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Question

If the average marks of three batches of 55, 60 and 45 students respectively is 50, 55, 60, then the average marks of all the students is:

Options:
A .  53.33
B .  54.68
C .  55
D .  None of these
Answer: Option B

Required average = \(\left(\frac{55\times50+60\times55+45\times60}{55+60+45}\right)
\)


= \(\left(\frac{2750+3300+2700}{160}\right)\)


= \(\frac{8750}{160}\)


= 54.68


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