What is the average of even numbers from 145 to 155? Here we will show you how to calculate the average of even numbers from 145 to 155.
To find the average of the even numbers from 145 to 155, we first calculate how many even numbers there are from 145 to 155. Then, we calculate the sum of even numbers from 145 to 155. And finally, we divide the sum by the number of even numbers to get the average.
The range is from 145 to 155, and the even numbers within that range are from 146 to 154. Therefore, the first even number in the sequence is 146, and the last even number in the sequence is 154.
Step 1) Calculate the total number of even numbers from 145 to 155
Here we calculate the total number of even numbers from 145 to 155 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 = (154 - 146 + 2) ÷ 2
tot = 10 ÷ 2
tot = 5
Total even numbers from 145 to 155 = 5
Step 2) Calculate the sum of even numbers from 145 to 155
To calculate the sum of even numbers from 145 to 155, 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 = (5 ÷ 2) × (2 × 146 + (2 × (5 - 1))
sum = 2.5 × (292 + 8)
sum = 2.5 × 300
sum = 750
Sum of even numbers from 145 to 155 = 750
Step 3) Calculate the average of even numbers from 145 to 155
Almost done! Now we can calculate the average of even numbers from 145 to 155 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 = 750 ÷ 5
Average = 150
Average of even numbers from 145 to 155 = 150
Average of Even Numbers Calculator
Here you can calculate the average of even numbers of a different sequence.