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

$21$

Vedclass · Answer

(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	$0-20, 20-40, 40-60, 60-80, 80-100, 100-120$
Frequency	$10, f, 7, 6, 5, 4$

Class	$10-20$	$20-30$	$30-40$	$40-50$	$50-60$	$60-70$	$70-80$
Frequency	$6$	$10$	$5$	$6$	$4$	$2$	$2$

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

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