To determine the most reasonable interval for the given data set (45, 79, 30, 80, 21), we first identify the range of the data. The minimum value is 21, and the maximum is 80, giving a range of 80 - 21 = 59. A reasonable interval could be 20, as it covers the range effectively with intervals of 20 (e.g., 20-39, 40-59, 60-79, 80-99). This grouping allows for a clear understanding of the distribution of the values.
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