What is the average of odd numbers from 2 to 23? Here we will show you how to calculate the average of odd numbers from 2 to 23.
To find the average of the odd numbers from 2 to 23, we first calculate how many odd numbers there are from 2 to 23. Then, we calculate the sum of odd numbers from 2 to 23. And finally, we divide the sum by the number of odd numbers to get the average.
The range is from 2 to 23, and the odd numbers within that range are from 3 to 23. Therefore, the first odd number in the sequence is 3, and the last odd number in the sequence is 23.
Step 1) Calculate the total number of odd numbers from 2 to 23
Here we calculate the total number of odd numbers from 2 to 23 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 = (23 - 3 + 2) ÷ 2
tot = 22 ÷ 2
tot = 11
Total odd numbers from 2 to 23 = 11
Step 2) Calculate the sum of odd numbers from 2 to 23
To calculate the sum of odd numbers from 2 to 23, 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 = (11 ÷ 2) × (2 × 3 + (2 × (11 - 1))
sum = 5.5 × (6 + 20)
sum = 5.5 × 26
sum = 143
Sum of odd numbers from 2 to 23 = 143
Step 3) Calculate the average of odd numbers from 2 to 23
Almost done! Now we can calculate the average of odd numbers from 2 to 23 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 = 143 ÷ 11
Average = 13
Average of odd numbers from 2 to 23 = 13
Average of Odd Numbers Calculator
Here you can calculate the average of odd numbers of a different sequence.