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Skewness and Symmetry

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Wize University Statistics Textbook > Exploratory Data Analysis

Skewness and Symmetry

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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?
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.
Skewness and Symmetry
Here's a summary of the statistics for the height of students in a kindergarden class:
Shortest student: 83cm
Mean height: 92cm
Skewness and Symmetry
If the graph of a distribution is positively skewed, what must be true about this graph?
Boxplots: Skewness and Symmetry
The 5 number summary statistics for the number of years a typical family owns their first home before selling it is given by:
0.5  1  3.5  6  300.5\ \ 1\ \ 3.5\ \ 6\ \ 30
A total of 120 families participated in this study.
Skewness and Symmetry
The distribution of a nominal variable can be...
Skewness and Symmetry
True or false? Enter "T" for true and "F" for false.
1. Multimodal distributions could not be skewed.
F
2. If the mean is equal to the median, then the distribution must be symmetric and unimodal.
F
Histograms, Skewness and Symmetry
The histogram refers to the number of emails Melanie responds to during a day at work:
Which of the following is true?
Histograms, Skewness and Symmetry
Melanie was able to respond to 91 emails today. If we add this additional data to the histogram, what will happen?
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?