What is the average of even numbers from 31 to 79? Here we will show you how to calculate the average of even numbers from 31 to 79.
To find the average of the even numbers from 31 to 79, we first calculate how many even numbers there are from 31 to 79. Then, we calculate the sum of even numbers from 31 to 79. And finally, we divide the sum by the number of even numbers to get the average.
The range is from 31 to 79, and the even numbers within that range are from 32 to 78. Therefore, the first even number in the sequence is 32, and the last even number in the sequence is 78.
Step 1) Calculate the total number of even numbers from 31 to 79
Here we calculate the total number of even numbers from 31 to 79 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 = (78 - 32 + 2) ÷ 2
tot = 48 ÷ 2
tot = 24
Total even numbers from 31 to 79 = 24
Step 2) Calculate the sum of even numbers from 31 to 79
To calculate the sum of even numbers from 31 to 79, 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 = (24 ÷ 2) × (2 × 32 + (2 × (24 - 1))
sum = 12 × (64 + 46)
sum = 12 × 110
sum = 1320
Sum of even numbers from 31 to 79 = 1320
Step 3) Calculate the average of even numbers from 31 to 79
Almost done! Now we can calculate the average of even numbers from 31 to 79 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 = 1320 ÷ 24
Average = 55
Average of even numbers from 31 to 79 = 55
Average of Even Numbers Calculator
Here you can calculate the average of even numbers of a different sequence.