Question

tate says there are more data from the minimum to the lower quartile than from the upper quartile to the maximum because the line segment on the left is longer than the line segment on the right. is tate correct? tate is? because each section of the box plot? an equivalent portion of the data set.

Explanation:

Step1: Understand the property of box - plot

In a box - plot, each section (the segment from minimum to lower quartile, from lower quartile to median, from median to upper quartile, from upper quartile to maximum) represents \(25\%\) of the data.

Step2: Analyze Tate's statement

Tate is comparing the length of the segment from minimum to lower quartile (left - hand side) and from upper quartile to maximum (right - hand side). But the length of the segment does not determine the amount of data. The amount of data in each of these two segments is the same (\(25\%\) of the data set).

Answer:

Tate is incorrect because each section of the box plot represents an equivalent portion of the data set.