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?

Answer 1

F° = (C° × 1.8) + 32

σ_c = 5°C

σ_F = (1.8 × 5°C) ⋅ 9°F

Adding value to data doesn’t affect standard deviation.

New variance = `sigma_"F"^2` = 81°F