write the empirical relationship between measure of Central tendency.
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The empirical relationship between the three measures of central tendency is 2 Mean = 3 Median – Mode.
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Answer:
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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