What is the average of odd numbers from 2 to 46? Here we will show you how to calculate the average of odd numbers from 2 to 46.
To find the average of the odd numbers from 2 to 46, we first calculate how many odd numbers there are from 2 to 46. Then, we calculate the sum of odd numbers from 2 to 46. And finally, we divide the sum by the number of odd numbers to get the average.
The range is from 2 to 46, and the odd numbers within that range are from 3 to 45. Therefore, the first odd number in the sequence is 3, and the last odd number in the sequence is 45.
Step 1) Calculate the total number of odd numbers from 2 to 46
Here we calculate the total number of odd numbers from 2 to 46 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 = (45 - 3 + 2) ÷ 2
tot = 44 ÷ 2
tot = 22
Total odd numbers from 2 to 46 = 22
Step 2) Calculate the sum of odd numbers from 2 to 46
To calculate the sum of odd numbers from 2 to 46, 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 = (22 ÷ 2) × (2 × 3 + (2 × (22 - 1))
sum = 11 × (6 + 42)
sum = 11 × 48
sum = 528
Sum of odd numbers from 2 to 46 = 528
Step 3) Calculate the average of odd numbers from 2 to 46
Almost done! Now we can calculate the average of odd numbers from 2 to 46 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 = 528 ÷ 22
Average = 24
Average of odd numbers from 2 to 46 = 24
Average of Odd Numbers Calculator
Here you can calculate the average of odd numbers of a different sequence.