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The average of 4 numbers is 30. If one number is increased by 10, what will be t

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Question: The average of 4 numbers is 30. If one number is increased by 10, what will be the new average?

Options:

  1. 30
  2. 32.5
  3. 35
  4. 37.5

Correct Answer: 32.5

Solution: 

Total = 30 * 4 = 120. New total = 120 + 10 = 130. New average = 130 / 4 = 32.5.

The average of 4 numbers is 30. If one number is increased by 10, what will be t

Practice Questions

Q1
The average of 4 numbers is 30. If one number is increased by 10, what will be the new average?
  1. 30
  2. 32.5
  3. 35
  4. 37.5

Questions & Step-by-Step Solutions

The average of 4 numbers is 30. If one number is increased by 10, what will be the new average?
Correct Answer: 32.5
  • Step 1: Find the total of the 4 numbers by multiplying the average (30) by the number of numbers (4). So, 30 * 4 = 120.
  • Step 2: Increase one of the numbers by 10. This means we add 10 to the total we found in Step 1. So, 120 + 10 = 130.
  • Step 3: Calculate the new average by dividing the new total (130) by the number of numbers (4). So, 130 / 4 = 32.5.
  • Average Calculation – Understanding how to calculate the average of a set of numbers and how changes to the numbers affect the average.
  • Impact of Changes on Averages – Recognizing how increasing or decreasing a number in a set affects the overall average.
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