In a test, the marks obtained by 100 students (out of 50) are given below: | Marks obtained: | $0-10$ | $10-20$ | $20-30$ | $30-40$ | $40-50$ | | :---: | :---: | :---: | :---: | :---: | :---: | | Number of students: | 12 | 23 | 34 | 25 | 6 | Find the mean marks of the students.
Explanation
To find the mean marks of the students, we need to calculate the total marks obtained by all students and divide it by the total number of students. The total marks obtained by all students is: (12 x 5) + (23 x 15) + (34 x 25) + (25 x 35) + (6 x 45) = 60 + 345 + 850 + 875 + 270 = 2400. The total number of students is 100. Therefore, the mean marks of the students is: 2400 / 100 = 24.5.
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