a pine tree that is 140 feet tall is added to the sample. how will this outlier affect the shape of the box plot?

Mathematics

2 answers:

enot [183]2 years ago

4 0

Answer:

D. The new box plot will be positively skewed.

Step-by-step 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.

Alex2 years ago

3 0

Answer:

D. The new box plot will be positively skewed.

Step-by-step explanation:

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dezoksy [38]

Answer: the height of the kite is 106.065 ft

Step-by-step explanation:

The length of the kite represents the hypotenuse of the right angle triangle. The height of the kite represents the opposite side of the right angle triangle.

To determine x, the height of the kite, we would apply the sine trigonometric ratio which is expressed as

Sin θ = opposite side/hypotenuse

Therefore,

Sin 45 = x/150

Cross multiplying, it becomes

x = 150Sin45 = 150 × 0.7071

x = 106.065 ft

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