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A class has an average score of 75. If one student scored 90, what is the averag

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Question: A class has an average score of 75. If one student scored 90, what is the average score of the remaining students if there are 20 students in total?

Options:

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

Correct Answer: 74

Solution: 

The total score of the class is 75 * 20 = 1500. Removing the student who scored 90 gives a new total of 1500 - 90 = 1410. The average of the remaining 19 students is 1410 / 19 = 74.21, which rounds to 74.

A class has an average score of 75. If one student scored 90, what is the averag

Practice Questions

Q1
A class has an average score of 75. If one student scored 90, what is the average score of the remaining students if there are 20 students in total?
  1. 74
  2. 75
  3. 76
  4. 77

Questions & Step-by-Step Solutions

A class has an average score of 75. If one student scored 90, what is the average score of the remaining students if there are 20 students in total?
  • Step 1: Calculate the total score of the class by multiplying the average score by the number of students. Total score = 75 (average) * 20 (students) = 1500.
  • Step 2: Subtract the score of the student who scored 90 from the total score. New total score = 1500 - 90 = 1410.
  • Step 3: Determine the number of remaining students after removing the one student. Remaining students = 20 - 1 = 19.
  • Step 4: Calculate the average score of the remaining students by dividing the new total score by the number of remaining students. Average score = 1410 / 19 = 74.21.
  • Step 5: Round the average score to the nearest whole number. The rounded average score is 74.
  • Average Calculation – Understanding how to calculate the average score of a group by summing individual scores and dividing by the number of individuals.
  • Total Score Calculation – Calculating the total score of a class based on the average and the number of students.
  • Impact of Removing a Score – Understanding how removing an individual score affects the overall average of the remaining group.
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