What is the average of odd numbers from 6 to 17? Here we will show you how to calculate the average of odd numbers from 6 to 17.
To find the average of the odd numbers from 6 to 17, we first calculate how many odd numbers there are from 6 to 17. Then, we calculate the sum of odd numbers from 6 to 17. And finally, we divide the sum by the number of odd numbers to get the average.
The range is from 6 to 17, and the odd numbers within that range are from 7 to 17. Therefore, the first odd number in the sequence is 7, and the last odd number in the sequence is 17.
Step 1) Calculate the total number of odd numbers from 6 to 17
Here we calculate the total number of odd numbers from 6 to 17 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 = (17 - 7 + 2) ÷ 2
tot = 12 ÷ 2
tot = 6
Total odd numbers from 6 to 17 = 6
Step 2) Calculate the sum of odd numbers from 6 to 17
To calculate the sum of odd numbers from 6 to 17, 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 = (6 ÷ 2) × (2 × 7 + (2 × (6 - 1))
sum = 3 × (14 + 10)
sum = 3 × 24
sum = 72
Sum of odd numbers from 6 to 17 = 72
Step 3) Calculate the average of odd numbers from 6 to 17
Almost done! Now we can calculate the average of odd numbers from 6 to 17 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 = 72 ÷ 6
Average = 12
Average of odd numbers from 6 to 17 = 12
Average of Odd Numbers Calculator
Here you can calculate the average of odd numbers of a different sequence.