A class of 30 students appeared in a test. The average score of 12 students is 62, and that of the rest is 68. What is the average score of the class?

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Accepted Answer

To find the average score of the entire class, we use the weighted average formula.

Step 1: Calculate the total score of the first 12 students:
Total score = 12 × 62 = 744

Step 2: Calculate the total score of the remaining 18 students (30 - 12 = 18):
Total score = 18 × 68 = 1224

Step 3: Calculate the total score of all 30 students:
Total score = 744 + 1224 = 1968

Step 4: Calculate the average score of the class:
Average = Total score / Number of students = 1968 / 30 = 65.6

Rechecking calculation:
1968 ÷ 30 = 65.6

The correct average is 65.6, but the given answer options show 66.6 as option 1 and 65.6 as option 3.

Recalculate carefully:
12 students average = 62 → total = 12 × 62 = 744
18 students average = 68 → total = 18 × 68 = 1224
Sum total = 744 + 1224 = 1968
Average = 1968 / 30 = 65.6

Therefore, the correct answer is 65.6 (option 3).

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