Q. 39

The standard devi A. 81

B. 57

C. 36

D. 25

Answer :

given the standard deviation of some temperature data in °C, σC=5

We know that




Now we know


If standard deviation of x series is s, then standard deviation of kx series is ks,


So standard deviation of some temperature data in °C, σC=5,


And hence the standard deviation of some temperature data in ,


Similarly,


If standard deviation of x series is s, then standard deviation of k+x series is s,


So standard deviation of some temperature data in , ,


And hence the standard deviation of some temperature data in will be



Now for variance, we will square on both sides, we get


σF = 92


=81


This is the required variance

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