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Measures of central tendency are statistical tools used to summarize a set of data by identifying the central point around which the data values cluster. In social work research, these measures help researchers understand the general pattern of responses, behaviors, or characteristics within a population or sample. They are essential for describing, comparing, and interpreting data, especially when dealing with large datasets where individual data points may not provide a clear picture of trends or patterns. The three most commonly used measures of central tendency are the mean, median, and mode, each offering a different perspective on the central value of data. The mean, often referred to as the arithmetic average, is calculated by summing all the values in a dataset and dividing by the total number of observations. It provides a balanced point that considers every data value, making it highly useful in research where all data points carry importance. In social work, the mean can help determine the average level of a variable, such as the average income of families in a community, the average score on a stress scale, or the mean number of service contacts received by clients. However, the mean is sensitive to extreme values or outliers. For instance, if a small number of families in a study have extremely high incomes, the mean may overestimate the typical income level for most families. Despite this limitation, the mean remains a powerful and widely applied measure, particularly when data are approximately normally distributed. The median represents the middle value in an ordered dataset, dividing the data into two equal halves. If the dataset has an odd number of observations, the median is the middle value, and if even, it is the average of the two middle values. Unlike the mean, the ______ ________ _______ _____ ________ ______.
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