What is the average of odd numbers from 6 to 20? Here we will show you how to calculate the average of odd numbers from 6 to 20.
To find the average of the odd numbers from 6 to 20, we first calculate how many odd numbers there are from 6 to 20. Then, we calculate the sum of odd numbers from 6 to 20. And finally, we divide the sum by the number of odd numbers to get the average.
The range is from 6 to 20, and the odd numbers within that range are from 7 to 19. Therefore, the first odd number in the sequence is 7, and the last odd number in the sequence is 19.
Step 1) Calculate the total number of odd numbers from 6 to 20
Here we calculate the total number of odd numbers from 6 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 - 7 + 2) ÷ 2
tot = 14 ÷ 2
tot = 7
Total odd numbers from 6 to 20 = 7
Step 2) Calculate the sum of odd numbers from 6 to 20
To calculate the sum of odd numbers from 6 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 = (7 ÷ 2) × (2 × 7 + (2 × (7 - 1))
sum = 3.5 × (14 + 12)
sum = 3.5 × 26
sum = 91
Sum of odd numbers from 6 to 20 = 91
Step 3) Calculate the average of odd numbers from 6 to 20
Almost done! Now we can calculate the average of odd numbers from 6 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 = 91 ÷ 7
Average = 13
Average of odd numbers from 6 to 20 = 13
Average of Odd Numbers Calculator
Here you can calculate the average of odd numbers of a different sequence.