Q.13 Match List-I with List-II
| List-I | List-II |
|---|---|
| (Statistical Terminology) | (Definition) |
| (A) Median | (I) The reciprocal of the average of reciprocals of the values of items of a series. |
| (B) Mean | (II) The value of the middle item of series when it is arranged in ascending or descending order of magnitude. |
| (C) Mode | (III) The value obtained by dividing the total of the values of various given items in a series by the total number of items. |
| (D) Harmonic mean | (IV) The most commonly or frequently occurring value in a series. |
Choose the correct answer from the options given below:
- (A) – (I), (B) – (II), (C) – (III), (D) – (IV)
- (A) – (II), (B) – (III), (C) – (IV), (D) – (I)
- (A) – (I), (B) – (II), (C) – (IV), (D) – (III)
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The correct answer is (A) – (II), (B) – (III), (C) – (IV), (D) – (I).
This matching question tests core statistical measures of central tendency from List-I to their definitions in List-II.
Option Breakdown
Correct Matches
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(A) Median – (II): The middle value when data is sorted ascending or descending.
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(B) Mean – (III): Sum of values divided by the number of items (arithmetic average).
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(C) Mode – (IV): Most frequent value in the dataset.
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(D) Harmonic mean – (I): Reciprocal of the average of reciprocals.
Why Other Choices Fail
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First option: Wrongly assigns Median to Harmonic mean definition.
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Third option: Mismatches Mean to Mode’s frequency definition.
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Fourth option: Confuses Median with Mean’s arithmetic definition.(A) – (III), (B) – (IV), (C) – (I), (D) – (II)
Statistical terminology mean median mode harmonic mean definitions form the foundation of central tendency measures in exams like GATE Life Sciences statistics sections.
Core Definitions Table
Term Matched Definition (Correct) Formula Example Median Middle item in sorted series (II) For {3,1,4,1,5}: 3 Mean Total values ÷ number of items (III) xˉ=∑xn Mode Most frequent value (IV) {2,2,3,4}: Mode=2 Harmonic Mean Reciprocal of reciprocals average (I) HM=n∑(1/xi) These matches appear consistently across statistical resources, making the second option correct for competitive exams.
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