Question

I really need help with this pleaseeee

Answer 1

σ = 11.68

Explanation:

`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`

`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{ (682)/(5) } \\ σ = √(136.4) \\ σ = 11.679041056525\\ σ = 11.68`