What is the average of odd numbers from 1 to 20? Here we will show you how to calculate the average of odd numbers from 1 to 20.
To find the average of the odd numbers from 1 to 20, we first calculate how many odd numbers there are from 1 to 20. Then, we calculate the sum of odd numbers from 1 to 20. And finally, we divide the sum by the number of odd numbers to get the average.
The range is from 1 to 20, and the odd numbers within that range are from 1 to 19. Therefore, the first odd number in the sequence is 1, and the last odd number in the sequence is 19.
Step 1) Calculate the total number of odd numbers from 1 to 20
Here we calculate the total number of odd numbers from 1 to 20 by entering the first and last odd number in the sequence into our formula. Here is the formula and the math:
tot = (last - first + 2) ÷ 2
tot = (19 - 1 + 2) ÷ 2
tot = 20 ÷ 2
tot = 10
Total odd numbers from 1 to 20 = 10
Step 2) Calculate the sum of odd numbers from 1 to 20
To calculate the sum of odd numbers from 1 to 20, you enter the total odd numbers (tot) from Step 1 and the first odd number in the sequence into our formula. Here is the formula and the math:
sum = (tot ÷ 2) × (2 × first + (2 × (tot - 1))
sum = (10 ÷ 2) × (2 × 1 + (2 × (10 - 1))
sum = 5 × (2 + 18)
sum = 5 × 20
sum = 100
Sum of odd numbers from 1 to 20 = 100
Step 3) Calculate the average of odd numbers from 1 to 20
Almost done! Now we can calculate the average of odd numbers from 1 to 20 by dividing the sum of odd numbers from Step 2 by the total odd numbers from Step 1. Here is the formula, the math, and the answer:
Average = sum ÷ tot
Average = 100 ÷ 10
Average = 10
Average of odd numbers from 1 to 20 = 10
Average of Odd Numbers Calculator
Here you can calculate the average of odd numbers of a different sequence.