What is the average of odd numbers from 69 to 72? Here we will show you how to calculate the average of odd numbers from 69 to 72.
To find the average of the odd numbers from 69 to 72, we first calculate how many odd numbers there are from 69 to 72. Then, we calculate the sum of odd numbers from 69 to 72. And finally, we divide the sum by the number of odd numbers to get the average.
The range is from 69 to 72, and the odd numbers within that range are from 69 to 71. Therefore, the first odd number in the sequence is 69, and the last odd number in the sequence is 71.
Step 1) Calculate the total number of odd numbers from 69 to 72
Here we calculate the total number of odd numbers from 69 to 72 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 = (71 - 69 + 2) ÷ 2
tot = 4 ÷ 2
tot = 2
Total odd numbers from 69 to 72 = 2
Step 2) Calculate the sum of odd numbers from 69 to 72
To calculate the sum of odd numbers from 69 to 72, 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 = (2 ÷ 2) × (2 × 69 + (2 × (2 - 1))
sum = 1 × (138 + 2)
sum = 1 × 140
sum = 140
Sum of odd numbers from 69 to 72 = 140
Step 3) Calculate the average of odd numbers from 69 to 72
Almost done! Now we can calculate the average of odd numbers from 69 to 72 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 = 140 ÷ 2
Average = 70
Average of odd numbers from 69 to 72 = 70
Average of Odd Numbers Calculator
Here you can calculate the average of odd numbers of a different sequence.