What is the average of the first 173 natural numbers?

The average of the first 173 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 173 natural numbers.

The first 173 natural numbers are the whole numbers (integers) that start with 1 and end with 173. To make a list of the first 173 natural numbers, you simply count up to 173.

To get the average of those 173 numbers, you add them up and then divide the sum by 173. 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 = 173 in our formula, we get the average of the first 173 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((173 × (173 + 1)) ÷ 2) ÷ 173
avg = ((173 × 174) ÷ 2) ÷ 173
avg = (30102 ÷ 2) ÷ 173
avg = 15051 ÷ 173
average = 87

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