What is the average of even numbers from 10 to 53? Here we will show you how to calculate the average of even numbers from 10 to 53.
To find the average of the even numbers from 10 to 53, we first calculate how many even numbers there are from 10 to 53. Then, we calculate the sum of even numbers from 10 to 53. And finally, we divide the sum by the number of even numbers to get the average.
The range is from 10 to 53, and the even numbers within that range are from 10 to 52. Therefore, the first even number in the sequence is 10, and the last even number in the sequence is 52.
Step 1) Calculate the total number of even numbers from 10 to 53
Here we calculate the total number of even numbers from 10 to 53 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 = (52 - 10 + 2) ÷ 2
tot = 44 ÷ 2
tot = 22
Total even numbers from 10 to 53 = 22
Step 2) Calculate the sum of even numbers from 10 to 53
To calculate the sum of even numbers from 10 to 53, 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 = (22 ÷ 2) × (2 × 10 + (2 × (22 - 1))
sum = 11 × (20 + 42)
sum = 11 × 62
sum = 682
Sum of even numbers from 10 to 53 = 682
Step 3) Calculate the average of even numbers from 10 to 53
Almost done! Now we can calculate the average of even numbers from 10 to 53 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 = 682 ÷ 22
Average = 31
Average of even numbers from 10 to 53 = 31
Average of Even Numbers Calculator
Here you can calculate the average of even numbers of a different sequence.