To determine which measure of center or variability is shared by both distributions of daily high temperatures for the two cities, we need to consider each option:
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Median: This is the middle value when data points are arranged in order. If both distributions are symmetric or similar in structure, the median may be the same.
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Mode: This is the most frequently occurring value in a dataset. Two distributions can share a mode, but it's not always guaranteed unless they have common values appearing the same number of times.
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Range: This is the difference between the highest and lowest values in a dataset. Two distributions can have the same range if their highest and lowest temperatures are the same.
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Mean: This is the average of the dataset. Two distributions will not typically share the same mean unless their individual daily high temperatures provide the same average.
To specifically identify which one both distributions share, you would need to look at the individual data points and calculate each measure. However, median and mode are more likely to be shared than mean, as they depend on specific values rather than overall averages.
Without the actual data or dot plots to observe, one cannot definitively say which measure is shared. However, if both distributions seem to present similar patterns, then "median" is often a common shared attribute due to its resistance to outliers, whereas "range," "mean," and "mode" can differ based on specific values.
If you're looking for a common measure that is likely to be shared, the median is a good choice. Therefore, the response would be:
median.