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QUESTION IMAGE

the dot plot and the box plot represent the same data set. the dot plot…

Question

the dot plot and the box plot represent the same data set. the dot plot has a tail on the left, so that means the data are skewed left. compare the data shown in the dot plot to the box plot. what about the box plot shows that the data are skewed left? the median is? the left side of the box. the? line segment is longer than the? line segment.

Explanation:

Step1: Analyze the position of the median in a box - plot for skewed data

In a box - plot, for skewed - left data, the median is closer to the left side of the box. This is because the left - skewed distribution has a tail on the left, pulling the median towards the left.

Step2: Analyze the lengths of the whiskers (line segments)

In a box - plot, the whiskers represent the range of the data outside the inter - quartile range. For a left - skewed distribution, the left whisker (the line segment on the left side of the box) is longer than the right whisker (the line segment on the right side of the box)

Answer:

The median is closer to the left side of the box. The left line segment (whisker) is longer than the right line segment (whisker).