What is the average of even numbers from 59 to 71? Here we will show you how to calculate the average of even numbers from 59 to 71.
To find the average of the even numbers from 59 to 71, we first calculate how many even numbers there are from 59 to 71. Then, we calculate the sum of even numbers from 59 to 71. And finally, we divide the sum by the number of even numbers to get the average.
The range is from 59 to 71, and the even numbers within that range are from 60 to 70. Therefore, the first even number in the sequence is 60, and the last even number in the sequence is 70.
Step 1) Calculate the total number of even numbers from 59 to 71
Here we calculate the total number of even numbers from 59 to 71 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 - 60 + 2) ÷ 2
tot = 12 ÷ 2
tot = 6
Total even numbers from 59 to 71 = 6
Step 2) Calculate the sum of even numbers from 59 to 71
To calculate the sum of even numbers from 59 to 71, 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 = (6 ÷ 2) × (2 × 60 + (2 × (6 - 1))
sum = 3 × (120 + 10)
sum = 3 × 130
sum = 390
Sum of even numbers from 59 to 71 = 390
Step 3) Calculate the average of even numbers from 59 to 71
Almost done! Now we can calculate the average of even numbers from 59 to 71 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 = 390 ÷ 6
Average = 65
Average of even numbers from 59 to 71 = 65
Average of Even Numbers Calculator
Here you can calculate the average of even numbers of a different sequence.