What is the average of odd numbers from 54 to 63? Here we will show you how to calculate the average of odd numbers from 54 to 63.
To find the average of the odd numbers from 54 to 63, we first calculate how many odd numbers there are from 54 to 63. Then, we calculate the sum of odd numbers from 54 to 63. And finally, we divide the sum by the number of odd numbers to get the average.
The range is from 54 to 63, and the odd numbers within that range are from 55 to 63. Therefore, the first odd number in the sequence is 55, and the last odd number in the sequence is 63.
Step 1) Calculate the total number of odd numbers from 54 to 63
Here we calculate the total number of odd numbers from 54 to 63 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 = (63 - 55 + 2) ÷ 2
tot = 10 ÷ 2
tot = 5
Total odd numbers from 54 to 63 = 5
Step 2) Calculate the sum of odd numbers from 54 to 63
To calculate the sum of odd numbers from 54 to 63, 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 = (5 ÷ 2) × (2 × 55 + (2 × (5 - 1))
sum = 2.5 × (110 + 8)
sum = 2.5 × 118
sum = 295
Sum of odd numbers from 54 to 63 = 295
Step 3) Calculate the average of odd numbers from 54 to 63
Almost done! Now we can calculate the average of odd numbers from 54 to 63 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 = 295 ÷ 5
Average = 59
Average of odd numbers from 54 to 63 = 59
Average of Odd Numbers Calculator
Here you can calculate the average of odd numbers of a different sequence.