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The mean of 10 numbers is 50. If one number is removed, the mean becomes 48. Wha

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

Options:

  1. 52
  2. 50
  3. 48
  4. 46

Correct Answer: 52

Solution: 

Total of 10 numbers = 10 * 50 = 500. Total of 9 numbers = 9 * 48 = 432. Removed number = 500 - 432 = 68.

The mean of 10 numbers is 50. If one number is removed, the mean becomes 48. Wha

Practice Questions

Q1
The mean of 10 numbers is 50. If one number is removed, the mean becomes 48. What is the removed number?
  1. 52
  2. 50
  3. 48
  4. 46

Questions & Step-by-Step Solutions

The mean of 10 numbers is 50. If one number is removed, the mean becomes 48. What is the removed number?
  • Step 1: Calculate the total of the 10 numbers using the mean. Since the mean is 50 and there are 10 numbers, multiply 50 by 10. This gives you 500.
  • Step 2: Calculate the total of the remaining 9 numbers after one number is removed. The new mean 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.
  • Mean Calculation – Understanding how to calculate the mean and how it changes when a number is removed.
  • Total Sum of Numbers – Calculating the total sum of a set of numbers based on the mean and the number of elements.
  • Difference Calculation – Finding the difference between the total sums before and after removing a number.
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