What is the average of odd numbers from 2 to 122? Here we will show you how to calculate the average of odd numbers from 2 to 122.
To find the average of the odd numbers from 2 to 122, we first calculate how many odd numbers there are from 2 to 122. Then, we calculate the sum of odd numbers from 2 to 122. And finally, we divide the sum by the number of odd numbers to get the average.
The range is from 2 to 122, and the odd numbers within that range are from 3 to 121. Therefore, the first odd number in the sequence is 3, and the last odd number in the sequence is 121.
Step 1) Calculate the total number of odd numbers from 2 to 122
Here we calculate the total number of odd numbers from 2 to 122 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 = (121 - 3 + 2) ÷ 2
tot = 120 ÷ 2
tot = 60
Total odd numbers from 2 to 122 = 60
Step 2) Calculate the sum of odd numbers from 2 to 122
To calculate the sum of odd numbers from 2 to 122, 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 = (60 ÷ 2) × (2 × 3 + (2 × (60 - 1))
sum = 30 × (6 + 118)
sum = 30 × 124
sum = 3720
Sum of odd numbers from 2 to 122 = 3720
Step 3) Calculate the average of odd numbers from 2 to 122
Almost done! Now we can calculate the average of odd numbers from 2 to 122 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 = 3720 ÷ 60
Average = 62
Average of odd numbers from 2 to 122 = 62
Average of Odd Numbers Calculator
Here you can calculate the average of odd numbers of a different sequence.