Based upon the information shown in the following box plot, which one of the following statements is correct?

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The median of a dataset, represented by the line inside the box of a box plot, divides the data into two equal parts. In this context, stating that the median is greater than 30 indicates that the midpoint of the data distribution lies above this value. The correct interpretation of a box plot position, showing that the median is above a certain threshold, signifies that at least half of the data points reside above that threshold.

The other statements can be analyzed for clarity. For instance, the interquartile range is defined as the difference between the first quartile (25th percentile) and the third quartile (75th percentile), which might very well be less than the total range of the dataset depending on how the data is distributed. The mean may not necessarily be visually represented in a box plot, particularly since the box plot focuses more on medians and quartiles. Lastly, saying the 50th percentile is less than 30 would directly contradict the information revealed in the box plot if the median is indeed greater than 30. Thus, the assertion that the median is greater than 30 holds true as a reflection of the distribution depicted in the box plot.

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