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Q.
The standard variance of 35, 40, 42, 36, 27 :
Statistics
Solution:
Given : $x _{ i }=35,40,42,36,27$ and $n =5$
$\sum x _{ i }=180 \,\,\, \sum x _{ i }^2=6614 $
$\therefore $ variance $=\frac{\sum xi ^2}{ n }-\left(\frac{\sum xi }{ n }\right)^2$
$=\frac{6614}{5}-\left(\frac{180}{5}\right)^2=1322.8-1296=26.8$
