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13.Statistics
easy

સંખ્યાઓ $3, 4, 5, 6, 7 $ નું સરેરાશ વિચલન શોધો.

A

$1.2$

B

$2.4$

C

$1.8$

D

$3.2$

Solution

અહી $\,n\,\, = \,\,5,\,\,\,\bar x \,\, = \,\,5$

સરેરાશ વિચલન $ =\frac{\Sigma |x_i-\bar x|}{n}$

$ = \,\,\,\frac{1}{5}\,\,[|3\,\, – \,\,5|\,\, + \,\,|4\,\, – \,\,5|\,\, + \,\,|5\,\, – \,\,5|\,\, + \,\,|6\,\, – \,\,5|\,\, + \,\,|7\,\, – \,\,5|]\,\,\,\,\,\,\,\,\,$

$\, = \,\,\frac{1}{5}\,[2\,\, + \,\,1\,\, + \,\,0\,\, + \,\,1\,\, + \,\,2]\,\,\,\, = \,\,\frac{6}{5}\,\,\,\, = \,\,1.2$

 

Standard 11
Mathematics

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