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in an examination a batch of 60 students made an average score of 55 marks and another batch of 40 students made 45. what is the overall average score?

Answer :

60 students got an average of 55
60*55= 3300
40 students got 45
40*45=1800
3300 + 1800 = 5100
5100:100 (number of students)= 51
The overall average is 51 points.

Answer:

51

Step-by-step explanation:

In an examination a batch of 60 students made an average score of 55 marks

[tex]55=\frac{\text{Sum of scores of 60 students}}{60}[/tex]

[tex]55 \times 60=\text{Sum of scores of 60 students}[/tex]

[tex]3300=\text{Sum of scores of 60 students}[/tex]

Another batch of 40 students made 45.

[tex]45=\frac{\text{Sum of scores of 40 students}}{40}[/tex]

[tex]45 \times 40=\text{Sum of scores of 40 students}[/tex]

[tex]1800=\text{Sum of scores of 40 students}[/tex]

Overall average = [tex]\frac{3300+1800}{60+40}=51[/tex]

Hence the overall average score is 51

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