What is the average of odd numbers from 1 to 1303? Here we will show you how to calculate the average of odd numbers from 1 to 1303.
To find the average of the odd numbers from 1 to 1303, we first calculate how many odd numbers there are from 1 to 1303. Then, we calculate the sum of odd numbers from 1 to 1303. And finally, we divide the sum by the number of odd numbers to get the average.
The range is from 1 to 1303, and the odd numbers within that range are from 1 to 1303. Therefore, the first odd number in the sequence is 1, and the last odd number in the sequence is 1303.
Step 1) Calculate the total number of odd numbers from 1 to 1303
Here we calculate the total number of odd numbers from 1 to 1303 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 = (1303 - 1 + 2) ÷ 2
tot = 1304 ÷ 2
tot = 652
Total odd numbers from 1 to 1303 = 652
Step 2) Calculate the sum of odd numbers from 1 to 1303
To calculate the sum of odd numbers from 1 to 1303, 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 = (652 ÷ 2) × (2 × 1 + (2 × (652 - 1))
sum = 326 × (2 + 1302)
sum = 326 × 1304
sum = 425104
Sum of odd numbers from 1 to 1303 = 425104
Step 3) Calculate the average of odd numbers from 1 to 1303
Almost done! Now we can calculate the average of odd numbers from 1 to 1303 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 = 425104 ÷ 652
Average = 652
Average of odd numbers from 1 to 1303 = 652
Average of Odd Numbers Calculator
Here you can calculate the average of odd numbers of a different sequence.