Based on the information and graph provided, the number of years had temperatures within one standard deviation of the mean is 25 years.
What is the number of years that had temperatures within one standard deviation of the mean?
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Frim the data provided:
- Mean, x = 24°C
- standard deviation, σ = 4°C
- The interval for + or - 1 standard deviation of mean = [ 20 , 28 ] °C
From the graph, the number of years within one standard deviation of the mean temperature is:
- T1 = 20 , n1 = 2 years
- T2 = 21 , n2 = 3 years Â
- T3 = 22 , n3 = 2 years
- T4 = 23 , n4 = 4 years Â
- T5 = 24 , n5 = 3 years
- T6 = 25 , n6 = 3 years Â
- T7 = 26 , n7 = 5 years
- T8 = 27 , n8 = 2 years
- T9 = 28 , n9 = 1 years
The total number of years, N:
N = n1 + n2 + n3 + n4 + n5 + n6 + n7 + n8 + n9
N = Â 2 + 3 + 2 + 4 + 3 + 3 + 5 + 2 + 1
NÂ = 25 years Â
Therefore, the number of years had temperatures within one standard deviation of the mean is 25 years.
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