The average of all even numbers up to 100 is 51.
Let's break down how to arrive at this answer:
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Identifying the Even Numbers: The even numbers up to 100 are 2, 4, 6, 8, ..., 100.
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Arithmetic Progression: This sequence forms an arithmetic progression with a common difference of 2.
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Formula for the Average: The average (or mean) of an arithmetic progression can be found using the formula: (First Term + Last Term) / 2
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Applying the Formula: In this case, the first term is 2 and the last term is 100. Therefore, the average is (2 + 100) / 2 = 102 / 2 = 51.
Therefore, the average of all even numbers up to 100 is indeed 51.
