How to Calculate the Average of Natural Numbers up to 20

Learn how to find the average of natural numbers from 1 to 20 using a simple formula and step-by-step explanation.

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The average of the natural numbers up to 20 is calculated by adding all the numbers from 1 to 20 and then dividing by 20. The formula for calculating the average is (n+1)/2, where n is the highest number in the range. So, for the numbers up to 20, the average is (20+1)/2, which simplifies to 10.5.

FAQs & Answers

  1. What is the formula to find the average of natural numbers up to n? The average of natural numbers up to n is calculated using the formula (n + 1) / 2, where n is the highest number in the range.
  2. How do you calculate the average of numbers from 1 to 20? Add all the numbers from 1 to 20 and then divide the sum by 20, or simply use the formula (20 + 1) / 2, which equals 10.5.
  3. Why does the average of natural numbers from 1 to n equal (n + 1) / 2? Because the natural numbers from 1 to n form an arithmetic sequence with equal intervals, the average is the midpoint, calculated as (n + 1) divided by 2.