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A class has 30 students with an average score of 75. If 5 new students join with

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Question: A class has 30 students with an average score of 75. If 5 new students join with an average score of 80, what is the new average? (2023)

Options:

  1. 76
  2. 77
  3. 78
  4. 79

Correct Answer: 78

Exam Year: 2023

Solution: 

Total score of 30 students = 30 * 75 = 2250. Total score of 5 new students = 5 * 80 = 400. New total = 2250 + 400 = 2650. New average = 2650 / 35 = 76.43.

A class has 30 students with an average score of 75. If 5 new students join with

Practice Questions

Q1
A class has 30 students with an average score of 75. If 5 new students join with an average score of 80, what is the new average? (2023)
  1. 76
  2. 77
  3. 78
  4. 79

Questions & Step-by-Step Solutions

A class has 30 students with an average score of 75. If 5 new students join with an average score of 80, what is the new average? (2023)
  • Step 1: Calculate the total score of the original 30 students. Multiply the number of students (30) by their average score (75). This gives you 30 * 75 = 2250.
  • Step 2: Calculate the total score of the 5 new students. Multiply the number of new students (5) by their average score (80). This gives you 5 * 80 = 400.
  • Step 3: Add the total score of the original students (2250) to the total score of the new students (400). This gives you 2250 + 400 = 2650.
  • Step 4: Calculate the new total number of students. Add the original number of students (30) to the new students (5). This gives you 30 + 5 = 35.
  • Step 5: Calculate the new average score. Divide the new total score (2650) by the new total number of students (35). This gives you 2650 / 35 = 76.43.
  • 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 average score changes when new groups of students with different averages are added.
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