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The average of 10 numbers is 50. If one number is removed, the average becomes 4

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Question: The average of 10 numbers is 50. If one number is removed, the average becomes 48. What is the removed number?

Options:

  1. 60
  2. 50
  3. 40
  4. 30

Correct Answer: 60

Solution: 

Total of 10 numbers = 10 * 50 = 500.\\n\\nTotal of 9 numbers = 9 * 48 = 432.\\n\\nRemoved number = 500 - 432 = 68.

The average of 10 numbers is 50. If one number is removed, the average becomes 4

Practice Questions

Q1
The average of 10 numbers is 50. If one number is removed, the average becomes 48. What is the removed number?
  1. 60
  2. 50
  3. 40
  4. 30

Questions & Step-by-Step Solutions

The average of 10 numbers is 50. If one number is removed, the average becomes 48. What is the removed number?
  • Step 1: Calculate the total of the 10 numbers using the average. Since the average is 50 and there are 10 numbers, multiply 50 by 10. This gives you 500.
  • Step 2: Calculate the total of the 9 numbers after one number is removed. The new average is 48, so multiply 48 by 9. This gives you 432.
  • Step 3: Find the removed number by subtracting the total of the 9 numbers from the total of the 10 numbers. So, subtract 432 from 500. This gives you 68.
  • Average Calculation – Understanding how to calculate the average and how it changes when a number is removed.
  • Total Sum of Numbers – Calculating the total sum of a set of numbers based on their average.
  • Impact of Removing a Number – Analyzing how the removal of a number affects the overall average.
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