Empirical relationship between the three measures of central tendency is (a) 2 Mean = 3 Median – Mode (b) 2 Mode = 3 Median – Mean (c) Mode = 2 Mean – 3 Median (d) 3 Median = 2 Mode + Mean

Answer: (a) Mean = 3 Median – Mode

The empirical relationship between the three measures of central tendency is 2 Mean = 3 Median – Mode.

An empirical relationship exists between mean mode and median.

The relationship between the three central tendencies is given as;

Mean – Mode = 3(Mean – Median)

Mean – Mode = 3 Mean – 3 Median

Rearranging the above equation we get;

3 Mean – Mean = 3 Median – Mode

On simplifying we have

2 Mean = 3 Median – Mode.

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