Discussion
Which of the following statement/s is/are true ?
1. If bulk of values are less than mean, the distribution is negatively skewed
2. If bulk of values are greater than mean, the distribution is positively skewed.
3. A perfect symmetrical normal distribution has zero skewness.
Answer: C
Only statement 3 is true.
When most values lie below the mean, a few very large values must be pulling the mean up, so the long tail is on the right: the distribution is positively skewed, not negatively. Likewise, when most values lie above the mean, a few small values pull the mean down and the distribution is negatively skewed. So statements 1 and 2 have the signs reversed.
A perfectly symmetrical normal distribution has mean, median and mode equal and zero skewness, so statement 3 is true.
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