What is the average of odd numbers from 1 to 1359? Here we will show you how to calculate the average of odd numbers from 1 to 1359.
To find the average of the odd numbers from 1 to 1359, we first calculate how many odd numbers there are from 1 to 1359. Then, we calculate the sum of odd numbers from 1 to 1359. And finally, we divide the sum by the number of odd numbers to get the average.
The range is from 1 to 1359, and the odd numbers within that range are from 1 to 1359. Therefore, the first odd number in the sequence is 1, and the last odd number in the sequence is 1359.
Step 1) Calculate the total number of odd numbers from 1 to 1359
Here we calculate the total number of odd numbers from 1 to 1359 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 = (1359 - 1 + 2) ÷ 2
tot = 1360 ÷ 2
tot = 680
Total odd numbers from 1 to 1359 = 680
Step 2) Calculate the sum of odd numbers from 1 to 1359
To calculate the sum of odd numbers from 1 to 1359, 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 = (680 ÷ 2) × (2 × 1 + (2 × (680 - 1))
sum = 340 × (2 + 1358)
sum = 340 × 1360
sum = 462400
Sum of odd numbers from 1 to 1359 = 462400
Step 3) Calculate the average of odd numbers from 1 to 1359
Almost done! Now we can calculate the average of odd numbers from 1 to 1359 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 = 462400 ÷ 680
Average = 680
Average of odd numbers from 1 to 1359 = 680
Average of Odd Numbers Calculator
Here you can calculate the average of odd numbers of a different sequence.