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The standard deviation of some temperatu...

The standard deviation of some temperature data in `.^(@)C` is 5 .If the data were converted into `.^(@)F` then variance would be

A

81

B

57

C

36

D

25

Text Solution

Verified by Experts

The correct Answer is:
A
Given, `sigma_(C )=5`
Relation between `.^(@)C " and" .^(@)F` is given by
`F=(9C)/(5)+32`
`therefore sigma_(F)=(9)/(5)S_(C )=(9)/(5)xx5=9`
Here, `sigma_(F^(2))=(9)^(2)=81`
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