Paper 1 · Research Aptitude
UGC NET December 2023 (11.12.2023) Shift-II
In a positively skewed distribution, which among the following would be true? Choose the correct answer from the options given below.
- 1. Mean is greater than Mode
- 2. Mode is greater than Median
- 3. Mean is greater than Median
- 4. Mode is greater than Mean
- 5. Median is greater than Mean
A2 and 4 only
B1 and 3 only ✓ Correct
C1 and 2 only
D4 and 5 only
Correct answer: (B) 1 and 3 only — In a positively skewed distribution the mean is greater than the mode and the median, so the answer is 1 and 3.
Explanation
★In a positively skewed distribution the mean is greater than the mode and the median, so the answer is 1 and 3.
★Positive skew has a longer tail on the right side of the distribution.
★The extreme high values pull the mean up above the median.
★So the order is mean greater than median greater than mode.
★This makes mean greater than mode and mean greater than median both true.
★So statements 1 and 3 hold, giving the answer 1 and 3.
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