In statistics, which term best describes a data set with very closely clustered values?

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A data set with very closely clustered values is best described by having a low standard deviation. The standard deviation is a statistical measure that quantifies the amount of variation or dispersion in a set of values. When the values in a data set are closely clustered together, it indicates that most of the data points are near the mean, resulting in a low standard deviation. This suggests that there is little variability among the values.

On the other hand, options like high standard deviation would indicate a wide spread of values, meaning the data points are diverse and not closely clustered. The mode, which refers to the most frequently occurring value in the data set, does not provide information about how close the values are to each other. Similarly, the range, defined as the difference between the maximum and minimum values, relates to the extent of values in the set rather than how closely they are grouped together. Therefore, low standard deviation is the most accurate description of a data set with very closely clustered values.

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