What is the average of odd numbers from 4 to 105? Here we will show you how to calculate the average of odd numbers from 4 to 105.
To find the average of the odd numbers from 4 to 105, we first calculate how many odd numbers there are from 4 to 105. Then, we calculate the sum of odd numbers from 4 to 105. And finally, we divide the sum by the number of odd numbers to get the average.
The range is from 4 to 105, and the odd numbers within that range are from 5 to 105. Therefore, the first odd number in the sequence is 5, and the last odd number in the sequence is 105.
Step 1) Calculate the total number of odd numbers from 4 to 105
Here we calculate the total number of odd numbers from 4 to 105 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 = (105 - 5 + 2) ÷ 2
tot = 102 ÷ 2
tot = 51
Total odd numbers from 4 to 105 = 51
Step 2) Calculate the sum of odd numbers from 4 to 105
To calculate the sum of odd numbers from 4 to 105, 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 = (51 ÷ 2) × (2 × 5 + (2 × (51 - 1))
sum = 25.5 × (10 + 100)
sum = 25.5 × 110
sum = 2805
Sum of odd numbers from 4 to 105 = 2805
Step 3) Calculate the average of odd numbers from 4 to 105
Almost done! Now we can calculate the average of odd numbers from 4 to 105 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 = 2805 ÷ 51
Average = 55
Average of odd numbers from 4 to 105 = 55
Average of Odd Numbers Calculator
Here you can calculate the average of odd numbers of a different sequence.