What is the average of first five multiples of 12

what is the average of first five multiples of 12

What is the average of the first five multiples of 12?

Answer: To calculate the average of the first five multiples of 12, follow these steps:

  1. Identify the first five multiples of 12:
    The first five multiples of 12 are:

    • 12 \times 1 = 12
    • 12 \times 2 = 24
    • 12 \times 3 = 36
    • 12 \times 4 = 48
    • 12 \times 5 = 60
  2. Sum these multiples:
    $$12 + 24 + 36 + 48 + 60$$
    To get this sum, add the numbers step-by-step:

    • 12 + 24 = 36
    • 36 + 36 = 72
    • 72 + 48 = 120
    • 120 + 60 = 180

    Therefore, the sum of the first five multiples of 12 is 180.

  3. Calculate the average:
    The average of a set of numbers is given by the sum of the numbers divided by the count of the numbers. Here, we have five numbers.

    \text{Average} = \frac{\text{Sum of the multiples}}{\text{Count of the multiples}}
    \text{Average} = \frac{180}{5}
    \text{Average} = 36

Therefore, the average of the first five multiples of 12 is \boxed{36}.

This method involves simple arithmetic operations that are easy to follow, ensuring that even students who are just starting their math journey can understand the process.

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