Elaborate on Measures of Central Tendancy.

Measures of central tendency are statistical tools used to describe the center or typical value of a data set. They help summarize a large data set with a single value that represents the distribution. The three most commonly used measures of central tendency are the mean, median, and mode. Each of these measures provides a different perspective on the data and can be more useful depending on the nature of the data and the research question.

The mean is the most widely used measure of central tendency. It is calculated by adding all the values in a data set and dividing the sum by the number of values. In formula terms, it is expressed as:

Mean=∑Xn\text{Mean} = \frac{\sum X}{n}

where ∑X\sum X represents the sum of all data points and nn _____ _____ ______ ___ __________ ____ ___ ____ ____ _____.
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