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A teacher has 5 students with average marks of 70. If one student scores 90, wha

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Question: A teacher has 5 students with average marks of 70. If one student scores 90, what will be the new average?

Options:

  1. 72
  2. 74
  3. 76
  4. 78

Correct Answer: 74

Solution:

Total marks of 5 students = 5 * 70 = 350. New total = 350 + 90 = 440. New average = 440 / 6 = 73.33, rounded to 74.

A teacher has 5 students with average marks of 70. If one student scores 90, wha

Practice Questions

Q1
A teacher has 5 students with average marks of 70. If one student scores 90, what will be the new average?
  1. 72
  2. 74
  3. 76
  4. 78

Questions & Step-by-Step Solutions

A teacher has 5 students with average marks of 70. If one student scores 90, what will be the new average?
  • Step 1: Calculate the total marks of the 5 students using the average. Multiply the average marks (70) by the number of students (5). Total marks = 70 * 5 = 350.
  • Step 2: Add the score of the new student (90) to the total marks. New total marks = 350 + 90 = 440.
  • Step 3: Count the total number of students now, which is 5 original students + 1 new student = 6 students.
  • Step 4: Calculate the new average by dividing the new total marks (440) by the total number of students (6). New average = 440 / 6 = 73.33.
  • Step 5: Round the new average to the nearest whole number. The new average rounded is 74.
  • Average Calculation – Understanding how to calculate the average by summing total marks and dividing by the number of students.
  • Impact of Additional Scores – Recognizing how adding a new score affects the overall average.
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