What is the average of odd numbers from 1 to 398? Here we will show you how to calculate the average of odd numbers from 1 to 398.
To find the average of the odd numbers from 1 to 398, we first calculate how many odd numbers there are from 1 to 398. Then, we calculate the sum of odd numbers from 1 to 398. And finally, we divide the sum by the number of odd numbers to get the average.
The range is from 1 to 398, and the odd numbers within that range are from 1 to 397. Therefore, the first odd number in the sequence is 1, and the last odd number in the sequence is 397.
Step 1) Calculate the total number of odd numbers from 1 to 398
Here we calculate the total number of odd numbers from 1 to 398 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 = (397 - 1 + 2) ÷ 2
tot = 398 ÷ 2
tot = 199
Total odd numbers from 1 to 398 = 199
Step 2) Calculate the sum of odd numbers from 1 to 398
To calculate the sum of odd numbers from 1 to 398, 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 = (199 ÷ 2) × (2 × 1 + (2 × (199 - 1))
sum = 99.5 × (2 + 396)
sum = 99.5 × 398
sum = 39601
Sum of odd numbers from 1 to 398 = 39601
Step 3) Calculate the average of odd numbers from 1 to 398
Almost done! Now we can calculate the average of odd numbers from 1 to 398 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 = 39601 ÷ 199
Average = 199
Average of odd numbers from 1 to 398 = 199
Average of Odd Numbers Calculator
Here you can calculate the average of odd numbers of a different sequence.