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Lady bird [3.3K]
3 years ago
15

How to use the results of part (b) and appropriate computation formulas to compute the sample variances s2 and sample standard d

eviation s.

Mathematics
1 answer:
anygoal [31]3 years ago
7 0
s^2=\displaystyle\sum\frac{(x-\bar x)^2}{n-1}=\frac1{n-1}\sum(x^2-2x\bar x+{\bar x}^2)=\frac{\displaystyle\sum x^2-2\bar x\sum x+{\bar x}^2}{n-1}

where \bar x=22 is the mean. Since

\sum x^2=2568
\sum x=110

you have variance

s^2=\dfrac{2568-2(22)(110)+22^2}{5-1}=37

and so the standard deiviation is

s=\sqrt{37}\approx6.083
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