What is the average of even numbers from 3 to 19? Here we will show you how to calculate the average of even numbers from 3 to 19.
To find the average of the even numbers from 3 to 19, we first calculate how many even numbers there are from 3 to 19. Then, we calculate the sum of even numbers from 3 to 19. And finally, we divide the sum by the number of even numbers to get the average.
The range is from 3 to 19, and the even numbers within that range are from 4 to 18. Therefore, the first even number in the sequence is 4, and the last even number in the sequence is 18.
Step 1) Calculate the total number of even numbers from 3 to 19
Here we calculate the total number of even numbers from 3 to 19 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 - 4 + 2) ÷ 2
tot = 16 ÷ 2
tot = 8
Total even numbers from 3 to 19 = 8
Step 2) Calculate the sum of even numbers from 3 to 19
To calculate the sum of even numbers from 3 to 19, 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 = (8 ÷ 2) × (2 × 4 + (2 × (8 - 1))
sum = 4 × (8 + 14)
sum = 4 × 22
sum = 88
Sum of even numbers from 3 to 19 = 88
Step 3) Calculate the average of even numbers from 3 to 19
Almost done! Now we can calculate the average of even numbers from 3 to 19 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 = 88 ÷ 8
Average = 11
Average of even numbers from 3 to 19 = 11
Average of Even Numbers Calculator
Here you can calculate the average of even numbers of a different sequence.