What is the average of odd numbers from 1 to 95? Here we will show you how to calculate the average of odd numbers from 1 to 95.
To find the average of the odd numbers from 1 to 95, we first calculate how many odd numbers there are from 1 to 95. Then, we calculate the sum of odd numbers from 1 to 95. And finally, we divide the sum by the number of odd numbers to get the average.
The range is from 1 to 95, and the odd numbers within that range are from 1 to 95. Therefore, the first odd number in the sequence is 1, and the last odd number in the sequence is 95.
Step 1) Calculate the total number of odd numbers from 1 to 95
Here we calculate the total number of odd numbers from 1 to 95 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 = (95 - 1 + 2) ÷ 2
tot = 96 ÷ 2
tot = 48
Total odd numbers from 1 to 95 = 48
Step 2) Calculate the sum of odd numbers from 1 to 95
To calculate the sum of odd numbers from 1 to 95, 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 × 1 + (2 × (48 - 1))
sum = 24 × (2 + 94)
sum = 24 × 96
sum = 2304
Sum of odd numbers from 1 to 95 = 2304
Step 3) Calculate the average of odd numbers from 1 to 95
Almost done! Now we can calculate the average of odd numbers from 1 to 95 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 = 2304 ÷ 48
Average = 48
Average of odd numbers from 1 to 95 = 48
Average of Odd Numbers Calculator
Here you can calculate the average of odd numbers of a different sequence.