What is the average of odd numbers from 100 to 149? Here we will show you how to calculate the average of odd numbers from 100 to 149.
To find the average of the odd numbers from 100 to 149, we first calculate how many odd numbers there are from 100 to 149. Then, we calculate the sum of odd numbers from 100 to 149. And finally, we divide the sum by the number of odd numbers to get the average.
The range is from 100 to 149, and the odd numbers within that range are from 101 to 149. Therefore, the first odd number in the sequence is 101, and the last odd number in the sequence is 149.
Step 1) Calculate the total number of odd numbers from 100 to 149
Here we calculate the total number of odd numbers from 100 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 - 101 + 2) ÷ 2
tot = 50 ÷ 2
tot = 25
Total odd numbers from 100 to 149 = 25
Step 2) Calculate the sum of odd numbers from 100 to 149
To calculate the sum of odd numbers from 100 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 = (25 ÷ 2) × (2 × 101 + (2 × (25 - 1))
sum = 12.5 × (202 + 48)
sum = 12.5 × 250
sum = 3125
Sum of odd numbers from 100 to 149 = 3125
Step 3) Calculate the average of odd numbers from 100 to 149
Almost done! Now we can calculate the average of odd numbers from 100 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 = 3125 ÷ 25
Average = 125
Average of odd numbers from 100 to 149 = 125
Average of Odd Numbers Calculator
Here you can calculate the average of odd numbers of a different sequence.