A batch of data consists of 25 temperatures with a mean of 75F and standard devi

Question

A batch of data consists of 25 temperatures with a mean of 75F and standard deviation of 2F. These values were converted into temperatures measured in degrees Centigrade. (the relationship between Fahrenheit and Centigrade is F=32+1.8C).
(a). What is the mean of these new numbers?
(b). What is the standard deviation of the new batch of numbers? A batch of data consists of 25 temperatures with a mean of 75F and standard deviation of 2F. These values were converted into temperatures measured in degrees Centigrade. (the relationship between Fahrenheit and Centigrade is F=32+1.8C).
(a). What is the mean of these new numbers?
(b). What is the standard deviation of the new batch of numbers?
(a). What is the mean of these new numbers?
(b). What is the standard deviation of the new batch of numbers? (a). What is the mean of these new numbers?
(b). What is the standard deviation of the new batch of numbers?

Explanation / Answer

here C=(F-32)/1.8

a) hence mean E(C) =(E(F)-32)/1.8 =(75-32)/1.8=23.89

b) std deviation =std dev(F)/1.8 =2/1.8=1.11

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