What is the average of even numbers from 3 to 6? Here we will show you how to calculate the average of even numbers from 3 to 6.
To find the average of the even numbers from 3 to 6, we first calculate how many even numbers there are from 3 to 6. Then, we calculate the sum of even numbers from 3 to 6. And finally, we divide the sum by the number of even numbers to get the average.
The range is from 3 to 6, and the even numbers within that range are from 4 to 6. Therefore, the first even number in the sequence is 4, and the last even number in the sequence is 6.
Step 1) Calculate the total number of even numbers from 3 to 6
Here we calculate the total number of even numbers from 3 to 6 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 = (6 - 4 + 2) ÷ 2
tot = 4 ÷ 2
tot = 2
Total even numbers from 3 to 6 = 2
Step 2) Calculate the sum of even numbers from 3 to 6
To calculate the sum of even numbers from 3 to 6, 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 = (2 ÷ 2) × (2 × 4 + (2 × (2 - 1))
sum = 1 × (8 + 2)
sum = 1 × 10
sum = 10
Sum of even numbers from 3 to 6 = 10
Step 3) Calculate the average of even numbers from 3 to 6
Almost done! Now we can calculate the average of even numbers from 3 to 6 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 = 10 ÷ 2
Average = 5
Average of even numbers from 3 to 6 = 5
Average of Even Numbers Calculator
Here you can calculate the average of even numbers of a different sequence.