Multiple choice

In a class of $100$ students, the mean marks obtained in a subject is $30$ and in another class of $50$ students, the mean marks obtained in the same subject is $60$. What is the mean marks obtained by the students of two classes taken together?

  1. $40$
  2. $45$
  3. $48$
  4. $50$
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A Correct answer
Explanation

The total marks for the first class is 100 * 30 = 3000. The total marks for the second class is 50 * 60 = 3000. The combined mean is (3000 + 3000) / (100 + 50) = 6000 / 150 = 40.

AI explanation

Using the combined mean formula, the total marks of the first class is 100 times 30 equal to 3000 and the total marks of the second class is 50 times 60 equal to 3000. The combined mean is calculated by dividing the total sum of marks by the total number of students. The total sum is 6000 and the total students are 150, so dividing 6000 by 150 gives the mean of 40.

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