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Math Help - Standard Deviation and Temperature

  1. #1
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    Standard Deviation and Temperature

    Need help with this problem!!!

    You are planning to take to a trip to Montreal, Canada during the month of April and you want to bring clothing that is appropriate for the weather. The daily high temperature X in degrees Celsius in Montreal during April has expected value E(X) = 9.7oC with a standard deviation SD(X) = 3.7oC. You want to convert these Celsius temperatures to oF (degrees Fahrenheit). The conversion of X into degrees Fahrenheit Y is Y = (9/5)X + 32.

    The expected value in Fahrenheit is 49.46 but how would you calculate the standard deviation into Fahrenheit??? It is not 38.66.

    Thank you
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  2. #2
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    Quote Originally Posted by dbt294 View Post
    Need help with this problem!!!

    You are planning to take to a trip to Montreal, Canada during the month of April and you want to bring clothing that is appropriate for the weather. The daily high temperature X in degrees Celsius in Montreal during April has expected value E(X) = 9.7oC with a standard deviation SD(X) = 3.7oC. You want to convert these Celsius temperatures to oF (degrees Fahrenheit). The conversion of X into degrees Fahrenheit Y is Y = (9/5)X + 32.

    The expected value in Fahrenheit is 49.46 but how would you calculate the standard deviation into Fahrenheit??? It is not 38.66.

    Thank you
    If Y = aX + b then Var(Y) = a^2 Var(X) and sd(Y) = |a| sd(X).
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