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Find the overall class average when 16 students have an average score of 58,  12 have averaged 63, 8 have averaged 68 and 3 have averaged 72.

Find the overall class average when 16 students have an average score of 58,  12 have averaged 63, 8 have averaged 68 and 3 have averaged 72. Correct Answer 62.7

Given: 

Average of 16 students = 58 

Average of 12 students = 63 

Average of 8 students = 68 

Average of 3 students = 72 

Concept used:

Average = (Total Sum)/(Total number)

Calculations:

Student  Average  Total score
16 58 16 × 58 = 928
12 63 12 × 63 = 756
8 68 8 × 68 = 544
3 72 3 × 72 = 216

 

Total number of students = 16 + 12 + 8 + 3 = 39 

The total score of 39 students = 928 + 756 + 544 + 216 = 2,444

Total average of 39 students = 2,444/39 = 62.66 ≈ 62.7

∴ The total average of 39 students is 62.7

 

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