# Thread: What is the standard deviation of the measurements coverted into Celsius?

1. ## What is the standard deviation of the measurements coverted into Celsius?

A temperature measurment F in degrees Fahrenheit can be converted to a measurement C in degrees Celsius using the formula C=(5/9) (F-32). Suppose 10 measurments in Fahreheit have a mean of 86 degrees and a standard debiation of 3.4 degrees. What is the standard deviation of the measurements coverted into Celsius?

2. ## Re: What is the standard deviation of the measurements coverted into Celsius?

Because the "standard deviation" has units of "degrees Fahrenheit", you change to "degrees Celcius" exactly as you would any measurement in "degrees Fahrenheit".

3. ## Re: What is the standard deviation of the measurements coverted into Celsius?

Originally Posted by HallsofIvy
Because the "standard deviation" has units of "degrees Fahrenheit", you change to "degrees Celcius" exactly as you would any measurement in "degrees Fahrenheit".
Actually, wouldn't it be $\displaystyle \sigma _C = \frac{5}{9} \sigma _F$? We don't need to subtract the 32 in this case.

-Dan

4. ## Re: What is the standard deviation of the measurements coverted into Celsius?

yes that what I thought, thnks