4. Use the two box-and-whisker plots shown below to determine which of the following statements is true
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The lower quartiles are equal.
The upper quartiles are equal.
They both have the same median.
The range is the same for both sets of data.
The lower quartiles are equal.
To determine which of the given statements is true, we need to analyze the two box-and-whisker plots.
A box-and-whisker plot provides a visual representation of the five-number summary: the minimum value, the lower quartile (25th percentile), the median (50th percentile), the upper quartile (75th percentile), and the maximum value. This helps us understand the distribution of a dataset and compare different sets of data.
Looking at the given information, we have two box-and-whisker plots. However, the actual plots are missing from the question, so we cannot analyze the data directly. We can only analyze the statements based on the properties of a box-and-whisker plot.
1. "The lower quartiles are equal": To verify this statement, we would need to compare the lower quartiles of both plots. The lower quartile is the value below which 25% of the data falls. If the lower quartiles of both sets of data are the same, this statement would be true.
2. "The upper quartiles are equal": Similar to the previous statement, we would need to compare the upper quartiles of both plots. The upper quartile is the value below which 75% of the data falls. If the upper quartiles of both sets of data are the same, this statement would be true.
3. "They both have the same median": The median is the central value in a dataset. If the medians of both sets of data are the same, this statement would be true.
4. "The range is the same for both sets of data": The range is the difference between the maximum and minimum values in a dataset. If the ranges of both sets of data are the same, this statement would be true.
Since we don't have the actual box-and-whisker plots, we cannot determine which statement is true based on the given information. To know the correct statement, we would need to see the actual box-and-whisker plots or have more specific information about the data represented in the plots.
To determine which of the following statements is true, we need to analyze the given box-and-whisker plots:
However, since the box-and-whisker plots are not provided in the question, it is not possible to determine which statement is true without visual representation or additional information. Could you please provide the box-and-whisker plots?