What is the average of odd numbers from 12 to 31? Here we will show you how to calculate the average of odd numbers from 12 to 31.
To find the average of the odd numbers from 12 to 31, we first calculate how many odd numbers there are from 12 to 31. Then, we calculate the sum of odd numbers from 12 to 31. And finally, we divide the sum by the number of odd numbers to get the average.
The range is from 12 to 31, and the odd numbers within that range are from 13 to 31. Therefore, the first odd number in the sequence is 13, and the last odd number in the sequence is 31.
Step 1) Calculate the total number of odd numbers from 12 to 31
Here we calculate the total number of odd numbers from 12 to 31 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 = (31 - 13 + 2) ÷ 2
tot = 20 ÷ 2
tot = 10
Total odd numbers from 12 to 31 = 10
Step 2) Calculate the sum of odd numbers from 12 to 31
To calculate the sum of odd numbers from 12 to 31, 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 = (10 ÷ 2) × (2 × 13 + (2 × (10 - 1))
sum = 5 × (26 + 18)
sum = 5 × 44
sum = 220
Sum of odd numbers from 12 to 31 = 220
Step 3) Calculate the average of odd numbers from 12 to 31
Almost done! Now we can calculate the average of odd numbers from 12 to 31 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 = 220 ÷ 10
Average = 22
Average of odd numbers from 12 to 31 = 22
Average of Odd Numbers Calculator
Here you can calculate the average of odd numbers of a different sequence.