What is the average of even numbers from 4 to 150? Here we will show you how to calculate the average of even numbers from 4 to 150.
To find the average of the even numbers from 4 to 150, we first calculate how many even numbers there are from 4 to 150. Then, we calculate the sum of even numbers from 4 to 150. And finally, we divide the sum by the number of even numbers to get the average.
The range is from 4 to 150, and the even numbers within that range are from 4 to 150. Therefore, the first even number in the sequence is 4, and the last even number in the sequence is 150.
Step 1) Calculate the total number of even numbers from 4 to 150
Here we calculate the total number of even numbers from 4 to 150 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 = (150 - 4 + 2) ÷ 2
tot = 148 ÷ 2
tot = 74
Total even numbers from 4 to 150 = 74
Step 2) Calculate the sum of even numbers from 4 to 150
To calculate the sum of even numbers from 4 to 150, 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 = (74 ÷ 2) × (2 × 4 + (2 × (74 - 1))
sum = 37 × (8 + 146)
sum = 37 × 154
sum = 5698
Sum of even numbers from 4 to 150 = 5698
Step 3) Calculate the average of even numbers from 4 to 150
Almost done! Now we can calculate the average of even numbers from 4 to 150 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 = 5698 ÷ 74
Average = 77
Average of even numbers from 4 to 150 = 77
Average of Even Numbers Calculator
Here you can calculate the average of even numbers of a different sequence.