What is the average of odd numbers from 2 to 63? Here we will show you how to calculate the average of odd numbers from 2 to 63.
To find the average of the odd numbers from 2 to 63, we first calculate how many odd numbers there are from 2 to 63. Then, we calculate the sum of odd numbers from 2 to 63. And finally, we divide the sum by the number of odd numbers to get the average.
The range is from 2 to 63, and the odd numbers within that range are from 3 to 63. Therefore, the first odd number in the sequence is 3, and the last odd number in the sequence is 63.
Step 1) Calculate the total number of odd numbers from 2 to 63
Here we calculate the total number of odd numbers from 2 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 - 3 + 2) ÷ 2
tot = 62 ÷ 2
tot = 31
Total odd numbers from 2 to 63 = 31
Step 2) Calculate the sum of odd numbers from 2 to 63
To calculate the sum of odd numbers from 2 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 = (31 ÷ 2) × (2 × 3 + (2 × (31 - 1))
sum = 15.5 × (6 + 60)
sum = 15.5 × 66
sum = 1023
Sum of odd numbers from 2 to 63 = 1023
Step 3) Calculate the average of odd numbers from 2 to 63
Almost done! Now we can calculate the average of odd numbers from 2 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 = 1023 ÷ 31
Average = 33
Average of odd numbers from 2 to 63 = 33
Average of Odd Numbers Calculator
Here you can calculate the average of odd numbers of a different sequence.