The average score of 5 batches of 20, 25, 30, 15 and 35 students respectively is 40, 35, 30, 40 and 35. Find the average score of all the students put together.

A 36

B 35.60

C 34.20

D 35.20

E None of these

Solution

Correct Answer: Option D

Average marks of 5 batches of 20, 25, 30, 15 & 35 students are 40, 35, 30, 40 & 35.

Therefore, the average Score for all the students is: 

\(= \frac{{\left[ {\left( {20 \times 40} \right) + \left( {25 \times 35} \right) + \left( {30 \times 30} \right) + \left( {15 \times 40} \right) + \left( {35 \times 35} \right)} \right]}}{{\left( {20 + 25 + 30 + 15 + 35} \right)}} = \frac{{4400}}{{125}}\)

= 35.20

Hence, the average score of all the students put together is 35.20.

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