What is the average of odd numbers from 4 to 99? Here we will show you how to calculate the average of odd numbers from 4 to 99.
To find the average of the odd numbers from 4 to 99, we first calculate how many odd numbers there are from 4 to 99. Then, we calculate the sum of odd numbers from 4 to 99. And finally, we divide the sum by the number of odd numbers to get the average.
The range is from 4 to 99, and the odd numbers within that range are from 5 to 99. Therefore, the first odd number in the sequence is 5, and the last odd number in the sequence is 99.
Step 1) Calculate the total number of odd numbers from 4 to 99
Here we calculate the total number of odd numbers from 4 to 99 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 = (99 - 5 + 2) ÷ 2
tot = 96 ÷ 2
tot = 48
Total odd numbers from 4 to 99 = 48
Step 2) Calculate the sum of odd numbers from 4 to 99
To calculate the sum of odd numbers from 4 to 99, 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 = (48 ÷ 2) × (2 × 5 + (2 × (48 - 1))
sum = 24 × (10 + 94)
sum = 24 × 104
sum = 2496
Sum of odd numbers from 4 to 99 = 2496
Step 3) Calculate the average of odd numbers from 4 to 99
Almost done! Now we can calculate the average of odd numbers from 4 to 99 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 = 2496 ÷ 48
Average = 52
Average of odd numbers from 4 to 99 = 52
Average of Odd Numbers Calculator
Here you can calculate the average of odd numbers of a different sequence.