What is the average of odd numbers from 51 to 137? Here we will show you how to calculate the average of odd numbers from 51 to 137.
To find the average of the odd numbers from 51 to 137, we first calculate how many odd numbers there are from 51 to 137. Then, we calculate the sum of odd numbers from 51 to 137. And finally, we divide the sum by the number of odd numbers to get the average.
The range is from 51 to 137, and the odd numbers within that range are from 51 to 137. Therefore, the first odd number in the sequence is 51, and the last odd number in the sequence is 137.
Step 1) Calculate the total number of odd numbers from 51 to 137
Here we calculate the total number of odd numbers from 51 to 137 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 = (137 - 51 + 2) ÷ 2
tot = 88 ÷ 2
tot = 44
Total odd numbers from 51 to 137 = 44
Step 2) Calculate the sum of odd numbers from 51 to 137
To calculate the sum of odd numbers from 51 to 137, 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 = (44 ÷ 2) × (2 × 51 + (2 × (44 - 1))
sum = 22 × (102 + 86)
sum = 22 × 188
sum = 4136
Sum of odd numbers from 51 to 137 = 4136
Step 3) Calculate the average of odd numbers from 51 to 137
Almost done! Now we can calculate the average of odd numbers from 51 to 137 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 = 4136 ÷ 44
Average = 94
Average of odd numbers from 51 to 137 = 94
Average of Odd Numbers Calculator
Here you can calculate the average of odd numbers of a different sequence.