Answer:
σ = 11.68
Step-by-step explanation:
[tex]σ = \sqrt{ \frac{Σ{(xi - μ)}^{2} }{N} } \\ where \: σ = population \: standard \: deviation \\ xi = each \: value \: from \: population \\ μ = population \: mean \\ N = size \: of \: population[/tex]
[tex]σ = \sqrt{ \frac{Σ{(9 - 26)}^{2} + {(16 - 26)}^{2} +{(30 - 26)}^{2} +{(35 - 26)}^{2} + {(40 - 26)}^{2}}{5} } \\ σ = \sqrt{ \frac{Σ{((-17)}^{2} + {(- 10) }^{2} +{(4) }^{2} +{(9) }^{2} +{(14) }^{2})}{5}} \\ σ = \sqrt{ \frac{Σ ({289} + {100} +{16} +{81} + {196})}{5} } \\ σ = \sqrt{ \frac{682}{5} } \\ σ = \sqrt{136.4} \\ σ = 11.679041056525\\ σ = 11.68[/tex]
