Question: Question 4. [Maximum mark : 6] Twenty candidates sat an examination in French. The sum of their marks was 826 and the sum of the

Question 4. [Maximum mark : 6] Twenty candidates sat an examination

Question 4. [Maximum mark : 6] Twenty candidates sat an examination in French. The sum of their marks was 826 and the sum of the squares of their marks was 34132. Two candidates sat the examination late and their marks were a and b. The new mean and variance were calculated, giving the following results: mean =42 and variance = 32 . Find a set of possible values of a and b

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