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Question
The standard deviation of some temperature data in degree Celsius (°C) is 5. If the data were converted into degree Fahrenheit (°F) then what is the variance?
Solution
F° = (C° × 1.8) + 32
σc = 5°C
σF = (1.8 × 5°C) ⋅ 9°F
Adding value to data doesn’t affect standard deviation.
New variance = `sigma_"F"^2` = 81°F
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