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The marks of some students were listed out of 75.the S.D 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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122

144

answer is A.

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Detailed Solution

Student gets x marks out of 75 marks marks out of 100 is $\frac{100 \times x}{75} = \frac{4}{3} x$
$S . D (x) = 9 S . D (\frac{4}{3} x) = \frac{4}{3} \times 9 = 12 New V a r i a n c e = σ^{2} = 12^{2} = 144$

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