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:
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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
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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.
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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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