Paper 1 · Research Aptitude
UGC NET December 2023 (13.12.2023) Shift-II
For an ideal normal distribution, the median would be equivalent to which of the following measures? Choose the most appropriate answer from the options given below.
- 1. Second quartile
- 2. Mean
- 3. 50th percentile
- 4. Mode
- 5. 5th percentile
A1, 2 and 3 only
B1, 2 and 4 only
C1, 2, 3 and 4 only ✓ Correct
D1, 2, 3, 4 and 5
Correct answer: (C) 1, 2, 3 and 4 only — In a normal distribution the median equals the second quartile, the mean, the 50th percentile and the mode, so the answer is 1, 2, 3 and 4.
Explanation
★In a normal distribution the median equals the second quartile, the mean, the 50th percentile and the mode, so the answer is 1, 2, 3 and 4.
★A normal distribution is perfectly symmetrical about its centre.
★Because of this symmetry the mean, median and mode all coincide at the centre.
★The median is the middle value, which is the second quartile and the 50th percentile.
★So all four of these central measures are equal to the median.
★The 5th percentile lies far below the centre, so it is not equal to the median and is excluded.
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