What is the average of odd numbers from 2 to 156? Here we will show you how to calculate the average of odd numbers from 2 to 156.
To find the average of the odd numbers from 2 to 156, we first calculate how many odd numbers there are from 2 to 156. Then, we calculate the sum of odd numbers from 2 to 156. And finally, we divide the sum by the number of odd numbers to get the average.
The range is from 2 to 156, and the odd numbers within that range are from 3 to 155. Therefore, the first odd number in the sequence is 3, and the last odd number in the sequence is 155.
Step 1) Calculate the total number of odd numbers from 2 to 156
Here we calculate the total number of odd numbers from 2 to 156 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 = (155 - 3 + 2) ÷ 2
tot = 154 ÷ 2
tot = 77
Total odd numbers from 2 to 156 = 77
Step 2) Calculate the sum of odd numbers from 2 to 156
To calculate the sum of odd numbers from 2 to 156, 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 = (77 ÷ 2) × (2 × 3 + (2 × (77 - 1))
sum = 38.5 × (6 + 152)
sum = 38.5 × 158
sum = 6083
Sum of odd numbers from 2 to 156 = 6083
Step 3) Calculate the average of odd numbers from 2 to 156
Almost done! Now we can calculate the average of odd numbers from 2 to 156 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 = 6083 ÷ 77
Average = 79
Average of odd numbers from 2 to 156 = 79
Average of Odd Numbers Calculator
Here you can calculate the average of odd numbers of a different sequence.