What is the average of odd numbers from 54 to 68? Here we will show you how to calculate the average of odd numbers from 54 to 68.
To find the average of the odd numbers from 54 to 68, we first calculate how many odd numbers there are from 54 to 68. Then, we calculate the sum of odd numbers from 54 to 68. And finally, we divide the sum by the number of odd numbers to get the average.
The range is from 54 to 68, and the odd numbers within that range are from 55 to 67. Therefore, the first odd number in the sequence is 55, and the last odd number in the sequence is 67.
Step 1) Calculate the total number of odd numbers from 54 to 68
Here we calculate the total number of odd numbers from 54 to 68 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 = (67 - 55 + 2) ÷ 2
tot = 14 ÷ 2
tot = 7
Total odd numbers from 54 to 68 = 7
Step 2) Calculate the sum of odd numbers from 54 to 68
To calculate the sum of odd numbers from 54 to 68, 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 = (7 ÷ 2) × (2 × 55 + (2 × (7 - 1))
sum = 3.5 × (110 + 12)
sum = 3.5 × 122
sum = 427
Sum of odd numbers from 54 to 68 = 427
Step 3) Calculate the average of odd numbers from 54 to 68
Almost done! Now we can calculate the average of odd numbers from 54 to 68 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 = 427 ÷ 7
Average = 61
Average of odd numbers from 54 to 68 = 61
Average of Odd Numbers Calculator
Here you can calculate the average of odd numbers of a different sequence.