What is the average of odd numbers from 2 to 37? Here we will show you how to calculate the average of odd numbers from 2 to 37.
To find the average of the odd numbers from 2 to 37, we first calculate how many odd numbers there are from 2 to 37. Then, we calculate the sum of odd numbers from 2 to 37. And finally, we divide the sum by the number of odd numbers to get the average.
The range is from 2 to 37, and the odd numbers within that range are from 3 to 37. Therefore, the first odd number in the sequence is 3, and the last odd number in the sequence is 37.
Step 1) Calculate the total number of odd numbers from 2 to 37
Here we calculate the total number of odd numbers from 2 to 37 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 = (37 - 3 + 2) ÷ 2
tot = 36 ÷ 2
tot = 18
Total odd numbers from 2 to 37 = 18
Step 2) Calculate the sum of odd numbers from 2 to 37
To calculate the sum of odd numbers from 2 to 37, 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 = (18 ÷ 2) × (2 × 3 + (2 × (18 - 1))
sum = 9 × (6 + 34)
sum = 9 × 40
sum = 360
Sum of odd numbers from 2 to 37 = 360
Step 3) Calculate the average of odd numbers from 2 to 37
Almost done! Now we can calculate the average of odd numbers from 2 to 37 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 = 360 ÷ 18
Average = 20
Average of odd numbers from 2 to 37 = 20
Average of Odd Numbers Calculator
Here you can calculate the average of odd numbers of a different sequence.