What is the average of even numbers from 16 to 18? Here we will show you how to calculate the average of even numbers from 16 to 18.
To find the average of the even numbers from 16 to 18, we first calculate how many even numbers there are from 16 to 18. Then, we calculate the sum of even numbers from 16 to 18. And finally, we divide the sum by the number of even numbers to get the average.
The range is from 16 to 18, and the even numbers within that range are from 16 to 18. Therefore, the first even number in the sequence is 16, and the last even number in the sequence is 18.
Step 1) Calculate the total number of even numbers from 16 to 18
Here we calculate the total number of even numbers from 16 to 18 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 = (18 - 16 + 2) ÷ 2
tot = 4 ÷ 2
tot = 2
Total even numbers from 16 to 18 = 2
Step 2) Calculate the sum of even numbers from 16 to 18
To calculate the sum of even numbers from 16 to 18, 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 × 16 + (2 × (2 - 1))
sum = 1 × (32 + 2)
sum = 1 × 34
sum = 34
Sum of even numbers from 16 to 18 = 34
Step 3) Calculate the average of even numbers from 16 to 18
Almost done! Now we can calculate the average of even numbers from 16 to 18 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 = 34 ÷ 2
Average = 17
Average of even numbers from 16 to 18 = 17
Average of Even Numbers Calculator
Here you can calculate the average of even numbers of a different sequence.