Subject
Quantitative Aptitude
Topic
Average
Two classes took the same test. One class of 25 students made an average grade of 82%, the other class of 32 students made an average grade of 75%. The average grade for all students in both classes is approximately:
Two classes took the same test. One class of 25 students made an average grade of 82%, the other class of 32 students made an average grade of 75%. The average grade for all students in both classes is approximately:
ক)
80%খ)
78%গ)
81.25%ঘ)
76.5%ঙ)
79.75%Explanation
The total number of students = 25 + 32 = 57 We know that, Average = (Sum of all terms)/(total no. of terms) ∵ Students from class I scored at an average of 82, 82 = (Sum of scores of students from class I)/25 ∴ Sum of scores of students from class I = 82 × 25 = 2050 Similarly, ∵ Students from class II scored at an average of 75, 75 = (Sum of scores of students from class II)/32 ∴ Sum of scores of students from class II = 32 × 75 = 2400 ∴Average of all 57 students= (Sum of grades of all 57 students)/(total number of students) ⇒ Average ⇒ Average = 78.07 ≈ 78 ∴ Average % of all students is approximately 78%Related questions
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