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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
Explanation

In a negatively skewed distribution the order is mean below median below mode, so statements two and three both hold.

Statement two, mean is less than median, holds because the long left tail drags the mean downward.

Statement three, median is less than mode, holds since the peak lies to the right of the centre.

Statement one, mean greater than mode, is false and instead describes a positively skewed curve.

Statement four, mode greater than mean, is itself true yet statements two and three already state the complete ordering.

In positive skew the pattern reverses, with mean above median above mode.

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