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A class has 30 students. If the average score of the class is 75 and one student

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Question: A class has 30 students. If the average score of the class is 75 and one student scores 90, what is the average score of the remaining students?

Options:

  1. 74
  2. 75
  3. 76
  4. 77

Correct Answer: 76

Solution: 

Total score of 30 students = 30 * 75 = 2250. Total score of remaining 29 students = 2250 - 90 = 2160. Average = 2160 / 29 = 74.48, approximately 74.

A class has 30 students. If the average score of the class is 75 and one student

Practice Questions

Q1
A class has 30 students. If the average score of the class is 75 and one student scores 90, what is the average score of the remaining students?
  1. 74
  2. 75
  3. 76
  4. 77

Questions & Step-by-Step Solutions

A class has 30 students. If the average score of the class is 75 and one student scores 90, what is the average score of the remaining students?
Correct Answer: 74
  • Step 1: Calculate the total score of all 30 students by multiplying the average score by the number of students: 30 * 75.
  • Step 2: Find the total score of all students, which is 2250.
  • Step 3: Subtract the score of the one student who scored 90 from the total score: 2250 - 90.
  • Step 4: Calculate the total score of the remaining 29 students, which is 2160.
  • Step 5: To find the average score of the remaining 29 students, divide their total score by 29: 2160 / 29.
  • Step 6: The result of the division is approximately 74.48, which we can round to 74.
  • Average Calculation – Understanding how to calculate the average score based on total scores and the number of students.
  • Total Score Derivation – Calculating the total score of a group based on the average and the number of individuals.
  • Subtraction in Averages – Subtracting an individual score from the total to find the new average for the remaining group.
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