0 I know that to, for example, convert from Fahrenheit to Celsius you subtract 32 and then divide by 1.8. I'm interested in how this type of formula can be developed. So, given two different sets of numbers that are different but describe the same things, how do you construct a formula that will convert any number from one set to the other set? The Fahrenheit-Celsius conversion formula is $F= \frac {9} {5}C+32$. Suppose the temperature measured in Celsius has mean $\mu$ and variance $\sigma^2$. What are the mean and variance of the temperat... Converting mean and std deviation of degrees from Fahrenheit to Celsius Ask Question Asked 4 years, 11 months ago Modified 4 years, 11 months ago 0 celsius=5/9 (fahrenheit− 32) if the standard deviation of a random sample containing 14 people is 0.9 degrees farenheit, what's the variance in celsius? I have tried 5/9 (0.18-32) but I get a negative number for variance which is obviously wrong. I used 0.18 because 0.9^2=0.18. Addendum Assume, for the sake of contradiction, that corresponding temperatures on the Celsius and Fahrenheit scales are actually equal to each other. Then they exhibit the same scaling behaviour and undergo the same relative change. This method yields an answer of - 57.6 degrees celsius Method 2: First convert 42 degrees celsius to fahrenheit. Then convert 28 degrees celsius to fahrenheit. Then find the difference of the resulting two numbers. This method yields an answer of 25.2 degrees fahrenheit. Can somebody clearly explain what's happening here? As units of heat, 1 degree Celsius = 1 Kelvin (and also, 9/5 degree Fahrenheit). Addition or subtraction enters the picture because when we measure actual temperatures, we do it relative to a base point that is different for each scale. When converting units of standard deviation, should I do the calculations in variance then convert the variance back? For reference, I am trying to convert the standard deviation from fahrenheit to celsius. If I convert 47°F to Celsius, rounding to the nearest integer, I get 8°C. If I then convert back to Fahrenheit, again rounding, I get 46°F. Back to Celsius, 8°C. Now of course if I continue this pr... I have read several explanations of standard deviation and z-score, I know how to it calculate them but I am not sure what is differences betwen them. Can someone explain it to me? When is suitabl...