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question the box plot below represents some data set. approximately wha…

Question

question
the box plot below represents some data set. approximately what percentage of the data values are less than
40?
answer
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Explanation:

Step1: Recall the properties of box - plot

In a box - plot, the median divides the data into two halves. The lower half of the data is below the median and the upper half is above the median. Also, the first quartile ($Q_1$) represents the 25th percentile and the third quartile ($Q_3$) represents the 75th percentile.

Step2: Analyze the value of 40 in the box - plot

In a box - plot, the median line inside the box represents the 50th percentile. If we consider the position of 40. Looking at the structure of the box - plot, 40 is the median value of the data set.

Answer:

50%