What is the average of odd numbers from 2 to 168? Here we will show you how to calculate the average of odd numbers from 2 to 168.
To find the average of the odd numbers from 2 to 168, we first calculate how many odd numbers there are from 2 to 168. Then, we calculate the sum of odd numbers from 2 to 168. And finally, we divide the sum by the number of odd numbers to get the average.
The range is from 2 to 168, and the odd numbers within that range are from 3 to 167. Therefore, the first odd number in the sequence is 3, and the last odd number in the sequence is 167.
Step 1) Calculate the total number of odd numbers from 2 to 168
Here we calculate the total number of odd numbers from 2 to 168 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 = (167 - 3 + 2) ÷ 2
tot = 166 ÷ 2
tot = 83
Total odd numbers from 2 to 168 = 83
Step 2) Calculate the sum of odd numbers from 2 to 168
To calculate the sum of odd numbers from 2 to 168, 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 = (83 ÷ 2) × (2 × 3 + (2 × (83 - 1))
sum = 41.5 × (6 + 164)
sum = 41.5 × 170
sum = 7055
Sum of odd numbers from 2 to 168 = 7055
Step 3) Calculate the average of odd numbers from 2 to 168
Almost done! Now we can calculate the average of odd numbers from 2 to 168 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 = 7055 ÷ 83
Average = 85
Average of odd numbers from 2 to 168 = 85
Average of Odd Numbers Calculator
Here you can calculate the average of odd numbers of a different sequence.