Answer:
15.90
Step-by-step explanation:
The formula for standard deviation, σ, of a population is
[tex]\sigma = \sqrt{\frac{1 }{N }\sum_{i=1}^{N}(x_{i}-\mu)^{2}}[/tex]
We can use a table to organize the calculations.
x x - µ (x - µ)²
212 -18 324
249 19 361
212 -18 324
248 18 324
239 9 81
212 -18 324
216 -14 196
234 4 16
248 18 324
2070 2274
Sum= 2070
N = 9
µ = Sum/N = 2070/9 = 230
[tex]\sigma = \sqrt{\frac{1 }{9 }\times2274} =\sqrt{252.7} = 15.90[/tex]
