What is the average of even numbers from 37 to 67? Here we will show you how to calculate the average of even numbers from 37 to 67.
To find the average of the even numbers from 37 to 67, we first calculate how many even numbers there are from 37 to 67. Then, we calculate the sum of even numbers from 37 to 67. And finally, we divide the sum by the number of even numbers to get the average.
The range is from 37 to 67, and the even numbers within that range are from 38 to 66. Therefore, the first even number in the sequence is 38, and the last even number in the sequence is 66.
Step 1) Calculate the total number of even numbers from 37 to 67
Here we calculate the total number of even numbers from 37 to 67 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 = (66 - 38 + 2) ÷ 2
tot = 30 ÷ 2
tot = 15
Total even numbers from 37 to 67 = 15
Step 2) Calculate the sum of even numbers from 37 to 67
To calculate the sum of even numbers from 37 to 67, 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 = (15 ÷ 2) × (2 × 38 + (2 × (15 - 1))
sum = 7.5 × (76 + 28)
sum = 7.5 × 104
sum = 780
Sum of even numbers from 37 to 67 = 780
Step 3) Calculate the average of even numbers from 37 to 67
Almost done! Now we can calculate the average of even numbers from 37 to 67 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 = 780 ÷ 15
Average = 52
Average of even numbers from 37 to 67 = 52
Average of Even Numbers Calculator
Here you can calculate the average of even numbers of a different sequence.