What is the average of even numbers from 4 to 41? Here we will show you how to calculate the average of even numbers from 4 to 41.
To find the average of the even numbers from 4 to 41, we first calculate how many even numbers there are from 4 to 41. Then, we calculate the sum of even numbers from 4 to 41. And finally, we divide the sum by the number of even numbers to get the average.
The range is from 4 to 41, and the even numbers within that range are from 4 to 40. Therefore, the first even number in the sequence is 4, and the last even number in the sequence is 40.
Step 1) Calculate the total number of even numbers from 4 to 41
Here we calculate the total number of even numbers from 4 to 41 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 = (40 - 4 + 2) ÷ 2
tot = 38 ÷ 2
tot = 19
Total even numbers from 4 to 41 = 19
Step 2) Calculate the sum of even numbers from 4 to 41
To calculate the sum of even numbers from 4 to 41, 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 = (19 ÷ 2) × (2 × 4 + (2 × (19 - 1))
sum = 9.5 × (8 + 36)
sum = 9.5 × 44
sum = 418
Sum of even numbers from 4 to 41 = 418
Step 3) Calculate the average of even numbers from 4 to 41
Almost done! Now we can calculate the average of even numbers from 4 to 41 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 = 418 ÷ 19
Average = 22
Average of even numbers from 4 to 41 = 22
Average of Even Numbers Calculator
Here you can calculate the average of even numbers of a different sequence.