मराठी

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"].

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प्रश्न

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"]`.

पर्याय

  • 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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उत्तर

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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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 18: Mean and Median [For Ungrouped Data Only] - TEST YOURSELF [पृष्ठ २६७]

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सेलिना Concise Mathematics [English] Class 9 ICSE
पाठ 18 Mean and Median [For Ungrouped Data Only]
TEST YOURSELF | Q 1. (e) | पृष्ठ २६७
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