What is the average of the first 118 natural numbers?

The average of the first 118 natural numbers

Here we will define and show you the formula and the math to calculate the average of the first 118 natural numbers.

The first 118 natural numbers are the whole numbers (integers) that start with 1 and end with 118. To make a list of the first 118 natural numbers, you simply count up to 118.

To get the average of those 118 numbers, you add them up and then divide the sum by 118. 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 = 118 in our formula, we get the average of the first 118 natural numbers. Here is the math and the answer:

avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((118 × (118 + 1)) ÷ 2) ÷ 118
avg = ((118 × 119) ÷ 2) ÷ 118
avg = (14042 ÷ 2) ÷ 118
avg = 7021 ÷ 118
average = 59.5

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