## Quick Math Mean

##### Enter expression in this form

Example (dataset): $5,7,8,9,10$

Enter dataset separated by a comma

### Mean in Statistics

The mean is a measure of central tendency, often referred to as the “average” of a set of values. It is calculated by summing all the values in a dataset and then dividing by the number of values. The mean provides a single value that summarizes the general magnitude of the data.

#### Formula

For a dataset with values \( x_1, x_2, x_3, \ldots, x_n \), the mean \( \bar{x} \) is given by:

\[ \bar{x} = \frac{x_1 + x_2 + x_3 + \ldots + x_n}{n} \]

where:

– \( x_1, x_2, x_3, \ldots, x_n \) are the individual data points.

– \( n \) is the total number of data points.

#### Example

Let’s consider the following dataset representing the scores of students in a math test:

\[ 75, 80, 85, 90, 95 \]

To find the mean score:

1. Sum the values:

\[ 75 + 80 + 85 + 90 + 95 = 425 \]

2. Count the number of values:

There are 5 values in the dataset.

3. Calculate the mean:

\[ \bar{x} = \frac{425}{5} = 85 \]

So, the mean score of the students in the math test is 85.

This example illustrates how to calculate the mean and provides a simple, clear process for summarizing a set of data with a single representative value.