The average of the first 53 natural numbers
Here we will define and show you the formula and the math to calculate the average of the first 53 natural numbers.
The first 53 natural numbers are the whole numbers (integers) that start with 1 and end with 53. To make a list of the first 53 natural numbers, you simply count up to 53.
To get the average of those 53 numbers, you add them up and then divide the sum by 53. 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 = 53 in our formula, we get the average of the first 53 natural numbers. Here is the math and the answer:
avg = ((n × (n + 1)) ÷ 2) ÷ n
avg = ((53 × (53 + 1)) ÷ 2) ÷ 53
avg = ((53 × 54) ÷ 2) ÷ 53
avg = (2862 ÷ 2) ÷ 53
avg = 1431 ÷ 53
average = 27
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