What is the average of odd numbers from 54 to 66? Here we will show you how to calculate the average of odd numbers from 54 to 66.
To find the average of the odd numbers from 54 to 66, we first calculate how many odd numbers there are from 54 to 66. Then, we calculate the sum of odd numbers from 54 to 66. And finally, we divide the sum by the number of odd numbers to get the average.
The range is from 54 to 66, and the odd numbers within that range are from 55 to 65. Therefore, the first odd number in the sequence is 55, and the last odd number in the sequence is 65.
Step 1) Calculate the total number of odd numbers from 54 to 66
Here we calculate the total number of odd numbers from 54 to 66 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 = (65 - 55 + 2) ÷ 2
tot = 12 ÷ 2
tot = 6
Total odd numbers from 54 to 66 = 6
Step 2) Calculate the sum of odd numbers from 54 to 66
To calculate the sum of odd numbers from 54 to 66, 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 = (6 ÷ 2) × (2 × 55 + (2 × (6 - 1))
sum = 3 × (110 + 10)
sum = 3 × 120
sum = 360
Sum of odd numbers from 54 to 66 = 360
Step 3) Calculate the average of odd numbers from 54 to 66
Almost done! Now we can calculate the average of odd numbers from 54 to 66 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 = 360 ÷ 6
Average = 60
Average of odd numbers from 54 to 66 = 60
Average of Odd Numbers Calculator
Here you can calculate the average of odd numbers of a different sequence.