Aptitude - Average - Discussion

Discussion Forum : Average - General Questions (Q.No. 14)
14.
If the average marks of three batches of 55, 60 and 45 students respectively is 50, 55, 60, then the average marks of all the students is:
53.33
54.68
55
None of these
Answer: Option
Explanation:
Required average
= 55 x 50 + 60 x 55 + 45 x 60
55 + 60 + 45
= 2750 + 3300 + 2700
160
= 8750
160
= 54.68
Discussion:
21 comments Page 2 of 3.

Dr.R.Baskaran said:   7 years ago
55: 60:45 = 11:12:9.
Choose the origin (assumed average) as 55.
The sum of the deviations = 11x(-5) + 9x5 = -10.
Average = 55 - 10/(11 + 12 + 9) = 55 - 10/32.
You have to subtract about 1/3 which is nearly 0.33. The answer is 54.68.
(1)

Pranay RK said:   7 years ago
It is clearly written 55, 60, 45 are total no of students. (i.e) 160 total student.

Whereas average marks of the student are 50, 55, 60.

Srid said:   5 years ago
Let T be total marks if all pupil, N be no of students, A be the average mark.
Case 1( when marks were entered correctly ie 63).
T/N=A.
Case 2(83)
(T+20)/N=A+0.5.
Subtract both equations.
20/N = 0.5.
N= 40.

Muneer.s said:   1 decade ago
Total marks of first batch(55) is= 55*50=2750
Total marks of second batch (60)is= 60*55=3300
Total marks of third batch(45)= 45*60=2700

Total marks of second batch= 2750+3300+2700 = 8750
Total number of Students= 55+60+45 =160
Avg= 8750/160= 54.68

Swa said:   7 years ago
Thank you @Sadhya.

Keshav singh said:   8 years ago
Thanks @S. Balasubramaniam.

Bhavik oza said:   9 years ago
Average marks are asked. So how can 160 come in the denominator? If you keep 160 then you will get average students as your answer.

Riyaz said:   9 years ago
Thank you all who has given suggestions while solving the problems.

Vicky said:   9 years ago
Thanks, @Balasubramaniam.

Swordist said:   1 decade ago
Total marks of first batch(55) is = 55*50 = 2750.
Total marks of second batch (60)is = 60*55 = 3300.
Total marks of third batch(45) = 45*60 = 2700.

Total marks of second batch = 2750+3300+2700 = 8750.
Total number of Students = 55+60+45 = 160.
Avg = 8750/160 = 54.6875 = 54.69.

Answer: D.


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