Question
Find the mean variance and standard deviation for the following data:
2, 4, 5, 6, 8, 17.
2, 4, 5, 6, 8, 17.
✓
Answer
| x | d = (x - Mean) | d2 |
| 2 | -5 | 25 |
| 4 | -3 | 9 |
| 5 | -2 | 4 |
| 6 | -1 | 1 |
| 8 | 1 | 1 |
| 17 | 10 | 100 |
| 42 | | 140 |
$\overline{\text{x}}=\frac{1}{\text{n}}\sum\text{x}_\text{i}=\frac{1}{6}[42]=7$
$\text{var}(\text{x})=\frac{1}{\text{n}}\Big\{\sum(\text{x}_\text{i}-\overline{\text{x}})^2\Big\}=\frac{1}{6}\big\{140\big\}=23.33$
$\text{S.D}(\text{x})=\sqrt{\text{var}(\text{x})}=\sqrt{23.33}=4.8$
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