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Compute the standard deviation for 15 , 22 , 27 , 11 , 9 , 21 , 14 , 9.
written 4.7 years ago by gravatar for teamques10 teamques10 ★ 64k modified 2.1 years ago by gravatar for pedsangini276 pedsangini276 • 4.7k
engineering mathematics
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6.7kviews
written 4.7 years ago by gravatar for teamques10 teamques10 ★ 64k

Solution:

$x_{i}$ $d_{i}=x_{i}-\bar{x}$ $d_{I}^{2}$
15 -1 1
22 6 36
27 11 121
11 -5 25
9 -7 49
21 5 25
14 -2 4
9 -7 49
$ \sum_{128} x_{i}= $ $\sum_{310} d_{i}^{2}$

$\operatorname{Mean} \overline{x}=\frac{\sum x_{i}}{n}$

Mean $\overline{x}=\frac{128}{8}=16$

$Standard deviation \sigma=\sqrt{\frac{\sum d_{i}^{2}}{n}}$

$ \begin{aligned} &=\sqrt{\frac{310}{8}} \\ &=6.22 \end{aligned} $
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