Standard deviation = \(\frac{\sum(x - \overline{x})^2}{\text{n}}\)
\(\overline{x}\) = \(\frac{ 3 + 6 + 4 + x + 7}{5}\) = 5
= 20 + x = 25
x = 25 - 20 = 5.
x |
x - \(\overline{x}\) |
(x - \(\overline{x}\))\(^2\) |
3 |
3 - 5 |
-2 = 4 |
4 |
4 - 5 |
-1 = 1 |
5 |
5 - 5 |
0 = 0 |
6 |
6 - 5 |
1 = 1 |
7 |
7 - 5 |
2 = 4 |
|
|
|
\(\sum\) (x - \(\overline{x}\))\(^2\) = 10 |
Standard deviation = \(\frac{\sum(x - \overline{x})^2}{\text{n}}\) = \(\frac{\sqrt{10}}{5}\) = \(\sqrt{2}\)
There is an explanation video available below.
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