Discussion
Which of the following statements can be inferred about the Mean, Median, and Mode of the normal distribution P(x) for a variable x ?
Answer: B
For a normal distribution MEAN = MEDIAN = MODE.
The normal curve is symmetric and has a single peak at its centre. Symmetry puts the mean and the median at the centre, and the single peak puts the mode there too, so all three coincide.
The options with an inequality describe skewed distributions, where the three measures separate.
In a positively skewed distribution the mean is pulled above the median, and in a negatively skewed one below it, which is why unequal measures signal skew.
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