Discussion
Which of the following options is true for a positively skewed distribution ?
Answer: D
For a positively skewed distribution, Mean \(\gt\) Median \(\gt\) Mode.
A positively skewed distribution has a long tail to the right. The mode sits at the peak, on the left. The median, which divides the frequencies into halves, lies to the right of the mode. The mean is pulled farthest to the right by the few very large values in the tail, so the order is mean greater than median greater than mode. Income distribution is the usual example.
Mean = Median = Mode holds only in a symmetrical distribution. Mean \(\lt\) Median \(\lt\) Mode is the negatively skewed case, and the order in option A is not possible for a unimodal skewed distribution, since the median always lies between the mean and the mode.
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