What is the average of even numbers from 145 to 159? Here we will show you how to calculate the average of even numbers from 145 to 159.
To find the average of the even numbers from 145 to 159, we first calculate how many even numbers there are from 145 to 159. Then, we calculate the sum of even numbers from 145 to 159. And finally, we divide the sum by the number of even numbers to get the average.
The range is from 145 to 159, and the even numbers within that range are from 146 to 158. Therefore, the first even number in the sequence is 146, and the last even number in the sequence is 158.
Step 1) Calculate the total number of even numbers from 145 to 159
Here we calculate the total number of even numbers from 145 to 159 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 = (158 - 146 + 2) ÷ 2
tot = 14 ÷ 2
tot = 7
Total even numbers from 145 to 159 = 7
Step 2) Calculate the sum of even numbers from 145 to 159
To calculate the sum of even numbers from 145 to 159, 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 = (7 ÷ 2) × (2 × 146 + (2 × (7 - 1))
sum = 3.5 × (292 + 12)
sum = 3.5 × 304
sum = 1064
Sum of even numbers from 145 to 159 = 1064
Step 3) Calculate the average of even numbers from 145 to 159
Almost done! Now we can calculate the average of even numbers from 145 to 159 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 = 1064 ÷ 7
Average = 152
Average of even numbers from 145 to 159 = 152
Average of Even Numbers Calculator
Here you can calculate the average of even numbers of a different sequence.