What is the average of odd numbers from 74 to 133? Here we will show you how to calculate the average of odd numbers from 74 to 133.
To find the average of the odd numbers from 74 to 133, we first calculate how many odd numbers there are from 74 to 133. Then, we calculate the sum of odd numbers from 74 to 133. And finally, we divide the sum by the number of odd numbers to get the average.
The range is from 74 to 133, and the odd numbers within that range are from 75 to 133. Therefore, the first odd number in the sequence is 75, and the last odd number in the sequence is 133.
Step 1) Calculate the total number of odd numbers from 74 to 133
Here we calculate the total number of odd numbers from 74 to 133 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 = (133 - 75 + 2) ÷ 2
tot = 60 ÷ 2
tot = 30
Total odd numbers from 74 to 133 = 30
Step 2) Calculate the sum of odd numbers from 74 to 133
To calculate the sum of odd numbers from 74 to 133, 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 = (30 ÷ 2) × (2 × 75 + (2 × (30 - 1))
sum = 15 × (150 + 58)
sum = 15 × 208
sum = 3120
Sum of odd numbers from 74 to 133 = 3120
Step 3) Calculate the average of odd numbers from 74 to 133
Almost done! Now we can calculate the average of odd numbers from 74 to 133 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 = 3120 ÷ 30
Average = 104
Average of odd numbers from 74 to 133 = 104
Average of Odd Numbers Calculator
Here you can calculate the average of odd numbers of a different sequence.