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Measures of central tendency are fundamental statistical tools that help summarize large sets of data by providing a single representative value that indicates the central point around which the data are distributed. In research methodology, particularly in development studies, these measures serve as essential instruments for simplifying complex social, economic, and demographic data, making them interpretable and useful for policy formulation, program evaluation, and development planning. The three primary measures of central tendency are the mean, median, and mode. Each of these has distinct properties, methods of calculation, and applications, and their suitability depends on the type of data and the purpose of analysis. The arithmetic mean, often referred to simply as the average, is calculated by adding up all the values in a data set and dividing the sum by the number of observations. It is one of the most commonly used measures of central tendency because it incorporates every observation, thus providing a balanced representation of the dataset. In development studies, the mean is frequently used to compute indicators such as average household income, average literacy rate, or average life expectancy. For example, when analyzing the per capita income of different regions within a country, the mean income is obtained by dividing the total income of the region by the total population. This helps policymakers assess the overall economic wellbeing of a region. However, the mean is highly sensitive to extreme values or outliers. In situations where there is a wide disparity in data, such as when a small group of very wealthy individuals skews the income distribution, the mean may give a misleading impression of the general population’s condition. For instance, if five households have monthly incomes of 10,000, 12,000, 14,000, 15,000, and 200,000, the mean income will be disproportionately inflated by the highest value, failing to reflect the reality of the majority. To address such issues of skewed distributions, the median ___ _________ ___ _________ ___ _______.
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