In a school, there are 35 students in class 2A and 40 in class 2B. The mean score for class 2 in an English Literature examination is 60.0 and that for 2B in the same paper is 52.5. Find, to one place of decimal, the mean for the combined classes
 

  • A 2.5
  • B 56.0
  • C 56.2
  • D 56.3
  • E 6.5
jamb 1980mathematics

The correct answer is B. 56.0

The mean for the combined classes can be calculated by taking the weighted average of the means of the two classes.

The total number of students in both classes is 35 + 40 = 75.

The sum of the scores for class 2A is 35 * 60.0 = 2100, and the sum of the scores for class 2B is 40 * 52.5 = 2100.

So, the sum of the scores for both classes is 2100 + 2100 = 4200.

Therefore, the mean score for the combined classes is \(\frac{4200}{75}\) = 56.0.

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