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Which of the following is the correct empirical formula?
Question

Which of the following is the correct empirical formula?

A.

Mode - Mean3=Median – Mean\frac{ \text {Mode - Mean} }3= \text{Median – Mean}​​

B.

Mode - Mean3×2=Median – Mean\frac{ \text {Mode - Mean} }{3\times2}= \text{Median – Mean}

C.

Mode - Mean =  Median – Mean

D.

23\frac23​( Mode - Mean ) = Median – Mean

Correct option is A

Concept Used: 

ModeMean=3(MedianMean)Mode−Mean=3(Median−Mean)​​

Solution:

ModeMean=3(MedianMean)Mode−Mean=3(Median−Mean)​​

Rearranging this, we get:

ModeMean3\frac{Mode−Mean}3   = Median−Mean

The correct answer is (a) (Mode - Mean)/3= Median – Mean

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