What is the average of odd numbers from 8 to 23? Here we will show you how to calculate the average of odd numbers from 8 to 23.
To find the average of the odd numbers from 8 to 23, we first calculate how many odd numbers there are from 8 to 23. Then, we calculate the sum of odd numbers from 8 to 23. And finally, we divide the sum by the number of odd numbers to get the average.
The range is from 8 to 23, and the odd numbers within that range are from 9 to 23. Therefore, the first odd number in the sequence is 9, and the last odd number in the sequence is 23.
Step 1) Calculate the total number of odd numbers from 8 to 23
Here we calculate the total number of odd numbers from 8 to 23 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 = (23 - 9 + 2) ÷ 2
tot = 16 ÷ 2
tot = 8
Total odd numbers from 8 to 23 = 8
Step 2) Calculate the sum of odd numbers from 8 to 23
To calculate the sum of odd numbers from 8 to 23, 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 = (8 ÷ 2) × (2 × 9 + (2 × (8 - 1))
sum = 4 × (18 + 14)
sum = 4 × 32
sum = 128
Sum of odd numbers from 8 to 23 = 128
Step 3) Calculate the average of odd numbers from 8 to 23
Almost done! Now we can calculate the average of odd numbers from 8 to 23 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 = 128 ÷ 8
Average = 16
Average of odd numbers from 8 to 23 = 16
Average of Odd Numbers Calculator
Here you can calculate the average of odd numbers of a different sequence.