What is the average of the first 322 natural numbers?

The average of the first 322 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 322 natural numbers.

The first 322 natural numbers are the whole numbers (integers) that start with 1 and end with 322. To make a list of the first 322 natural numbers, you simply count up to 322.

To get the average of those 322 numbers, you add them up and then divide the sum by 322. 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 = 322 in our formula, we get the average of the first 322 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((322 × (322 + 1)) ÷ 2) ÷ 322
avg = ((322 × 323) ÷ 2) ÷ 322
avg = (104006 ÷ 2) ÷ 322
avg = 52003 ÷ 322
average = 161.5

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What is the average of the first 323 natural numbers?
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