What is the average of the first 327 natural numbers?

The average of the first 327 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 327 natural numbers.

The first 327 natural numbers are the whole numbers (integers) that start with 1 and end with 327. To make a list of the first 327 natural numbers, you simply count up to 327.

To get the average of those 327 numbers, you add them up and then divide the sum by 327. We created a formula that can calculate the average of any sequence of natural numbers starting with 1. Here is the formula to calculate the average (avg) of the first n natural numbers:

avg = ((n × (n + 1)) ÷ 2) ÷ n

When we enter n = 327 in our formula, we get the average of the first 327 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((327 × (327 + 1)) ÷ 2) ÷ 327
avg = ((327 × 328) ÷ 2) ÷ 327
avg = (107256 ÷ 2) ÷ 327
avg = 53628 ÷ 327
average = 164

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