Question

write the empircal relationship among mean,median and mode
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Answer 1

Question:-

• Write the empircal relationship among mean,median and mode?

Answer:-

• 3median = mode + 2mean

• Empirical relationship states that three times the median is equal to the mode and two times the mean.

• It is the most important empirical relationship and equation of Statistics.It can be written in several other ways.

• Empirical relationship can be proved when three times median is equalled to mode and two times the mean;LHS = RHS

Answer 2

QU€STION:

write the empircal relationship among mean,median and mode

write the empircal relationship among mean,median and mode

ANSW€R:

Empirical relationship between mean, median and mode is:

Mode = 3 Median - 2 Mean

⇒ Mode - Mean = 3 Median - 2 Mean - Mean

⇒ Mode - Mean = 3 Median - 3 Mean

⇒ Mode - Mean = 3 [Median - Mean]

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