To determine which data points are represented by the dots at 5 and 9.5, we need to consider what these values might represent in the context of statistical data analysis.
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Lower and upper extremes typically refer to the minimum and maximum values in a data set. Dots at 5 and 9.5 don't fit this description unless your entire data set is very limited (but this isn't typical).
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Medians of the entire data set would just be one value, not two separate dots at 5 and 9.5.
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Medians of lower and upper quartiles makes sense if we assume 5 is the median of the lower half of the data and 9.5 is the median of the upper half.
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Modes of the entire data set would indicate the most frequently occurring numbers, which could be any values but typically wouldn’t be viewed as dots specifically at those points without additional context.
Given the above options, the most reasonable interpretation would be that the dots at 5 and 9.5 represent the medians of the lower and upper quartiles, respectively.
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