If the average marks of three batches of 55, 60 and 45 students respec

1.	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 is1. 54.482. 54.683. 54.604. 54.58
Answer» Correct Answer - Option 2 : 54.68 Given: Average marks of batch with 55 students = 50 Average marks of batch with 60 students = 55 Average marks of batch with 45 students = 60 Formula used : If the values a, b, c, and d are the individual averages of each of the groups and n₁, n₂, n₃ and n₄are the numbers of observations then Weighted average = (an₁+ bn₂ + cn₃ + dn₄)/( n₁+ n₂ + n₃ + n₄) Calculation: Average = [(50 × 55) + (55 × 60) + (60 × 45)]/(55 + 60 + 45) ⇒ Average = (2750 + 3300 + 2700)/(160) Average = 8750/160 = 54.68 ∴ The average marks of all student is 54.68

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 is1. 54.482. 54.683. 54.604. 54.58

Answer» Correct Answer - Option 2 : 54.68

Given:

Average marks of batch with 55 students = 50

Average marks of batch with 60 students = 55

Average marks of batch with 45 students = 60

Formula used :

If the values a, b, c, and d are the individual averages of each of the groups and n₁, n₂, n₃ and n₄are the numbers of observations then

Weighted average = (an₁+ bn₂ + cn₃ + dn₄)/( n₁+ n₂ + n₃ + n₄)

Calculation:

Average = [(50 × 55) + (55 × 60) + (60 × 45)]/(55 + 60 + 45)

⇒ Average = (2750 + 3300 + 2700)/(160)

Average = 8750/160 = 54.68

∴ The average marks of all student is 54.68

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