Calculate the mean % error in five observatio | vedclass

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Question

The mean percentage error can be calculated as,

$M P E=\frac{1}{n} \sum\left(\frac{x-\bar{x}}{x}ight) 	imes 100 \%$ $...(1)$

The mean value o

Vedclass · Accepted Answer

$0.74$

Vedclass · Answer

The mean percentage error can be calculated as,

$M P E=\frac{1}{n} \sum\left(\frac{x-\bar{x}}{x}ight) 	imes 100 \%$ $...(1)$

The mean value of the errors is calculated as,

Mean of the errors $=\frac{80+80.5+81+81.5+82}{5}$

$=81$


	
		
			$x$
			$x-\bar{x}$
			$\frac{x-\bar{x}}{x}$
		
		
			$80.0$
			$1.0$
			$0.0125$
		
		
			$80.5$
			$0.5$
			$0.0062$
		
		
			$81.0$
			$0$
			$0$
		
		
			$81.5$
			$0.5$
			$0.0061$
		
		
			$82.0$
			$1.0$
			$0.122$
		
		
			 
			 
			Sum$=0.037$
		
	


Substituting the values in equation $(1),$ we get

$M P E=\frac{1}{5} 	imes(0.037) 	imes 100 \%$

$=0.74 \%$

Calculate the mean $\%$ error in five observation

$80.0,80.5,81.0,81.5,82$

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