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A teacher has an average score of 85 in her class of 20 students. If one student

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Question: A teacher has an average score of 85 in her class of 20 students. If one student scores 95, what will be the new average if the student is removed from the class? (2023)

Options:

  1. 84
  2. 85
  3. 86
  4. 87

Correct Answer: 84

Exam Year: 2023

Solution: 

Total score = 85 × 20 = 1700. New total score = 1700 - 95 = 1605. New average = 1605 / 19 = 84.47, which rounds to 84.

A teacher has an average score of 85 in her class of 20 students. If one student

Practice Questions

Q1
A teacher has an average score of 85 in her class of 20 students. If one student scores 95, what will be the new average if the student is removed from the class? (2023)
  1. 84
  2. 85
  3. 86
  4. 87

Questions & Step-by-Step Solutions

A teacher has an average score of 85 in her class of 20 students. If one student scores 95, what will be the new average if the student is removed from the class? (2023)
  • Step 1: Calculate the total score of all students in the class. Multiply the average score (85) by the number of students (20). This gives you 85 × 20 = 1700.
  • Step 2: Subtract the score of the student who is being removed (95) from the total score. So, 1700 - 95 = 1605.
  • Step 3: Now, find the new average score. Since one student is removed, the number of students is now 19. Divide the new total score (1605) by the new number of students (19). So, 1605 ÷ 19 = 84.47.
  • Step 4: Round the new average score to the nearest whole number. 84.47 rounds to 84.
  • Average Calculation – Understanding how to calculate the average score by dividing the total score by the number of students.
  • Impact of Removing a Score – Analyzing how the removal of a student's score affects the overall average.
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