What is the average of even numbers from 2 to 12? Here we will show you how to calculate the average of even numbers from 2 to 12.
To find the average of the even numbers from 2 to 12, we first calculate how many even numbers there are from 2 to 12. Then, we calculate the sum of even numbers from 2 to 12. And finally, we divide the sum by the number of even numbers to get the average.
The range is from 2 to 12, and the even numbers within that range are from 2 to 12. Therefore, the first even number in the sequence is 2, and the last even number in the sequence is 12.
Step 1) Calculate the total number of even numbers from 2 to 12
Here we calculate the total number of even numbers from 2 to 12 by entering the first and last even number in the sequence into our formula. Here is the formula and the math:
tot = (last - first + 2) ÷ 2
tot = (12 - 2 + 2) ÷ 2
tot = 12 ÷ 2
tot = 6
Total even numbers from 2 to 12 = 6
Step 2) Calculate the sum of even numbers from 2 to 12
To calculate the sum of even numbers from 2 to 12, you enter the total even numbers (tot) from Step 1 and the first even 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 × 2 + (2 × (6 - 1))
sum = 3 × (4 + 10)
sum = 3 × 14
sum = 42
Sum of even numbers from 2 to 12 = 42
Step 3) Calculate the average of even numbers from 2 to 12
Almost done! Now we can calculate the average of even numbers from 2 to 12 by dividing the sum of even numbers from Step 2 by the total even numbers from Step 1. Here is the formula, the math, and the answer:
Average = sum ÷ tot
Average = 42 ÷ 6
Average = 7
Average of even numbers from 2 to 12 = 7
Average of Even Numbers Calculator
Here you can calculate the average of even numbers of a different sequence.