What is the average of odd numbers from 8 to 19? Here we will show you how to calculate the average of odd numbers from 8 to 19.
To find the average of the odd numbers from 8 to 19, we first calculate how many odd numbers there are from 8 to 19. Then, we calculate the sum of odd numbers from 8 to 19. And finally, we divide the sum by the number of odd numbers to get the average.
The range is from 8 to 19, and the odd numbers within that range are from 9 to 19. Therefore, the first odd number in the sequence is 9, and the last odd number in the sequence is 19.
Step 1) Calculate the total number of odd numbers from 8 to 19
Here we calculate the total number of odd numbers from 8 to 19 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 - 9 + 2) ÷ 2
tot = 12 ÷ 2
tot = 6
Total odd numbers from 8 to 19 = 6
Step 2) Calculate the sum of odd numbers from 8 to 19
To calculate the sum of odd numbers from 8 to 19, 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 = (6 ÷ 2) × (2 × 9 + (2 × (6 - 1))
sum = 3 × (18 + 10)
sum = 3 × 28
sum = 84
Sum of odd numbers from 8 to 19 = 84
Step 3) Calculate the average of odd numbers from 8 to 19
Almost done! Now we can calculate the average of odd numbers from 8 to 19 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 = 84 ÷ 6
Average = 14
Average of odd numbers from 8 to 19 = 14
Average of Odd Numbers Calculator
Here you can calculate the average of odd numbers of a different sequence.