Question:medium

A class of 25 students took an English test. 15 students had an average score of 80. The other students had an average score of 60. What is the average score of the whole class?

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Calculate weighted averages by multiplying subgroup averages by their sizes, summing, and dividing by total group size.
Updated On: Jan 16, 2026
  • 62
  • 72
  • 65
  • 75
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The Correct Option is B

Solution and Explanation

Group 1 (15 students) earned a total score of: \[ \text{Group 1 (15 students)}: 15 \times 80 = 1200 \] Group 2 (10 students) earned a total score of: \[ \text{Group 2 (10 students)}: 10 \times 60 = 600 \] The combined total score for all students is: \[ 1200 + 600 = 1800 \] The total student count is 25. The class's overall average score is calculated as: \[ \frac{1800}{25} = 72. \] This weighted average accurately represents the impact of each group's performance on the total average.
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