Statistics deals with collecting, organizing, and analyzing data. The mean, median, and mode are three measures of central tendency that summarize dat
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Which measure of central tendency should I use?
Use mean for symmetric data without outliers and for calculations. Use median for skewed data or data with outliers. Use mode for categorical data or to find the most frequent value. Often report all three for a complete picture.
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Can the median be a value not in the dataset?
Yes, when there is an even number of values, the median is the average of the two middle values, which may not appear in the dataset. For example, in 1, 2, 3, 4, the median is 2.5.
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How does changing one value affect each measure?
Changing a value at one end affects the mean significantly. The median is less affected unless the value is near the middle. The mode is unaffected unless the changed value becomes the new mode. This is why median is more robust.
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