What is the average of odd numbers from 1 to 42? Here we will show you how to calculate the average of odd numbers from 1 to 42.
To find the average of the odd numbers from 1 to 42, we first calculate how many odd numbers there are from 1 to 42. Then, we calculate the sum of odd numbers from 1 to 42. And finally, we divide the sum by the number of odd numbers to get the average.
The range is from 1 to 42, and the odd numbers within that range are from 1 to 41. Therefore, the first odd number in the sequence is 1, and the last odd number in the sequence is 41.
Step 1) Calculate the total number of odd numbers from 1 to 42
Here we calculate the total number of odd numbers from 1 to 42 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 = (41 - 1 + 2) ÷ 2
tot = 42 ÷ 2
tot = 21
Total odd numbers from 1 to 42 = 21
Step 2) Calculate the sum of odd numbers from 1 to 42
To calculate the sum of odd numbers from 1 to 42, 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 = (21 ÷ 2) × (2 × 1 + (2 × (21 - 1))
sum = 10.5 × (2 + 40)
sum = 10.5 × 42
sum = 441
Sum of odd numbers from 1 to 42 = 441
Step 3) Calculate the average of odd numbers from 1 to 42
Almost done! Now we can calculate the average of odd numbers from 1 to 42 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 = 441 ÷ 21
Average = 21
Average of odd numbers from 1 to 42 = 21
Average of Odd Numbers Calculator
Here you can calculate the average of odd numbers of a different sequence.