What is the average of odd numbers from 1 to 49? Here we will show you how to calculate the average of odd numbers from 1 to 49.
To find the average of the odd numbers from 1 to 49, we first calculate how many odd numbers there are from 1 to 49. Then, we calculate the sum of odd numbers from 1 to 49. And finally, we divide the sum by the number of odd numbers to get the average.
The range is from 1 to 49, and the odd numbers within that range are from 1 to 49. Therefore, the first odd number in the sequence is 1, and the last odd number in the sequence is 49.
Step 1) Calculate the total number of odd numbers from 1 to 49
Here we calculate the total number of odd numbers from 1 to 49 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 = (49 - 1 + 2) ÷ 2
tot = 50 ÷ 2
tot = 25
Total odd numbers from 1 to 49 = 25
Step 2) Calculate the sum of odd numbers from 1 to 49
To calculate the sum of odd numbers from 1 to 49, 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 = (25 ÷ 2) × (2 × 1 + (2 × (25 - 1))
sum = 12.5 × (2 + 48)
sum = 12.5 × 50
sum = 625
Sum of odd numbers from 1 to 49 = 625
Step 3) Calculate the average of odd numbers from 1 to 49
Almost done! Now we can calculate the average of odd numbers from 1 to 49 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 = 625 ÷ 25
Average = 25
Average of odd numbers from 1 to 49 = 25
Average of Odd Numbers Calculator
Here you can calculate the average of odd numbers of a different sequence.