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This box plot shows the heights (in feet) of a sample of pine trees.A pine tree that is 140 feet tall is added to the sample. How will this outlier affect the shape of the box plot?A.The new box plot will be positively skewed.B.The new box plot will be symmetric.C.The new box plot will look the same.D.The new box plot will be negatively skewed.

Question

This box plot shows the heights (in feet) of a sample of pine trees.A pine tree that is 140 feet tall is added to the sample. How will this outlier affect the shape of the box plot?A.The new box plot will be positively skewed.B.The new box plot will be symmetric.C.The new box plot will look the same.D.The new box plot will be negatively skewed.

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Solution

The addition of a pine tree that is 140 feet tall, which is an outlier, will likely cause the new box plot to be positively skewed. This is because the outlier is significantly higher than the rest of the data, pulling the right tail of the distribution out and causing a positive skew. So, the correct answer is A. The new box plot will be positively skewed.

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