What is the average of odd numbers from 1 to 308? Here we will show you how to calculate the average of odd numbers from 1 to 308.
To find the average of the odd numbers from 1 to 308, we first calculate how many odd numbers there are from 1 to 308. Then, we calculate the sum of odd numbers from 1 to 308. And finally, we divide the sum by the number of odd numbers to get the average.
The range is from 1 to 308, and the odd numbers within that range are from 1 to 307. Therefore, the first odd number in the sequence is 1, and the last odd number in the sequence is 307.
Step 1) Calculate the total number of odd numbers from 1 to 308
Here we calculate the total number of odd numbers from 1 to 308 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 = (307 - 1 + 2) ÷ 2
tot = 308 ÷ 2
tot = 154
Total odd numbers from 1 to 308 = 154
Step 2) Calculate the sum of odd numbers from 1 to 308
To calculate the sum of odd numbers from 1 to 308, 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 = (154 ÷ 2) × (2 × 1 + (2 × (154 - 1))
sum = 77 × (2 + 306)
sum = 77 × 308
sum = 23716
Sum of odd numbers from 1 to 308 = 23716
Step 3) Calculate the average of odd numbers from 1 to 308
Almost done! Now we can calculate the average of odd numbers from 1 to 308 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 = 23716 ÷ 154
Average = 154
Average of odd numbers from 1 to 308 = 154
Average of Odd Numbers Calculator
Here you can calculate the average of odd numbers of a different sequence.