What is the average of odd numbers from 2 to 88? Here we will show you how to calculate the average of odd numbers from 2 to 88.
To find the average of the odd numbers from 2 to 88, we first calculate how many odd numbers there are from 2 to 88. Then, we calculate the sum of odd numbers from 2 to 88. And finally, we divide the sum by the number of odd numbers to get the average.
The range is from 2 to 88, and the odd numbers within that range are from 3 to 87. Therefore, the first odd number in the sequence is 3, and the last odd number in the sequence is 87.
Step 1) Calculate the total number of odd numbers from 2 to 88
Here we calculate the total number of odd numbers from 2 to 88 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 - 3 + 2) ÷ 2
tot = 86 ÷ 2
tot = 43
Total odd numbers from 2 to 88 = 43
Step 2) Calculate the sum of odd numbers from 2 to 88
To calculate the sum of odd numbers from 2 to 88, 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 = (43 ÷ 2) × (2 × 3 + (2 × (43 - 1))
sum = 21.5 × (6 + 84)
sum = 21.5 × 90
sum = 1935
Sum of odd numbers from 2 to 88 = 1935
Step 3) Calculate the average of odd numbers from 2 to 88
Almost done! Now we can calculate the average of odd numbers from 2 to 88 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 = 1935 ÷ 43
Average = 45
Average of odd numbers from 2 to 88 = 45
Average of Odd Numbers Calculator
Here you can calculate the average of odd numbers of a different sequence.