What is the average of odd numbers from 126 to 165? Here we will show you how to calculate the average of odd numbers from 126 to 165.
To find the average of the odd numbers from 126 to 165, we first calculate how many odd numbers there are from 126 to 165. Then, we calculate the sum of odd numbers from 126 to 165. And finally, we divide the sum by the number of odd numbers to get the average.
The range is from 126 to 165, and the odd numbers within that range are from 127 to 165. Therefore, the first odd number in the sequence is 127, and the last odd number in the sequence is 165.
Step 1) Calculate the total number of odd numbers from 126 to 165
Here we calculate the total number of odd numbers from 126 to 165 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 = (165 - 127 + 2) ÷ 2
tot = 40 ÷ 2
tot = 20
Total odd numbers from 126 to 165 = 20
Step 2) Calculate the sum of odd numbers from 126 to 165
To calculate the sum of odd numbers from 126 to 165, 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 = (20 ÷ 2) × (2 × 127 + (2 × (20 - 1))
sum = 10 × (254 + 38)
sum = 10 × 292
sum = 2920
Sum of odd numbers from 126 to 165 = 2920
Step 3) Calculate the average of odd numbers from 126 to 165
Almost done! Now we can calculate the average of odd numbers from 126 to 165 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 = 2920 ÷ 20
Average = 146
Average of odd numbers from 126 to 165 = 146
Average of Odd Numbers Calculator
Here you can calculate the average of odd numbers of a different sequence.