What is the average of even numbers from 41 to 75? Here we will show you how to calculate the average of even numbers from 41 to 75.
To find the average of the even numbers from 41 to 75, we first calculate how many even numbers there are from 41 to 75. Then, we calculate the sum of even numbers from 41 to 75. And finally, we divide the sum by the number of even numbers to get the average.
The range is from 41 to 75, and the even numbers within that range are from 42 to 74. Therefore, the first even number in the sequence is 42, and the last even number in the sequence is 74.
Step 1) Calculate the total number of even numbers from 41 to 75
Here we calculate the total number of even numbers from 41 to 75 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 = (74 - 42 + 2) ÷ 2
tot = 34 ÷ 2
tot = 17
Total even numbers from 41 to 75 = 17
Step 2) Calculate the sum of even numbers from 41 to 75
To calculate the sum of even numbers from 41 to 75, 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 = (17 ÷ 2) × (2 × 42 + (2 × (17 - 1))
sum = 8.5 × (84 + 32)
sum = 8.5 × 116
sum = 986
Sum of even numbers from 41 to 75 = 986
Step 3) Calculate the average of even numbers from 41 to 75
Almost done! Now we can calculate the average of even numbers from 41 to 75 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 = 986 ÷ 17
Average = 58
Average of even numbers from 41 to 75 = 58
Average of Even Numbers Calculator
Here you can calculate the average of even numbers of a different sequence.