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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 pine tree that is 140 feet tall is added to the sample. how will this outlier affect-example-1

2 Answers

4 votes

Answer:

Explanation:

answered
User Aitul
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4 votes

Answer:

D. The new box plot will be positively skewed.

Explanation:

We have been given a box plot which represents the the heights (in feet) of a sample of pine trees.

We are asked to determine that affect of adding a pine tree that is 140 feet tall to the sample.

We can see from our box plot that the tallest pine tree is 75 feet and 140 is approximately 2 times greater than 75.

After adding the a tree that is 140 feet tall, the maximum height will be 140 and our right whisker will be at point 140.

Since we know that for a positive skewed data, the tail of the distribution is longer on the right hand side.

As 140 is a extreme positive outlier for our given data set, therefore, after adding a tree that is 140 feet tall our box plot will be positively skewed and option D is the correct choice.

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User Meyumer
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