What is the average of odd numbers from 2 to 22? Here we will show you how to calculate the average of odd numbers from 2 to 22.
To find the average of the odd numbers from 2 to 22, we first calculate how many odd numbers there are from 2 to 22. Then, we calculate the sum of odd numbers from 2 to 22. And finally, we divide the sum by the number of odd numbers to get the average.
The range is from 2 to 22, and the odd numbers within that range are from 3 to 21. Therefore, the first odd number in the sequence is 3, and the last odd number in the sequence is 21.
Step 1) Calculate the total number of odd numbers from 2 to 22
Here we calculate the total number of odd numbers from 2 to 22 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 = (21 - 3 + 2) ÷ 2
tot = 20 ÷ 2
tot = 10
Total odd numbers from 2 to 22 = 10
Step 2) Calculate the sum of odd numbers from 2 to 22
To calculate the sum of odd numbers from 2 to 22, 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 × 3 + (2 × (10 - 1))
sum = 5 × (6 + 18)
sum = 5 × 24
sum = 120
Sum of odd numbers from 2 to 22 = 120
Step 3) Calculate the average of odd numbers from 2 to 22
Almost done! Now we can calculate the average of odd numbers from 2 to 22 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 = 120 ÷ 10
Average = 12
Average of odd numbers from 2 to 22 = 12
Average of Odd Numbers Calculator
Here you can calculate the average of odd numbers of a different sequence.