Answer :
Answer:
Step-by-step explanation:
We have data in order
1, 7, 9, 10, 10, 12, 13, 14, 15, 16, 16, 16, 16, 20
Range = max - min=20 - 1=19 hurricanes
Standard deviation(sample)=[tex]\sqrt{\frac{1}{\eta-1}(\sum(x-x')^2)}[/tex]
for the given data=[tex]x'=\frac{\sum x}{\eta}=\frac{175}{14}=12.5[/tex]
standard deviation =[tex]\sqrt{\frac{1}{14-1}(1-12.5)^2)+...(20-12.5)^2}=4.816[/tex]hurricanes
Variance=(standard deviation)²=[tex]4.816)^2\\23.19\\23.2[/tex]hurricanes