What is the average of odd numbers from 8 to 64? Here we will show you how to calculate the average of odd numbers from 8 to 64.
To find the average of the odd numbers from 8 to 64, we first calculate how many odd numbers there are from 8 to 64. Then, we calculate the sum of odd numbers from 8 to 64. And finally, we divide the sum by the number of odd numbers to get the average.
The range is from 8 to 64, and the odd numbers within that range are from 9 to 63. Therefore, the first odd number in the sequence is 9, and the last odd number in the sequence is 63.
Step 1) Calculate the total number of odd numbers from 8 to 64
Here we calculate the total number of odd numbers from 8 to 64 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 = (63 - 9 + 2) ÷ 2
tot = 56 ÷ 2
tot = 28
Total odd numbers from 8 to 64 = 28
Step 2) Calculate the sum of odd numbers from 8 to 64
To calculate the sum of odd numbers from 8 to 64, 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 = (28 ÷ 2) × (2 × 9 + (2 × (28 - 1))
sum = 14 × (18 + 54)
sum = 14 × 72
sum = 1008
Sum of odd numbers from 8 to 64 = 1008
Step 3) Calculate the average of odd numbers from 8 to 64
Almost done! Now we can calculate the average of odd numbers from 8 to 64 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 = 1008 ÷ 28
Average = 36
Average of odd numbers from 8 to 64 = 36
Average of Odd Numbers Calculator
Here you can calculate the average of odd numbers of a different sequence.