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13.Statistics
medium
$112, 116, 120, 125, 132$ અવલોકનોનું વિચરણ = ……..
A
$58.8$
B
$48.8$
C
$61.8$
D
આપેલ પૈકી એક પણ નહિં
Solution
આપેલ અવલોકનો ${\text{112,}}\,\,{\text{116,}}\,\,{\text{120,}}\,\,{\text{125,}}\,\,{\text{132}}$
$ \bar x $ $ = \,\,\frac{{\Sigma {x_i}}}{n}\,\,\, = \,\,\frac{{605}}{5}\,\, = \,\,121$
$\Sigma {({x_i}\, – \,\,\bar x)^2}\,\, = \,\,81\,\, + \,\,25\,\, + \,\,1\,\, + \,\,16\,\, + \,\,121\,\, = \,\,244$
$\therefore \,\,\,{\sigma ^2}\, = \,\,\,\frac{{\Sigma {{({x_i}\, – \,\,\bar x)}^2}}}{n}\,\,\,\, = \,\,\,\frac{{244}}{5}\,\,\, = \,\,48.8$
Standard 11
Mathematics
