The standard deviation of the population dataset is 9.35
The dataset is given as:
18, 14, 35, 34, 11, 26
Start by calculating the mean using:
Mean = Sum/Count
This gives:
[tex]\bar x = (18+ 14+ 35+ 34+ 11+ 26)/6[/tex]
Evaluate
[tex]\bar x = 23[/tex]
The standard deviation is then calculated using:
[tex]\sigma = \sqrt{\frac{\sum (x - \bar x)^2}{n}}[/tex]
This gives
[tex]\sigma = \sqrt{\frac{(18 - 23)^2 + (14- 23)^2 + (35- 23)^2 + (34- 23)^2 + (11- 23)^2 + (26- 23)^2}{6}}[/tex]
Evaluate
[tex]\sigma = \sqrt{\frac{524}{6}}[/tex]
This gives
[tex]\sigma = 9.35[/tex]
Hence, the standard deviation of the population is 9.35
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