What is the average of odd numbers from 4 to 144? Here we will show you how to calculate the average of odd numbers from 4 to 144.
To find the average of the odd numbers from 4 to 144, we first calculate how many odd numbers there are from 4 to 144. Then, we calculate the sum of odd numbers from 4 to 144. And finally, we divide the sum by the number of odd numbers to get the average.
The range is from 4 to 144, and the odd numbers within that range are from 5 to 143. Therefore, the first odd number in the sequence is 5, and the last odd number in the sequence is 143.
Step 1) Calculate the total number of odd numbers from 4 to 144
Here we calculate the total number of odd numbers from 4 to 144 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 = (143 - 5 + 2) ÷ 2
tot = 140 ÷ 2
tot = 70
Total odd numbers from 4 to 144 = 70
Step 2) Calculate the sum of odd numbers from 4 to 144
To calculate the sum of odd numbers from 4 to 144, 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 = (70 ÷ 2) × (2 × 5 + (2 × (70 - 1))
sum = 35 × (10 + 138)
sum = 35 × 148
sum = 5180
Sum of odd numbers from 4 to 144 = 5180
Step 3) Calculate the average of odd numbers from 4 to 144
Almost done! Now we can calculate the average of odd numbers from 4 to 144 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 = 5180 ÷ 70
Average = 74
Average of odd numbers from 4 to 144 = 74
Average of Odd Numbers Calculator
Here you can calculate the average of odd numbers of a different sequence.