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In a negatively skewed distribution, which among the following would be true? Choose the correct answer…

Paper 1 · Research Aptitude UGC NET December 2023 (12.12.2023) Shift-I
In a negatively 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. Mean is less than Median
  • 3. Median is less than Mode
  • 4. Mode is greater than Mean
A1 and 2 only
B2 and 3 only ✓ Correct
C2 and 4 only
D1 and 4 only
Correct answer: (B) 2 and 3 only — In a negatively skewed distribution the mean is less than the median and the median is less than the mode, so the answer is 2 and 3.
Explanation
In a negatively skewed distribution the mean is less than the median and the median is less than the mode, so the answer is 2 and 3.
Negative skew has a longer tail on the left side of the distribution.
The extreme low values pull the mean down below the median.
So the mean is the smallest of the three central measures.
The order becomes mean less than median less than mode.
So mean below median and median below mode both hold, which is statements 2 and 3.

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