What is the average of odd numbers from 8 to 119? Here we will show you how to calculate the average of odd numbers from 8 to 119.
To find the average of the odd numbers from 8 to 119, we first calculate how many odd numbers there are from 8 to 119. Then, we calculate the sum of odd numbers from 8 to 119. And finally, we divide the sum by the number of odd numbers to get the average.
The range is from 8 to 119, and the odd numbers within that range are from 9 to 119. Therefore, the first odd number in the sequence is 9, and the last odd number in the sequence is 119.
Step 1) Calculate the total number of odd numbers from 8 to 119
Here we calculate the total number of odd numbers from 8 to 119 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 = (119 - 9 + 2) ÷ 2
tot = 112 ÷ 2
tot = 56
Total odd numbers from 8 to 119 = 56
Step 2) Calculate the sum of odd numbers from 8 to 119
To calculate the sum of odd numbers from 8 to 119, 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 = (56 ÷ 2) × (2 × 9 + (2 × (56 - 1))
sum = 28 × (18 + 110)
sum = 28 × 128
sum = 3584
Sum of odd numbers from 8 to 119 = 3584
Step 3) Calculate the average of odd numbers from 8 to 119
Almost done! Now we can calculate the average of odd numbers from 8 to 119 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 = 3584 ÷ 56
Average = 64
Average of odd numbers from 8 to 119 = 64
Average of Odd Numbers Calculator
Here you can calculate the average of odd numbers of a different sequence.