The average marks obtained by a group of 25 students was 29. One student left the group as a result of which the average of the remaining students rose to 29.5 Afterwards, another student came in as a result of which the average marks of the group dropped to 28.8 What is the average of the combined marks obtained by the students who left and the one who joined?

14
14.5
15
13.5

LohaHridoy

4 views

2025-01-04 04:42

1 Answers

AhmedNazir

Option 2 : 14.5

Given,

Average marks of 25 students = 29

As we know,

Total marks obtained by students = average marks obtained by student × total no.of students

Average of marks obtained by two students = (marks obtained by left student + marks obtained student who came)/2

CALCULATION:

Total marks obtained by 25 students = 25 × 29 = 725

According to the question,

One student left the group as a result of which the average of the remaining students rose to 29.5

Total marks obtained by 24 students = 24 × 29.5 = 708

Marks obtained by left student = 725 – 708 = 17

According to the question,

Another student came in as a result of which the average marks of the group dropped to 28.8

Therefore,

Total marks obtained by the students after another student came = 25 × 28.8 = 720

⇒ Marks obtained by student who came = 720 – 708 = 12

The average of the combined marks obtained by the student who left and the one who joined

⇒ (17 + 12)/2

⇒ 14.5

4 views Answered 2022-09-04 04:29

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