To determine the best measure of center for the dataset {0.06, 1, 1, 2, 3, 4, 4, 5, 6, 7, 8, 9, 9}, we should consider the characteristics of the data.
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Mean: This is the average of all the data points. However, the presence of the outlier (0.06) can skew the mean downward and may not be representative of the center of the data.
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Median: This is the middle value when the data points are ordered. The dataset has 13 numbers, so the median is the 7th value, which is 4. The median is more robust to outliers and often provides a better measure of center for skewed distributions.
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Mode: The mode is the value that appears most frequently. In this dataset, the mode is 1 and 4 (both appear twice), but modes do not always represent the center effectively in numerical datasets.
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Range: This isn't a measure of center; it only describes the spread of the data (highest value - lowest value) and therefore is not applicable here.
Given that the dataset includes an outlier (0.06) that significantly affects the mean, the median is generally the best measure of center for this dataset.
Answer: median.