What are the measures of central tendency?

Measures of central tendency are statistical measures that provide information about the center or typical value of a dataset. In social work research, understanding these measures is crucial for analyzing and interpreting data, whether it's related to demographics, client outcomes, program effectiveness, or any other aspect of social work practice. The three primary measures of central tendency are the mean, median, and mode.

1. Mean:
The mean, also known as the average, is perhaps the most common measure of central tendency. It is calculated by summing up all the values in a dataset and then dividing by the total number of values. Mathematically, the formula for the mean (μ) is:

\[ \mu = \frac{\sum_{i=1}^{n} X_i}{n} \]

Where:
- \( X_i \) represents each individual value in the dataset.
- \( n \) is the total number of values in the dataset.

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