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$res2
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$res2
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!exit
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!exit
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:output
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:output
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<center>
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<div class="wimscenter">
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Standard deviation =
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Standard deviation =
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!htmlmath $res2
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!htmlmath $res2
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<br>
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<br />
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Standard deviation of sampling =
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Standard deviation of sampling =
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!htmlmath $res1
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!htmlmath $res1
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</center> <p>
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</div>
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Data: $cnt numbers { $formula }
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Data: $cnt numbers { $formula }
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<p>
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<p>
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The <em>standard deviation</em> (resp. <em>standard deviation of
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The <em>standard deviation</em> (resp. <em>standard deviation of
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sampling</em>)
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sampling</em>) of
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of {<i>x</i><sub>1</sub>,
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\(\{x_1, x_2, ..., x_n\}\)
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<i>x</i><sub>2</sub>, ..., <i>x<sub>n</sub></i>} is equal to
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is equal to
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!set ins_align=middle
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!set ins_align=middle
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!instex $$$$ \sqrt{{1\over n}\sum_{i=1}^n (x_i-\overline x)^2} $$$$
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!insmath \sqrt{{1\over n}\sum_{i=1}^n (x_i-\overline{x})^2}
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 (resp.
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 (resp.
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!instex $$$$ \sqrt{{1\over n-1}\sum_{i=1}^n (x_i-\overline x)^2} $$$$
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!insmath \sqrt{{1\over n-1}\sum_{i=1}^n (x_i-\overline{x})^2}
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&nbsp;), where
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&nbsp;), where
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!set ins_align=bottom
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!set ins_align=bottom
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!instex $$ \overline x $$
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!insmath \overline{x}
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 is the <em>arithmetic mean</em> of the data.
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 is the <em>arithmetic mean</em> of the data.
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</p>
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!exit
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!exit
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