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These metrics provide a comprehensive view of central tendencies (mean and median) and data spread (standard deviation), helping to summarize data, spot patterns, and identify outliers.
To calculate the average (mean), you add up all values and divide by the number of entries. The average provides a central value but can be skewed by outliers. For example, if you're calculating the average salary in a company, a few very high salaries might inflate the average, making it less representative of most employees' pay.
The median is the middle value when all values are ordered from smallest to largest. If there's an odd number of entries, it's the exact middle; with an even number, it's the average of the two middle values. The median is often more useful in skewed datasets because it isn't affected by outliers, providing a more accurate picture of a typical value. In a salary dataset, for instance, the median might be a better indicator of typical pay if high salaries skew the average.
Standard deviation shows the spread of data around the mean. It's calculated by taking the square root of the average squared deviations from the mean. A low standard deviation means data points are close to the average, indicating low variability, while a high standard deviation shows that data points are more spread out. For example, a low standard deviation in customer ages would suggest most customers fall within a similar age range, while a high standard deviation would indicate a wider age distribution.