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The average of 10 numbers is 50. If one number is increased by 10, what will be

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Question: The average of 10 numbers is 50. If one number is increased by 10, what will be the new average?

Options:

  1. 50
  2. 51
  3. 52
  4. 53

Correct Answer: 51

Solution: 

The total of the 10 numbers is 10 * 50 = 500. If one number is increased by 10, the new total becomes 500 + 10 = 510. The new average is 510 / 10 = 51.

The average of 10 numbers is 50. If one number is increased by 10, what will be

Practice Questions

Q1
The average of 10 numbers is 50. If one number is increased by 10, what will be the new average?
  1. 50
  2. 51
  3. 52
  4. 53

Questions & Step-by-Step Solutions

The average of 10 numbers is 50. If one number is increased by 10, what will be the new average?
Correct Answer: 51
  • Step 1: Understand that the average of 10 numbers is 50.
  • Step 2: Calculate the total of the 10 numbers by multiplying the average by the number of numbers: 10 * 50 = 500.
  • Step 3: Recognize that one number is increased by 10.
  • Step 4: Add the increase to the total: 500 + 10 = 510.
  • Step 5: Calculate the new average by dividing the new total by the number of numbers: 510 / 10 = 51.
  • Average Calculation – Understanding how to calculate the average of a set of numbers and how changes to individual numbers affect the overall average.
  • Total Sum Adjustment – Recognizing that increasing one number in a set affects the total sum and subsequently the average.
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