Present the measures of central tendency with suitable example

Measures of central tendency are statistical tools used to summarize a set of data by identifying a single value that represents the center or typical value of a distribution. The three most commonly used measures of central tendency are the mean, median, and mode. Each of these measures offers a different perspective on the data and is selected based on the nature of the data and the research question being studied.

### Mean

The mean, also known as the arithmetic average, is the most commonly used measure of central tendency. It is calculated by adding up all the values in a data set and then dividing the sum by the total number of values. The mean provides a good summary measure for data that is symmetrically distributed and is not heavily influenced by extreme values (outliers).

Formula for mean:

\[
\text{Mean} = \frac{\sum X}{N}
\]

Where:
- \( \sum X \) is the sum of all data points.
- \( N \) is the number of data points.

Example:
Consider the following data on the number of hours worked by a group of social workers in a week:

10, 12, 14, 16, 18

To calculate the mean:

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