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A box plot graphically displays ______. Select one: a. the minimum, maximum, mean, 25th percentile, and 75th percentile values b. the minimum, maximum, 50th percentile, 20th percentile, and 80th percentile values c. the minimum, maximum, median, 25th percentile, and 75th percentile values d. the 25th percentile, 75th percentile, and 100th percentile value

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Final Answer:

A box plot graphically displays the minimum, maximum, median, 25th percentile, and 75th percentile values (option C).

Step-by-step explanation:

A box plot, also known as a box-and-whisker plot, is a graphical representation of the distribution of a dataset. The key components of a box plot include the minimum and maximum values (whiskers), the median (or 50th percentile, denoted as the line inside the box), and the interquartile range (IQR), which represents the range between the 25th and 75th percentiles.

In option c, it correctly states that a box plot displays the minimum, maximum, median, 25th percentile, and 75th percentile values. These values provide a comprehensive summary of the dataset's central tendency and spread. The box itself represents the IQR, and the whiskers extend to the minimum and maximum values.

Understanding the components of a box plot is essential for visually assessing the distribution of data, identifying outliers, and gaining insights into the dataset's statistical characteristics.

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