What is the average of odd numbers from 1 to 37? Here we will show you how to calculate the average of odd numbers from 1 to 37.
To find the average of the odd numbers from 1 to 37, we first calculate how many odd numbers there are from 1 to 37. Then, we calculate the sum of odd numbers from 1 to 37. And finally, we divide the sum by the number of odd numbers to get the average.
The range is from 1 to 37, and the odd numbers within that range are from 1 to 37. Therefore, the first odd number in the sequence is 1, and the last odd number in the sequence is 37.
Step 1) Calculate the total number of odd numbers from 1 to 37
Here we calculate the total number of odd numbers from 1 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 - 1 + 2) ÷ 2
tot = 38 ÷ 2
tot = 19
Total odd numbers from 1 to 37 = 19
Step 2) Calculate the sum of odd numbers from 1 to 37
To calculate the sum of odd numbers from 1 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 = (19 ÷ 2) × (2 × 1 + (2 × (19 - 1))
sum = 9.5 × (2 + 36)
sum = 9.5 × 38
sum = 361
Sum of odd numbers from 1 to 37 = 361
Step 3) Calculate the average of odd numbers from 1 to 37
Almost done! Now we can calculate the average of odd numbers from 1 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 = 361 ÷ 19
Average = 19
Average of odd numbers from 1 to 37 = 19
Average of Odd Numbers Calculator
Here you can calculate the average of odd numbers of a different sequence.