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in Mathematics by (51.2k points)
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Let the mean and standard deviation of marks of class A of 100 students be respectively 40 and α(>0) , and the mean and standard deviation of marks of class B of n students be respectively 55 and 30 -α. If the mean and variance of the marks of the combined class of 100 + n students are respectively 50 and 350, then the sum of variances of classes A and B is

(1) 500 

(2) 650 

(3) 450 

(4) 900

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