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the box plot below represents some data set. approximately what percentage of the data values are greater than 16?
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Step1: Recall the properties of box - plot
In a box - plot, the median divides the data into two halves. The lower half (25% - 50%) and upper half (50% - 75%) are also divided. The value \(16\) is the median of the data set.
Step2: Calculate the percentage of data greater than the median
Since the median splits the data set into two equal parts. By the definition of the median in a data set (for a box - plot, the line inside the box is the median), 50% of the data lies above the median and 50% lies below the median.
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\(50\%\)