If Z=12 and M=16, then bar{x}= ............ | vedclass

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Question

(C) The empirical relationship between Mean $(\bar{x})$,Median $(M)$,and Mode $(Z)$ is given by the formula:
$Z = 3M - 2\bar{x}$
Given values are $Z

Vedclass · Accepted Answer

$18$

Vedclass · Answer

(C) The empirical relationship between Mean $(\bar{x})$,Median $(M)$,and Mode $(Z)$ is given by the formula:
$Z = 3M - 2\bar{x}$
Given values are $Z = 12$ and $M = 16$.
Substituting these values into the formula:
$12 = 3(16) - 2\bar{x}$
$12 = 48 - 2\bar{x}$
Rearranging the equation to solve for $\bar{x}$:
$2\bar{x} = 48 - 12$
$2\bar{x} = 36$
$\bar{x} = \frac{36}{2}$
$\bar{x} = 18$

Speed $(km/h)$	$85-100$	$100-115$	$115-130$	$130-145$
Number of players	$11$	$9$	$8$	$5$

If $Z=12$ and $M=16,$ then $\bar{x}=$ ............

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