Answer: Approximately 2.06
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Work Shown:
We are given the following
- N = 9 as the sample size
- [tex]\sum X = 55[/tex] as the sum of the X values
- [tex]\sum X^2 = 370[/tex] as the sum of the [tex]X^2[/tex] values
Plug those into the formula to get
[tex]s = \sqrt{\frac{N \sum X^2 - \left(\sum X\right)^2}{N(N-1)}}\\\\s = \sqrt{\frac{9*370 - \left(55\right)^2}{9(9-1)}}\\\\s = \sqrt{\frac{9*370 - 3025}{9(8)}}\\\\s = \sqrt{\frac{3330 - 3025}{72}}\\\\s = \sqrt{\frac{305}{72}}\\\\s \approx \sqrt{4.23611111111111}\\\\s \approx 2.05818150587141\\\\s \approx 2.06\\\\[/tex]
