 1)^(th)` terms.
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