What is the average of odd numbers from 43 to 80? Here we will show you how to calculate the average of odd numbers from 43 to 80.
To find the average of the odd numbers from 43 to 80, we first calculate how many odd numbers there are from 43 to 80. Then, we calculate the sum of odd numbers from 43 to 80. And finally, we divide the sum by the number of odd numbers to get the average.
The range is from 43 to 80, and the odd numbers within that range are from 43 to 79. Therefore, the first odd number in the sequence is 43, and the last odd number in the sequence is 79.
Step 1) Calculate the total number of odd numbers from 43 to 80
Here we calculate the total number of odd numbers from 43 to 80 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 = (79 - 43 + 2) ÷ 2
tot = 38 ÷ 2
tot = 19
Total odd numbers from 43 to 80 = 19
Step 2) Calculate the sum of odd numbers from 43 to 80
To calculate the sum of odd numbers from 43 to 80, 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 = (19 ÷ 2) × (2 × 43 + (2 × (19 - 1))
sum = 9.5 × (86 + 36)
sum = 9.5 × 122
sum = 1159
Sum of odd numbers from 43 to 80 = 1159
Step 3) Calculate the average of odd numbers from 43 to 80
Almost done! Now we can calculate the average of odd numbers from 43 to 80 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 = 1159 ÷ 19
Average = 61
Average of odd numbers from 43 to 80 = 61
Average of Odd Numbers Calculator
Here you can calculate the average of odd numbers of a different sequence.