What is the average of odd numbers from 7 to 87? Here we will show you how to calculate the average of odd numbers from 7 to 87.
To find the average of the odd numbers from 7 to 87, we first calculate how many odd numbers there are from 7 to 87. Then, we calculate the sum of odd numbers from 7 to 87. And finally, we divide the sum by the number of odd numbers to get the average.
The range is from 7 to 87, and the odd numbers within that range are from 7 to 87. Therefore, the first odd number in the sequence is 7, and the last odd number in the sequence is 87.
Step 1) Calculate the total number of odd numbers from 7 to 87
Here we calculate the total number of odd numbers from 7 to 87 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 = (87 - 7 + 2) ÷ 2
tot = 82 ÷ 2
tot = 41
Total odd numbers from 7 to 87 = 41
Step 2) Calculate the sum of odd numbers from 7 to 87
To calculate the sum of odd numbers from 7 to 87, 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 = (41 ÷ 2) × (2 × 7 + (2 × (41 - 1))
sum = 20.5 × (14 + 80)
sum = 20.5 × 94
sum = 1927
Sum of odd numbers from 7 to 87 = 1927
Step 3) Calculate the average of odd numbers from 7 to 87
Almost done! Now we can calculate the average of odd numbers from 7 to 87 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 = 1927 ÷ 41
Average = 47
Average of odd numbers from 7 to 87 = 47
Average of Odd Numbers Calculator
Here you can calculate the average of odd numbers of a different sequence.