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The mean marks obtained by 300 students in a subject are 60. The mean of top 100 students was found to be 80 and the mean of last 100 students was found to be 50. What are the mean marks of the remaining 100 students?

The mean marks obtained by 300 students in a subject are 60. The mean of top 100 students was found to be 80 and the mean of last 100 students was found to be 50. What are the mean marks of the remaining 100 students? Correct Answer 50

Since the mean marks obtained by 300 students in a subject are 60;

∴ Sum of marks of 300 students = 300 × 60 = 18000

Mean of top 100 students was found to be 80;

∴ Sum of marks of top 100 students = 100 × 80 = 8000

Mean of last 100 students was found to be 50;

∴ Sum of marks of last 100 students = 100 × 50 = 5000

∴ Sum of marks of remaining 100 students = 18000 – 5000 – 8000 = 5000

∴ Mean of remaining 100 students = 5000/100 = 50

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