The relation between Mean, Median and Mode for symmetrical distribution is:
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → Mean = Median = Mode
In a symmetrical distribution the values are spread evenly on both sides of the centre, so the curve is a mirror image about its middle. The highest point (the mode), the middle value (the median) and the average (the mean) all fall at the same centre, so the three are equal.
Tip: For a moderately skewed distribution the three are linked by the empirical relation Mode = 3 Median − 2 Mean; when the distribution is symmetrical, it reduces to Mean = Median = Mode.