If the empirical relationship between mean, median . . .

Question : If the empirical relationship between mean, median and mode is expressed as mean = k(6 median-2 mode), then find the value of k.

Doubt by Pari

Solution : 

Mean = k(6 Median-2 Mode) [Given]

Mean = 2k(3Median-Mode)—(1)

We know, 

3Median = 2Mean+Mode
3Median-Mode=2Mean

3Median-Mode=2[2k(3Median-Mode)]
3Median-Mode=4k(3Median-Mode)
3Median-Mode/3Median-Mode = 4k
1=4k
1/4=k
k=1/4

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Similar Question : 

If empirical relationship between mean, median and mode is expressed as mean = k(3 median - mode), then find the value of k.

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k=1/2