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Q.

The marks of some students were listed out of 75.The SD of marks was found to be 9. Subsequently the marks were raised to a maximum of 100 and variance of new marks was calculated. The new variance is

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a

81

b

122

c

144

d

None of these

answer is C.

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Detailed Solution

Given, σ =9Let a student obtains x marks out of  75. Then, his marks out of100 are 4x3 .Each observation multiple by 43Now, SD,σ=43×9=12Hence, variance is σ2=144
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