As the standard deviation for Sample Values and Population are different. The sample Standard Deviation is 5.196
The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers.
Formula for standard deviation calculation is:
[tex]\sigma = \sqrt {\sum \frac {(X - \mu) ^ {2}}{N}}[/tex] (Population Standard Deviation)
[tex]s = \sqrt {\sum \frac {(X - \bar x) ^ {2}}{n-1}}[/tex] (Sample Standard Deviation)
[tex]\bar x= 19.1[/tex]
[tex]\sum {(X - \bar x) ^ {2}} = 162[/tex]
[tex]n-1 = 6[/tex]
[tex]s = \sqrt {\sum \frac {(X - \bar x) ^ {2}}{n-1}} = \sqrt {\frac {162}{6}}[/tex]
[tex]s= \sqrt 27[/tex]
[tex]s= 5.196[/tex]
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