What is the average of even numbers from 11 to 64? Here we will show you how to calculate the average of even numbers from 11 to 64.
To find the average of the even numbers from 11 to 64, we first calculate how many even numbers there are from 11 to 64. Then, we calculate the sum of even numbers from 11 to 64. And finally, we divide the sum by the number of even numbers to get the average.
The range is from 11 to 64, and the even numbers within that range are from 12 to 64. Therefore, the first even number in the sequence is 12, and the last even number in the sequence is 64.
Step 1) Calculate the total number of even numbers from 11 to 64
Here we calculate the total number of even numbers from 11 to 64 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 = (64 - 12 + 2) ÷ 2
tot = 54 ÷ 2
tot = 27
Total even numbers from 11 to 64 = 27
Step 2) Calculate the sum of even numbers from 11 to 64
To calculate the sum of even numbers from 11 to 64, 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 = (27 ÷ 2) × (2 × 12 + (2 × (27 - 1))
sum = 13.5 × (24 + 52)
sum = 13.5 × 76
sum = 1026
Sum of even numbers from 11 to 64 = 1026
Step 3) Calculate the average of even numbers from 11 to 64
Almost done! Now we can calculate the average of even numbers from 11 to 64 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 = 1026 ÷ 27
Average = 38
Average of even numbers from 11 to 64 = 38
Average of Even Numbers Calculator
Here you can calculate the average of even numbers of a different sequence.