What is the average of odd numbers from 18 to 153? Here we will show you how to calculate the average of odd numbers from 18 to 153.
To find the average of the odd numbers from 18 to 153, we first calculate how many odd numbers there are from 18 to 153. Then, we calculate the sum of odd numbers from 18 to 153. And finally, we divide the sum by the number of odd numbers to get the average.
The range is from 18 to 153, and the odd numbers within that range are from 19 to 153. Therefore, the first odd number in the sequence is 19, and the last odd number in the sequence is 153.
Step 1) Calculate the total number of odd numbers from 18 to 153
Here we calculate the total number of odd numbers from 18 to 153 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 = (153 - 19 + 2) ÷ 2
tot = 136 ÷ 2
tot = 68
Total odd numbers from 18 to 153 = 68
Step 2) Calculate the sum of odd numbers from 18 to 153
To calculate the sum of odd numbers from 18 to 153, 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 = (68 ÷ 2) × (2 × 19 + (2 × (68 - 1))
sum = 34 × (38 + 134)
sum = 34 × 172
sum = 5848
Sum of odd numbers from 18 to 153 = 5848
Step 3) Calculate the average of odd numbers from 18 to 153
Almost done! Now we can calculate the average of odd numbers from 18 to 153 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 = 5848 ÷ 68
Average = 86
Average of odd numbers from 18 to 153 = 86
Average of Odd Numbers Calculator
Here you can calculate the average of odd numbers of a different sequence.