What is the average of odd numbers from 1 to 368? Here we will show you how to calculate the average of odd numbers from 1 to 368.
To find the average of the odd numbers from 1 to 368, we first calculate how many odd numbers there are from 1 to 368. Then, we calculate the sum of odd numbers from 1 to 368. And finally, we divide the sum by the number of odd numbers to get the average.
The range is from 1 to 368, and the odd numbers within that range are from 1 to 367. Therefore, the first odd number in the sequence is 1, and the last odd number in the sequence is 367.
Step 1) Calculate the total number of odd numbers from 1 to 368
Here we calculate the total number of odd numbers from 1 to 368 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 = (367 - 1 + 2) ÷ 2
tot = 368 ÷ 2
tot = 184
Total odd numbers from 1 to 368 = 184
Step 2) Calculate the sum of odd numbers from 1 to 368
To calculate the sum of odd numbers from 1 to 368, 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 = (184 ÷ 2) × (2 × 1 + (2 × (184 - 1))
sum = 92 × (2 + 366)
sum = 92 × 368
sum = 33856
Sum of odd numbers from 1 to 368 = 33856
Step 3) Calculate the average of odd numbers from 1 to 368
Almost done! Now we can calculate the average of odd numbers from 1 to 368 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 = 33856 ÷ 184
Average = 184
Average of odd numbers from 1 to 368 = 184
Average of Odd Numbers Calculator
Here you can calculate the average of odd numbers of a different sequence.