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  1. The average of the marks obtained in an examination by 8 students was 51 and by 9 other students was 68. The average marks of all 17 students was :
    1. 59
    2. 59.5
    3. 60
    4. 60.5
Correct Option: C

The average of the marks obtained in an examination by 8 students = 51
Sum of total number of 8 students in exam = 8 × 51 = 408
The average of the marks obtained in an examination by 9 other students = 51
Sum of total number of 9 students in exam = 9 × 68 = 612

∴ Required average =
408 + 612
17

Required average =
1020
= 60
17

Second method to find the required average ,
Here, n1 = 8, a1 = 51
n2 = 9, a2 = 68
∴ Average =
n1a1 + n2a2
n1 + n2

Average =
8 × 51 + 9 × 68
8 + 9

Average =
408 + 612
17

Average =
1020
= 60 marks.
17



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