There are 3 groups of students each containing 25 50 and…

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There are 3 groups of students, each containing 25, 50 and 25 students respectively. The mean marks obtained by the first two groups are 60 and 55. The combined mean of all the three groups is 58. What is the mean of the marks scored by the third group ?

  1. A. 52
  2. B. 57
  3. C. 58
  4. D. 60

E. 62

Here is complete explanation of There are 3 groups of students each containing 25 50 and….

Solution(By ExamCraze Team)

Let the mean marks of the third group be x.
Then,
$$eqalign{ & Rightarrow frac{{25 times 60 + 50 times 55 + 25 times x}}{{25 + 50 + 25}} = 58 cr & Rightarrow 1500 + 2750 + 25x = 5800 cr & Rightarrow 25x = 1550 cr & Rightarrow x = 62 cr} $$

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