What is the average of the first 23 natural numbers?

The average of the first 23 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 23 natural numbers.

The first 23 natural numbers are the whole numbers (integers) that start with 1 and end with 23. To make a list of the first 23 natural numbers, you simply count up to 23.

To get the average of those 23 numbers, you add them up and then divide the sum by 23. 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 = 23 in our formula, we get the average of the first 23 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((23 × (23 + 1)) ÷ 2) ÷ 23
avg = ((23 × 24) ÷ 2) ÷ 23
avg = (552 ÷ 2) ÷ 23
avg = 276 ÷ 23
average = 12

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