If the average marks of three classes of 55, 60 and 65 students are 55, 60, 65 respectively, find the average marks of all the students. (In approximately)

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  1. 62.277
  2. 66.277
  3. 64.277
  4.  60.277

Answer (Detailed Solution Below)

Option 4 :  60.277
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यूपी पुलिस SI (दरोगा) सामान्य हिंदी मॉक टेस्ट
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Detailed Solution

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Given:

Number of students in Class 1 = 55, Average marks = 55

Number of students in Class 2 = 60, Average marks = 60

Number of students in Class 3 = 65, Average marks = 65

Formula Used:

Overall Average = (Sum of marks of all students) / (Total number of students)

Calculation:

Sum of marks of Class 1 = 55 × 55 = 3025

Sum of marks of Class 2 = 60 × 60 = 3600

Sum of marks of Class 3 = 65 × 65 = 4225

Total sum of marks = 3025 + 3600 + 4225

⇒ Total sum of marks = 10850

Total number of students = 55 + 60 + 65

⇒ Total number of students = 180

Overall Average = Total sum of marks / Total number of students

⇒ Overall Average = 10850 / 180

⇒ Overall Average ≈ 60.277

The average marks of all the students ≈ 60.277.

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