What is the average of odd numbers from 100 to 136? Here we will show you how to calculate the average of odd numbers from 100 to 136.
To find the average of the odd numbers from 100 to 136, we first calculate how many odd numbers there are from 100 to 136. Then, we calculate the sum of odd numbers from 100 to 136. And finally, we divide the sum by the number of odd numbers to get the average.
The range is from 100 to 136, and the odd numbers within that range are from 101 to 135. Therefore, the first odd number in the sequence is 101, and the last odd number in the sequence is 135.
Step 1) Calculate the total number of odd numbers from 100 to 136
Here we calculate the total number of odd numbers from 100 to 136 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 = (135 - 101 + 2) ÷ 2
tot = 36 ÷ 2
tot = 18
Total odd numbers from 100 to 136 = 18
Step 2) Calculate the sum of odd numbers from 100 to 136
To calculate the sum of odd numbers from 100 to 136, 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 = (18 ÷ 2) × (2 × 101 + (2 × (18 - 1))
sum = 9 × (202 + 34)
sum = 9 × 236
sum = 2124
Sum of odd numbers from 100 to 136 = 2124
Step 3) Calculate the average of odd numbers from 100 to 136
Almost done! Now we can calculate the average of odd numbers from 100 to 136 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 = 2124 ÷ 18
Average = 118
Average of odd numbers from 100 to 136 = 118
Average of Odd Numbers Calculator
Here you can calculate the average of odd numbers of a different sequence.