What is the average of the first 365 natural numbers?

The average of the first 365 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 365 natural numbers.

The first 365 natural numbers are the whole numbers (integers) that start with 1 and end with 365. To make a list of the first 365 natural numbers, you simply count up to 365.

To get the average of those 365 numbers, you add them up and then divide the sum by 365. 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 = 365 in our formula, we get the average of the first 365 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((365 × (365 + 1)) ÷ 2) ÷ 365
avg = ((365 × 366) ÷ 2) ÷ 365
avg = (133590 ÷ 2) ÷ 365
avg = 66795 ÷ 365
average = 183

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