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A teacher has an average score of 85 for her class of 20 students. If one studen

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Question: A teacher has an average score of 85 for her class of 20 students. If one student scores 95, what will be the new average if the class size increases to 21? (2023)

Options:

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

Correct Answer: 86

Exam Year: 2023

Solution: 

Total score = 85 × 20 + 95 = 1700 + 95 = 1795. New average = 1795 / 21 = 85.95, which rounds to 86.

A teacher has an average score of 85 for her class of 20 students. If one studen

Practice Questions

Q1
A teacher has an average score of 85 for her class of 20 students. If one student scores 95, what will be the new average if the class size increases to 21? (2023)
  1. 84
  2. 85
  3. 86
  4. 87

Questions & Step-by-Step Solutions

A teacher has an average score of 85 for her class of 20 students. If one student scores 95, what will be the new average if the class size increases to 21? (2023)
  • Step 1: Calculate the total score of the class with the average score. Multiply the average score (85) by the number of students (20). This gives you the total score of the class before the new student joins.
  • Step 2: Add the score of the new student (95) to the total score you calculated in Step 1. This gives you the new total score for the class.
  • Step 3: Now, count the new total number of students in the class. Since one student has joined, the new class size is 21.
  • Step 4: To find the new average score, divide the new total score (from Step 2) by the new number of students (21).
  • Step 5: Round the result from Step 4 to the nearest whole number to get the final average score.
  • Average Calculation – Understanding how to calculate the average score by summing total scores and dividing by the number of students.
  • Impact of Additional Data – Recognizing how adding a new score affects the overall average.
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