What is the average of even numbers from 37 to 88? Here we will show you how to calculate the average of even numbers from 37 to 88.
To find the average of the even numbers from 37 to 88, we first calculate how many even numbers there are from 37 to 88. Then, we calculate the sum of even numbers from 37 to 88. And finally, we divide the sum by the number of even numbers to get the average.
The range is from 37 to 88, and the even numbers within that range are from 38 to 88. Therefore, the first even number in the sequence is 38, and the last even number in the sequence is 88.
Step 1) Calculate the total number of even numbers from 37 to 88
Here we calculate the total number of even numbers from 37 to 88 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 = (88 - 38 + 2) ÷ 2
tot = 52 ÷ 2
tot = 26
Total even numbers from 37 to 88 = 26
Step 2) Calculate the sum of even numbers from 37 to 88
To calculate the sum of even numbers from 37 to 88, 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 = (26 ÷ 2) × (2 × 38 + (2 × (26 - 1))
sum = 13 × (76 + 50)
sum = 13 × 126
sum = 1638
Sum of even numbers from 37 to 88 = 1638
Step 3) Calculate the average of even numbers from 37 to 88
Almost done! Now we can calculate the average of even numbers from 37 to 88 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 = 1638 ÷ 26
Average = 63
Average of even numbers from 37 to 88 = 63
Average of Even Numbers Calculator
Here you can calculate the average of even numbers of a different sequence.