What is the average of odd numbers from 6 to 150? Here we will show you how to calculate the average of odd numbers from 6 to 150.
To find the average of the odd numbers from 6 to 150, we first calculate how many odd numbers there are from 6 to 150. Then, we calculate the sum of odd numbers from 6 to 150. And finally, we divide the sum by the number of odd numbers to get the average.
The range is from 6 to 150, and the odd numbers within that range are from 7 to 149. Therefore, the first odd number in the sequence is 7, and the last odd number in the sequence is 149.
Step 1) Calculate the total number of odd numbers from 6 to 150
Here we calculate the total number of odd numbers from 6 to 150 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 - 7 + 2) ÷ 2
tot = 144 ÷ 2
tot = 72
Total odd numbers from 6 to 150 = 72
Step 2) Calculate the sum of odd numbers from 6 to 150
To calculate the sum of odd numbers from 6 to 150, 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 = (72 ÷ 2) × (2 × 7 + (2 × (72 - 1))
sum = 36 × (14 + 142)
sum = 36 × 156
sum = 5616
Sum of odd numbers from 6 to 150 = 5616
Step 3) Calculate the average of odd numbers from 6 to 150
Almost done! Now we can calculate the average of odd numbers from 6 to 150 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 = 5616 ÷ 72
Average = 78
Average of odd numbers from 6 to 150 = 78
Average of Odd Numbers Calculator
Here you can calculate the average of odd numbers of a different sequence.