What is the average of odd numbers from 2 to 15? Here we will show you how to calculate the average of odd numbers from 2 to 15.
To find the average of the odd numbers from 2 to 15, we first calculate how many odd numbers there are from 2 to 15. Then, we calculate the sum of odd numbers from 2 to 15. And finally, we divide the sum by the number of odd numbers to get the average.
The range is from 2 to 15, and the odd numbers within that range are from 3 to 15. Therefore, the first odd number in the sequence is 3, and the last odd number in the sequence is 15.
Step 1) Calculate the total number of odd numbers from 2 to 15
Here we calculate the total number of odd numbers from 2 to 15 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 = (15 - 3 + 2) ÷ 2
tot = 14 ÷ 2
tot = 7
Total odd numbers from 2 to 15 = 7
Step 2) Calculate the sum of odd numbers from 2 to 15
To calculate the sum of odd numbers from 2 to 15, 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 = (7 ÷ 2) × (2 × 3 + (2 × (7 - 1))
sum = 3.5 × (6 + 12)
sum = 3.5 × 18
sum = 63
Sum of odd numbers from 2 to 15 = 63
Step 3) Calculate the average of odd numbers from 2 to 15
Almost done! Now we can calculate the average of odd numbers from 2 to 15 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 = 63 ÷ 7
Average = 9
Average of odd numbers from 2 to 15 = 9
Average of Odd Numbers Calculator
Here you can calculate the average of odd numbers of a different sequence.