Q.

The standard deviation of some temperature data in oC is 5. If the data were converted into oF, the new variance would be

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a

81

b

57

c

36

d

25

answer is A.

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Detailed Solution

Given, σC=5 Relation between ∘C and ∘F is given by F=9C5+32∴ σF=95σC=95×5=9 Here, σF2=(9)2=81
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The standard deviation of some temperature data in oC is 5. If the data were converted into oF, the new variance would be