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In a class of 40 students, the average score in Mathematics is 75. If 10 new stu

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Question: In a class of 40 students, the average score in Mathematics is 75. If 10 new students join with an average score of 85, what will be the new average?

Options:

  1. 78
  2. 80
  3. 82
  4. 76

Correct Answer: 82

Solution: 

Total score of 40 students = 40 * 75 = 3000. Total score of 10 new students = 10 * 85 = 850. New average = (3000 + 850) / 50 = 77.

In a class of 40 students, the average score in Mathematics is 75. If 10 new stu

Practice Questions

Q1
In a class of 40 students, the average score in Mathematics is 75. If 10 new students join with an average score of 85, what will be the new average?
  1. 78
  2. 80
  3. 82
  4. 76

Questions & Step-by-Step Solutions

In a class of 40 students, the average score in Mathematics is 75. If 10 new students join with an average score of 85, what will be the new average?
  • Step 1: Calculate the total score of the original 40 students. Multiply the number of students (40) by their average score (75). This gives you 40 * 75 = 3000.
  • Step 2: Calculate the total score of the 10 new students. Multiply the number of new students (10) by their average score (85). This gives you 10 * 85 = 850.
  • Step 3: Add the total score of the original students (3000) to the total score of the new students (850). This gives you 3000 + 850 = 3850.
  • Step 4: Calculate the new total number of students. Add the original number of students (40) to the new students (10). This gives you 40 + 10 = 50.
  • Step 5: Calculate the new average score. Divide the total score (3850) by the new total number of students (50). This gives you 3850 / 50 = 77.
  • Average Calculation – Understanding how to calculate the average score by summing total scores and dividing by the number of students.
  • Weighted Average – Recognizing that the new average is influenced by the number of students and their respective scores.
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