What is the average of odd numbers from 1 to 1345? Here we will show you how to calculate the average of odd numbers from 1 to 1345.
To find the average of the odd numbers from 1 to 1345, we first calculate how many odd numbers there are from 1 to 1345. Then, we calculate the sum of odd numbers from 1 to 1345. And finally, we divide the sum by the number of odd numbers to get the average.
The range is from 1 to 1345, and the odd numbers within that range are from 1 to 1345. Therefore, the first odd number in the sequence is 1, and the last odd number in the sequence is 1345.
Step 1) Calculate the total number of odd numbers from 1 to 1345
Here we calculate the total number of odd numbers from 1 to 1345 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 = (1345 - 1 + 2) ÷ 2
tot = 1346 ÷ 2
tot = 673
Total odd numbers from 1 to 1345 = 673
Step 2) Calculate the sum of odd numbers from 1 to 1345
To calculate the sum of odd numbers from 1 to 1345, 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 = (673 ÷ 2) × (2 × 1 + (2 × (673 - 1))
sum = 336.5 × (2 + 1344)
sum = 336.5 × 1346
sum = 452929
Sum of odd numbers from 1 to 1345 = 452929
Step 3) Calculate the average of odd numbers from 1 to 1345
Almost done! Now we can calculate the average of odd numbers from 1 to 1345 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 = 452929 ÷ 673
Average = 673
Average of odd numbers from 1 to 1345 = 673
Average of Odd Numbers Calculator
Here you can calculate the average of odd numbers of a different sequence.