If the average of 8 numbers is 45, what is the average of the first 4 numbers if

Practice Questions

Q1
If the average of 8 numbers is 45, what is the average of the first 4 numbers if their sum is 180?
  1. 45
  2. 50
  3. 55
  4. 60

Questions & Step-by-Step Solutions

If the average of 8 numbers is 45, what is the average of the first 4 numbers if their sum is 180?
  • Step 1: Understand that the average of a set of numbers is found by dividing the sum of those numbers by the count of the numbers.
  • Step 2: We know the sum of the first 4 numbers is 180.
  • Step 3: To find the average of these 4 numbers, we divide the sum (180) by the count of numbers (4).
  • Step 4: Calculate 180 divided by 4, which equals 45.
  • Step 5: Therefore, the average of the first 4 numbers is 45.
  • Average Calculation – Understanding how to calculate the average by dividing the sum of a set of numbers by the count of those numbers.
  • Sum and Average Relationship – Recognizing the relationship between the sum of numbers and their average, especially in the context of subsets of a larger set.
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