What is the relation between mean, median, and mode?
Answer: The relationship between Mean, Median, and Mode is given by: Mode = 3(Median) - 2(Mean)
We will understand the empirical relationship between mean, median, and mode by means of a frequency distribution graph.
We can divide the relationship into four different cases:
In the case of a moderately skewed distribution, i.e. in general, the difference between mean and mode is equal to three times the difference between the mean and median.
Thus, the empirical relationship as Mean – Mode = 3 (Mean – Median).
This can also be written as Mode = 3(Median) - 2(Mean)
In the case of a frequency distribution that has a symmetrical frequency curve, the empirical relation states that mean = median = mode.
In the case of a positively skewed frequency distribution curve, mean > median > mode.
In the case of negatively skewed frequency distribution mean < median < mode.