What is the average of odd numbers from 25 to 84? Here we will show you how to calculate the average of odd numbers from 25 to 84.
To find the average of the odd numbers from 25 to 84, we first calculate how many odd numbers there are from 25 to 84. Then, we calculate the sum of odd numbers from 25 to 84. And finally, we divide the sum by the number of odd numbers to get the average.
The range is from 25 to 84, and the odd numbers within that range are from 25 to 83. Therefore, the first odd number in the sequence is 25, and the last odd number in the sequence is 83.
Step 1) Calculate the total number of odd numbers from 25 to 84
Here we calculate the total number of odd numbers from 25 to 84 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 = (83 - 25 + 2) ÷ 2
tot = 60 ÷ 2
tot = 30
Total odd numbers from 25 to 84 = 30
Step 2) Calculate the sum of odd numbers from 25 to 84
To calculate the sum of odd numbers from 25 to 84, 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 = (30 ÷ 2) × (2 × 25 + (2 × (30 - 1))
sum = 15 × (50 + 58)
sum = 15 × 108
sum = 1620
Sum of odd numbers from 25 to 84 = 1620
Step 3) Calculate the average of odd numbers from 25 to 84
Almost done! Now we can calculate the average of odd numbers from 25 to 84 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 = 1620 ÷ 30
Average = 54
Average of odd numbers from 25 to 84 = 54
Average of Odd Numbers Calculator
Here you can calculate the average of odd numbers of a different sequence.