MATH 225N Week 3 Statistics Distribution Shape 2021.

If the median of a data set is 13 and the mean is 13, which of the following is most likely?
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The data are skewed to the left.
The data are skewed to the right.
The data are symmetrical.
Which of the following box-and-whisker plots shows a skewed data set? Select all
answers that apply.
Well done! You got it right.
MATH 225N Week 3 Statistics
Distribution Shape 2021
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A horizontal box-and-whisker plot is above a horizontal axis labeled from 0 to 16 in
increments of 2. The box-and-whisker plot has the following five-number summary: 1, 3,
4, 6, and 15. All values are approximate. The part of the box at point 4 is represented
with a dotted line.
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A horizontal box-and-whisker plot is above a horizontal axis labeled from 0 to 20 in
increments of 5. The box-and-whisker plot has the following five-number summary: 4,
14, 16, 19, and 20. All values are approximate. The part of the box at point 16 is
represented with a dotted line.

Which of the following box-and-whisker plots shows a skewed data set? Select all
answers that apply.
Well done! You got it right.



A horizontal box-and-whisker plot is above a horizontal axis labeled from 0 to 20 in
increments of 5. The box-and-whisker plot has the following five-number summary: 4,
14, 16, 19, and 20. All values are approximate. The part of the box at point 16 is
represented with a dotted line.

 Which of the following histograms shows a skewed data set?
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 Perfect. Your hard work is paying off �
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 Correct answer: A, and B
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 A histogram has a horizontal axis labeled Values from negative 2 to 10 in
increments of 2 and a vertical axis labeled Frequency from 0 to 300 in increments
of 50. The histogram has vertical bars of width 1, starting at the horizontal axis
value of negative 0.5. The approximate heights of the bars are as follows, where
the horizontal axis label is listed first and the approximate height is listed second:
negative 0.5, 40; 0.5, 140; 1.5, 225; 2.5, 270; 3.5, 175; 4.5, 95; 5.5, 35; 6.5, 20.
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