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Skewness and Symmetry

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Wize University Statistics Textbook > Exploratory Data Analysis

Skewness and Symmetry

2 Activities

True or false? Enter "T" for true and "F" for false.

1. Multimodal distributions could not be skewed.

2. If the mean is equal to the median, then the distribution must be symmetric and unimodal.

3. Based on the summary statistics, the distribution is skewed to the right.



4. If the distribution is skewed to the left, then the distance between Q1 and the median is greater
than the distance between the median and Q3.


5. A bimodal distribution always has a larger distribution than a unimodal distribution.

6. The grades in Section 001 ranges from 20% to 90%. In Section 002, the grades ranges from 10%
to 80%. The sections have the same range and interquartile range.
More Skewness and Symmetry Questions:
Skewness and Symmetry
For each variable, determine whether its distribution is more likely to be symmetric, skewed to the right, or skewed to the left.
NHL players' salaries.
Skewness and Symmetry
For each variable, determine whether its distribution is more likely to be symmetric, skewed to the right, or skewed to the left.
Number of pets in a household.
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Here's a summary of the statistics for the height of students in a kindergarden class:
Shortest student: 83cm
Mean height: 92cm
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If the graph of a distribution is positively skewed, what must be true about this graph?
Skewness and Symmetry
Twenty-three students wrote a quiz and their marks out of 50 are recorded. Here is the data: 8, 20, 21, 22, 30, 30, 31, 36, 37, 37, 37, 41, 41, 42, 43, 44, 45, 45, 45, 48, 48, 49, 50.
Which of the following is true?
Boxplots: Skewness and Symmetry
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0.5  1  3.5  6  300.5\ \ 1\ \ 3.5\ \ 6\ \ 30
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Which of the following is true?
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Skewness and Symmetry
The data "peaks" at a bin near the higher end of a unimodal histogram. Which of the following is true about the distribution?