What is the average of odd numbers from 4 to 92? Here we will show you how to calculate the average of odd numbers from 4 to 92.
To find the average of the odd numbers from 4 to 92, we first calculate how many odd numbers there are from 4 to 92. Then, we calculate the sum of odd numbers from 4 to 92. And finally, we divide the sum by the number of odd numbers to get the average.
The range is from 4 to 92, and the odd numbers within that range are from 5 to 91. Therefore, the first odd number in the sequence is 5, and the last odd number in the sequence is 91.
Step 1) Calculate the total number of odd numbers from 4 to 92
Here we calculate the total number of odd numbers from 4 to 92 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 = (91 - 5 + 2) ÷ 2
tot = 88 ÷ 2
tot = 44
Total odd numbers from 4 to 92 = 44
Step 2) Calculate the sum of odd numbers from 4 to 92
To calculate the sum of odd numbers from 4 to 92, 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 × 5 + (2 × (44 - 1))
sum = 22 × (10 + 86)
sum = 22 × 96
sum = 2112
Sum of odd numbers from 4 to 92 = 2112
Step 3) Calculate the average of odd numbers from 4 to 92
Almost done! Now we can calculate the average of odd numbers from 4 to 92 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 = 2112 ÷ 44
Average = 48
Average of odd numbers from 4 to 92 = 48
Average of Odd Numbers Calculator
Here you can calculate the average of odd numbers of a different sequence.