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The standard deviation of some temperatu...

The standard deviation of some temperature data in degree celsius `(""^(@)C)` is 5. If the data were converted into degree Fahrenhelt `(""^(@)F)` then what is the variance ?

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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CENGAGE-STATISTICS-Exercise (Single)
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  11. Let r be the range and S^(2)=(1)/(n-1) sum(i=1)^(n) (x(i)-overline(x))...

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  12. The standard deviation of variate xi is σ. Then standard deviation of ...

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  13. The standard deviation of the data 6,5,9,13,12,8,10 is

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  14. If the mean of 100 observations is 50 and their standard deviations is...

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  15. The standard deviation of first 10 natural numbers is 8.25 (b) 6.5 (c)...

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  16. Consider the numbers 1,2,3,4,5,6,7,8,9,10. If 1 is added to each nu...

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  17. Consider the first 10 positve integers .If we multiply each number by ...

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  18. If for a sample of size 60, we have the following information sumxi2=1...

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