What is the average of odd numbers from 2 to 70? Here we will show you how to calculate the average of odd numbers from 2 to 70.
To find the average of the odd numbers from 2 to 70, we first calculate how many odd numbers there are from 2 to 70. Then, we calculate the sum of odd numbers from 2 to 70. And finally, we divide the sum by the number of odd numbers to get the average.
The range is from 2 to 70, and the odd numbers within that range are from 3 to 69. Therefore, the first odd number in the sequence is 3, and the last odd number in the sequence is 69.
Step 1) Calculate the total number of odd numbers from 2 to 70
Here we calculate the total number of odd numbers from 2 to 70 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 = (69 - 3 + 2) ÷ 2
tot = 68 ÷ 2
tot = 34
Total odd numbers from 2 to 70 = 34
Step 2) Calculate the sum of odd numbers from 2 to 70
To calculate the sum of odd numbers from 2 to 70, 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 = (34 ÷ 2) × (2 × 3 + (2 × (34 - 1))
sum = 17 × (6 + 66)
sum = 17 × 72
sum = 1224
Sum of odd numbers from 2 to 70 = 1224
Step 3) Calculate the average of odd numbers from 2 to 70
Almost done! Now we can calculate the average of odd numbers from 2 to 70 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 = 1224 ÷ 34
Average = 36
Average of odd numbers from 2 to 70 = 36
Average of Odd Numbers Calculator
Here you can calculate the average of odd numbers of a different sequence.