What is the average of even numbers from 4 to 70? Here we will show you how to calculate the average of even numbers from 4 to 70.
To find the average of the even numbers from 4 to 70, we first calculate how many even numbers there are from 4 to 70. Then, we calculate the sum of even numbers from 4 to 70. And finally, we divide the sum by the number of even numbers to get the average.
The range is from 4 to 70, and the even numbers within that range are from 4 to 70. Therefore, the first even number in the sequence is 4, and the last even number in the sequence is 70.
Step 1) Calculate the total number of even numbers from 4 to 70
Here we calculate the total number of even numbers from 4 to 70 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 = (70 - 4 + 2) ÷ 2
tot = 68 ÷ 2
tot = 34
Total even numbers from 4 to 70 = 34
Step 2) Calculate the sum of even numbers from 4 to 70
To calculate the sum of even numbers from 4 to 70, 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 = (34 ÷ 2) × (2 × 4 + (2 × (34 - 1))
sum = 17 × (8 + 66)
sum = 17 × 74
sum = 1258
Sum of even numbers from 4 to 70 = 1258
Step 3) Calculate the average of even numbers from 4 to 70
Almost done! Now we can calculate the average of even numbers from 4 to 70 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 = 1258 ÷ 34
Average = 37
Average of even numbers from 4 to 70 = 37
Average of Even Numbers Calculator
Here you can calculate the average of even numbers of a different sequence.