What is the average of odd numbers from 8 to 30? Here we will show you how to calculate the average of odd numbers from 8 to 30.
To find the average of the odd numbers from 8 to 30, we first calculate how many odd numbers there are from 8 to 30. Then, we calculate the sum of odd numbers from 8 to 30. And finally, we divide the sum by the number of odd numbers to get the average.
The range is from 8 to 30, and the odd numbers within that range are from 9 to 29. Therefore, the first odd number in the sequence is 9, and the last odd number in the sequence is 29.
Step 1) Calculate the total number of odd numbers from 8 to 30
Here we calculate the total number of odd numbers from 8 to 30 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 = (29 - 9 + 2) ÷ 2
tot = 22 ÷ 2
tot = 11
Total odd numbers from 8 to 30 = 11
Step 2) Calculate the sum of odd numbers from 8 to 30
To calculate the sum of odd numbers from 8 to 30, 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 = (11 ÷ 2) × (2 × 9 + (2 × (11 - 1))
sum = 5.5 × (18 + 20)
sum = 5.5 × 38
sum = 209
Sum of odd numbers from 8 to 30 = 209
Step 3) Calculate the average of odd numbers from 8 to 30
Almost done! Now we can calculate the average of odd numbers from 8 to 30 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 = 209 ÷ 11
Average = 19
Average of odd numbers from 8 to 30 = 19
Average of Odd Numbers Calculator
Here you can calculate the average of odd numbers of a different sequence.