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What is the defininition for mean?

The mean is a measure of central tendency that represents the average value of a set of numbers. It is calculated by summing all the values in the set and then dividing by the number of values.

Here's a more formal definition:

Mean: The sum of all values in a dataset divided by the number of values in the dataset.

Formula:

```

Mean = (Sum of all values) / (Number of values)

```

Example:

Let's say you have the following set of numbers: 2, 5, 8, 10, 12

1. Sum of all values: 2 + 5 + 8 + 10 + 12 = 37

2. Number of values: 5

3. Mean: 37 / 5 = 7.4

Therefore, the mean of the set {2, 5, 8, 10, 12} is 7.4.

Types of Mean:

* Arithmetic Mean: The most common type of mean, calculated as described above.

* Geometric Mean: Used for data that grows exponentially.

* Harmonic Mean: Used for data that represents rates or ratios.

The mean is a useful statistic for understanding the overall trend or typical value of a dataset. However, it's important to remember that the mean can be influenced by outliers (extreme values) and may not always be the best representation of the data.

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