If bar{x} = Z - 3 and M = 22,then the mean is | vedclass

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

Vedclass · Accepted Answer

$21$

Vedclass · Answer

(B) The empirical relationship between Mean $( \bar{x})$,Median $(M)$,and Mode $(Z)$ is given by the formula: $Z = 3M - 2\bar{x}$.
Given that $\bar{x} = Z - 3$,we can express the mode as $Z = \bar{x} + 3$.
Substituting these values into the empirical formula:
$\bar{x} + 3 = 3(22) - 2\bar{x}$
$\bar{x} + 3 = 66 - 2\bar{x}$
Adding $2\bar{x}$ to both sides:
$3\bar{x} + 3 = 66$
Subtracting $3$ from both sides:
$3\bar{x} = 63$
Dividing by $3$:
$\bar{x} = 21$.
Therefore,the mean is $21$.

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

If $\bar{x} = Z - 3$ and $M = 22$,then the mean is ..........

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