Which of the following represents the relation between mean, median and mode?

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Mode = 3Median - 2Mean

Mode = 2Mean – 3Median

Mode = 3Median + 2Mean

Mode = 3Median / 2Mean

answer is A.

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Detailed Solution

Concept: Central tendency is a measured with (Mean, Mode and Median)

The average of the given number of observations is called the mean.

The mode is the value of the most commonly occurring or repeating observation. The mode is an observation with the highest frequency.

The median is the point at which a given observation is divided into exactly two parts.

Karl Pearson's Formula can be used to express the relationship between mean, median, and mode:

$\begin{array}{l} \Rightarrow (M e a n - M e d i a n) = \frac{1}{3} (M e a n - M o d e) \\ \Rightarrow 3 (M e a n - M e d i a n) = (M e a n - M o d e) \\ \Rightarrow 3 M e a n - 3 M e d i a n = M e a n - M o d e \\ \Rightarrow M o d e = 3 M e d i a n - 3 M e a n + M e a n \\ \Rightarrow M o d e = 3 M e d i a n - 2 M e a n \end{array}$