What is the average of odd numbers from 1 to 149? Here we will show you how to calculate the average of odd numbers from 1 to 149.
To find the average of the odd numbers from 1 to 149, we first calculate how many odd numbers there are from 1 to 149. Then, we calculate the sum of odd numbers from 1 to 149. And finally, we divide the sum by the number of odd numbers to get the average.
The range is from 1 to 149, and the odd numbers within that range are from 1 to 149. Therefore, the first odd number in the sequence is 1, and the last odd number in the sequence is 149.
Step 1) Calculate the total number of odd numbers from 1 to 149
Here we calculate the total number of odd numbers from 1 to 149 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 = (149 - 1 + 2) ÷ 2
tot = 150 ÷ 2
tot = 75
Total odd numbers from 1 to 149 = 75
Step 2) Calculate the sum of odd numbers from 1 to 149
To calculate the sum of odd numbers from 1 to 149, 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 = (75 ÷ 2) × (2 × 1 + (2 × (75 - 1))
sum = 37.5 × (2 + 148)
sum = 37.5 × 150
sum = 5625
Sum of odd numbers from 1 to 149 = 5625
Step 3) Calculate the average of odd numbers from 1 to 149
Almost done! Now we can calculate the average of odd numbers from 1 to 149 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 = 5625 ÷ 75
Average = 75
Average of odd numbers from 1 to 149 = 75
Average of Odd Numbers Calculator
Here you can calculate the average of odd numbers of a different sequence.