Question

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

Answer 1

Answer:

Step-by-step explanation:

Mode = 3 median - 2 mean

2 mean= 2 median - mode

mean = 1/2 (3median - mode)

So,

mean = k(3median - mode

Answer 2

Answer:

Value of k = $\frac{1}{2}$

Explanation:

/* We know the , Empirical Formula:

Mode = 3median - 2mean

=> 2mean = 3median + mode

$\implies mean = \frac{1}{2}(3median+mode)$----(1)

It is given that,

mean = k[3median-mode] ---(2)

Compare equation (1)&(2) , we get

value of k = $\frac{1}{2}$

Therefore,

Value of k = $\frac{1}{2}$

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