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

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

Options:

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

Correct Answer: 51

Solution:

Total sum = 5 * 50 = 250. New total = 250 + 10 = 260. New average = 260 / 5 = 52.

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

Practice Questions

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

Questions & Step-by-Step Solutions

The average of five numbers is 50. If one number is increased by 10, what will be the new average?
  • Step 1: Find the total sum of the five numbers. Since the average is 50, multiply 50 by 5. This gives you 250.
  • Step 2: Increase one of the numbers by 10. So, add 10 to the total sum. Now the new total sum is 250 + 10, which equals 260.
  • Step 3: Calculate the new average. To find the new average, divide the new total sum (260) by the number of numbers (5). So, 260 divided by 5 equals 52.
  • Average Calculation – Understanding how to calculate the average of a set of numbers and how changes to individual numbers affect the overall average.
  • Impact of Changes on Averages – Recognizing that increasing one number in a set will increase the average proportionally based on the number of elements.
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