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The average marks in Hindi subject of a class of 54 students is 76. If the marks of two students were misread as 60 and 77 of the actual marks 36 and 47 respectively, then what would be the correct average?
- A74
- B77
- C75
- D76
Answer not set
Discussion 1
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CCommunity
Given, average marks in Hindi subject of a class of 54 students is 76.
∴ Total marks scored by 54 students = 54 × 76
⇒ Total marks scored by 54 students = 4104
Given, two marks 36 and 47 were misread as 60 and 77
∴ Actual total marks scored by 54 students = 4104 + 36 + 47 – 60 – 77
⇒ Actual total marks scored by 54 students = 4050
∴ Actual average marks = 4050/54 = 75
∴ Total marks scored by 54 students = 54 × 76
⇒ Total marks scored by 54 students = 4104
Given, two marks 36 and 47 were misread as 60 and 77
∴ Actual total marks scored by 54 students = 4104 + 36 + 47 – 60 – 77
⇒ Actual total marks scored by 54 students = 4050
∴ Actual average marks = 4050/54 = 75