What is the average of odd numbers from 15 to 36? Here we will show you how to calculate the average of odd numbers from 15 to 36.
To find the average of the odd numbers from 15 to 36, we first calculate how many odd numbers there are from 15 to 36. Then, we calculate the sum of odd numbers from 15 to 36. And finally, we divide the sum by the number of odd numbers to get the average.
The range is from 15 to 36, and the odd numbers within that range are from 15 to 35. Therefore, the first odd number in the sequence is 15, and the last odd number in the sequence is 35.
Step 1) Calculate the total number of odd numbers from 15 to 36
Here we calculate the total number of odd numbers from 15 to 36 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 = (35 - 15 + 2) ÷ 2
tot = 22 ÷ 2
tot = 11
Total odd numbers from 15 to 36 = 11
Step 2) Calculate the sum of odd numbers from 15 to 36
To calculate the sum of odd numbers from 15 to 36, 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 × 15 + (2 × (11 - 1))
sum = 5.5 × (30 + 20)
sum = 5.5 × 50
sum = 275
Sum of odd numbers from 15 to 36 = 275
Step 3) Calculate the average of odd numbers from 15 to 36
Almost done! Now we can calculate the average of odd numbers from 15 to 36 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 = 275 ÷ 11
Average = 25
Average of odd numbers from 15 to 36 = 25
Average of Odd Numbers Calculator
Here you can calculate the average of odd numbers of a different sequence.