As a domain expert in statistical analysis, I can provide an insightful explanation of what the range indicates in a data set. The range is a fundamental measure of statistical dispersion, which is a way to describe the spread of a set of data points. It is calculated by subtracting the smallest value (minimum) from the largest value (maximum) within a data set. Step 1: English Answer The range is a simple yet powerful tool in statistics that provides a quick snapshot of the variability within a data set. It is defined as the difference between the highest and lowest values, which is a straightforward calculation that doesn't require complex mathematical operations. This measure is particularly useful for identifying outliers and for getting a preliminary sense of the data's distribution. When you're examining a data set, the range can give you a rough idea of how much the values vary. A small range suggests that the data points are clustered closely together, indicating a high level of consistency within the data. Conversely, a large range indicates that the data points are spread out over a wider interval, which can suggest a greater degree of variability or the presence of outliers. However, it's important to note that the range has its limitations. It is highly sensitive to outliers, which are extreme values that can significantly skew the understanding of the data's dispersion. Because the range only considers the maximum and minimum values, it can sometimes provide a misleading picture of the data's variability, especially in cases where there are outliers. To complement the range, statisticians often use other measures of central tendency such as the mean (average), median (middle value when data is ordered), and mode (most frequently occurring value). These measures, along with the range, provide a more comprehensive view of the data set's characteristics. The mean is perhaps the most commonly used measure of central tendency. It is calculated by summing all the values in the data set and then dividing by the number of values. The mean can be influenced by outliers, which is where the median and mode come into play. The median is less affected by outliers and provides a more accurate representation of the data's central location when dealing with skewed distributions. The mode is useful when dealing with categorical data or when there is a clear peak in the data distribution. In summary, while the range is a quick and easy way to gauge the variability of a data set, it should be used in conjunction with other statistical measures to get a fuller understanding of the data. It's a starting point, but not the end of the analysis. Step 2: Divider read more >>

In statistics, that single value is called the central tendency and mean, median and mode are all ways to describe it. ... Range, which is the difference between the largest and smallest value in the data set, describes how well the central tendency represents the data.Oct 29, 2014read more >>