GATE CE 2018 Set 2 — Question 13
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Engineering Mathematics → Statistics & Regression → Mean, Median & Mode
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Question
A probability distribution with right skew is shown in the figure.
The correct statement for the probability distribution is
Correct answer
(C) Mean is greater than median and mode
Solution
In a right-skewed (positively skewed) distribution, the tail on the right side is longer than on the left side. This pulls the mean to the right of the median and mode. The general relationship for a right-skewed distribution is:
Mode < Median < Mean.
Therefore, the mean is greater than both the median and the mode.
Mode < Median < Mean.
Therefore, the mean is greater than both the median and the mode.
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