For some given data,if M + bar{x} = 32 and M | vedclass

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(D) Given equations are:$M + \bar{x} = 32$  --- $(1)$$M - \bar{x} = 2$  --- $(2)$Adding equation $(1)$ and $(2)$:$(M + \bar{x}) + (M - \bar{x}) = 32 +

Vedclass · Accepted Answer

$21$

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(D) Given equations are:$M + \bar{x} = 32$  --- $(1)$$M - \bar{x} = 2$  --- $(2)$Adding equation $(1)$ and $(2)$:$(M + \bar{x}) + (M - \bar{x}) = 32 + 2$$2M = 34$$M = 17$Substituting $M = 17$ in equation $(1)$:$17 + \bar{x} = 32$$\bar{x} = 32 - 17 = 15$Using the empirical relationship between Mean,Median,and Mode:$Z = 3M - 2\bar{x}$Substituting the values of $M$ and $\bar{x}$:$Z = 3(17) - 2(15)$$Z = 51 - 30$$Z = 21$Therefore,the value of $Z$ is $21$.

Class	$21-25$	$26-30$	$31-35$	$36-40$	$41-45$	$46-50$	$51-55$
Frequency	$18$	$32$	$30$	$40$	$25$	$15$	$40$

For some given data,if $M + \bar{x} = 32$ and $M - \bar{x} = 2$,then $Z = \ldots \ldots \ldots$

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