What is the average of even numbers from 131 to 149? Here we will show you how to calculate the average of even numbers from 131 to 149.
To find the average of the even numbers from 131 to 149, we first calculate how many even numbers there are from 131 to 149. Then, we calculate the sum of even numbers from 131 to 149. And finally, we divide the sum by the number of even numbers to get the average.
The range is from 131 to 149, and the even numbers within that range are from 132 to 148. Therefore, the first even number in the sequence is 132, and the last even number in the sequence is 148.
Step 1) Calculate the total number of even numbers from 131 to 149
Here we calculate the total number of even numbers from 131 to 149 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 = (148 - 132 + 2) ÷ 2
tot = 18 ÷ 2
tot = 9
Total even numbers from 131 to 149 = 9
Step 2) Calculate the sum of even numbers from 131 to 149
To calculate the sum of even numbers from 131 to 149, 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 = (9 ÷ 2) × (2 × 132 + (2 × (9 - 1))
sum = 4.5 × (264 + 16)
sum = 4.5 × 280
sum = 1260
Sum of even numbers from 131 to 149 = 1260
Step 3) Calculate the average of even numbers from 131 to 149
Almost done! Now we can calculate the average of even numbers from 131 to 149 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 = 1260 ÷ 9
Average = 140
Average of even numbers from 131 to 149 = 140
Average of Even Numbers Calculator
Here you can calculate the average of even numbers of a different sequence.