Discuss how the three measures of central tendency (mean, median, mode) in statistics can lead to a value that is not representative of the population

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A single number that seeks to characterise a set of data by pinpointing the centre location within that set of data is referred to as a measure of central tendency. As a result, measurements of central location are occasionally used to refer to measures of central tendency. They also fit within the category of summary statistics. The mean, median, and mode are all reliable indicators of central tendency, however depending on the situation, certain indicators are more useful than others.

Mean does not utilise all of the information present in the data since it does not account for the precise value of each observation. Contrary to mean, median cannot be further mathematically calculated and is therefore rarely employed in statistical testing.

When the distribution is not symmetrical, the median is typically the favoured measure of central tendency since it is less impacted by outliers and skewed data than the mean. A median's limitations include: For categorical nominal data, the median cannot be determined since it cannot be logically arranged.

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