What is the average of odd numbers from 12 to 27? Here we will show you how to calculate the average of odd numbers from 12 to 27.
To find the average of the odd numbers from 12 to 27, we first calculate how many odd numbers there are from 12 to 27. Then, we calculate the sum of odd numbers from 12 to 27. And finally, we divide the sum by the number of odd numbers to get the average.
The range is from 12 to 27, and the odd numbers within that range are from 13 to 27. Therefore, the first odd number in the sequence is 13, and the last odd number in the sequence is 27.
Step 1) Calculate the total number of odd numbers from 12 to 27
Here we calculate the total number of odd numbers from 12 to 27 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 = (27 - 13 + 2) ÷ 2
tot = 16 ÷ 2
tot = 8
Total odd numbers from 12 to 27 = 8
Step 2) Calculate the sum of odd numbers from 12 to 27
To calculate the sum of odd numbers from 12 to 27, 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 = (8 ÷ 2) × (2 × 13 + (2 × (8 - 1))
sum = 4 × (26 + 14)
sum = 4 × 40
sum = 160
Sum of odd numbers from 12 to 27 = 160
Step 3) Calculate the average of odd numbers from 12 to 27
Almost done! Now we can calculate the average of odd numbers from 12 to 27 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 = 160 ÷ 8
Average = 20
Average of odd numbers from 12 to 27 = 20
Average of Odd Numbers Calculator
Here you can calculate the average of odd numbers of a different sequence.