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Boxplots: Skewness and Symmetry

Related Topics

Wize University Statistics Textbook > Exploratory Data Analysis

Skewness and Symmetry

2 Activities

Wize University Statistics Textbook > Displaying & Summarizing Quantitative Data

Boxplots and Five-Number Summary

3 Activities

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.
The distribution for years before selling their first home is
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?
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?
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?
More Boxplots and Five-Number Summary Questions:
Boxplots: Five-Number Summary
The amount of water drank by 24 people, in millilitres, is recorded below:
500 502 503 504 505 512 700 702 703 800 840 854
860 872 883 900 910 903 905 907 933 940 1702 1823
Making Decisions Based on Center & Spread
A high school teacher is choosing her best student to participate in a math-olympics competition. She gathers the practice test scores from 10 of her students over the past 6 months. If this teacher wants to pick the best student in terms of scores and consistency to participate in this compeition, what data attributes is she looking for? (Select all that apply)
Boxplots: Five-number summary
We surveyed 39 students and asked them how much their one-way commute to school costs them. Here are the summarized data.
Which of the following is the boxplot that can be used to represent this data?
Boxplots: Five-number Summary
The following boxplots show the final exam grades from two classes -- class A and B
Which of the following statement(s) is/are true? (Select all that apply)
Boxplots: Five-Number Summary
Given the ordered data set 8, 20, 22, 26, 30, 36, 40, 50, x, which of the following value(s) of x will make it an outlier? (select all that apply)
Boxplots: Five-number summary
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      10      300.5\ \ \ \ \ \ 1\ \ \ \ \ \ 3.5\ \ \ \ \ \ 10\ \ \ \ \ \ 30
A total of 120 families participated in this study.
Making Decisions Based on Center & Spread
A high school teacher is choosing her best student to participate in a math-olympics competition. She gathers the practice test scores from 10 of her students over the past 6 months. If this teacher wants to pick the best student in terms of scores and consistency to participate in this compeition, what data attributes is she looking for? (Select all that apply)
Boxplots: Five-number summary
We surveyed 39 students and asked them how much their one-way commute to school costs them. Here are the summarized data.
Which of the following is the boxplot that can be used to represent this data?
Boxplots: 5-number summary comparison
The number of complaints received daily over the last 20 days by two Telecommunications companies are summarized by the following boxplots.
Which of the following statements is TRUE?
Boxplots: Five-number summary
(iv) Which of the following is/are true? (Check all that applies.)
Boxplots: Interpretation
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.
Boxplots: Interpretation
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.
Boxplots: Five-number Summary
The amount of water drank by 24 people, in millilitres, is recorded below:
500 502 503 504 505 512 700 702 703 800 840 854
860 872 883 900 910 903 905 907 933 940 1702 1823
Boxplots: Five-number summary
Draw a boxplot and create a range that helps identify outliers for the following data set 8, 20, 22, 26, 30, 36, 40, 50, x.
After drawing the boxplot, decide which of the following values of x are outliers (select all that apply)
Boxplots: Five-number Summary
The number of homicides is recorded for Toronto, London, Ottawa, and Winnipeg for each year over a 25 year period. The distributions are showed by the boxplots:
Which of the following is true?
Boxplots: 5-number Summary
Suppose there was an error and the lowest (minimum) house price in Sadlands is actually $285,000. When the correction is made, what will happen? (Check all that applies.)
Boxplots: Five-number summary
I randomly sample 8 wallets see how much cash is inside each of them. Results:
5 15 25 25 40 65 85 200
Statistical Properties: Practice
True or false? Enter "T" for true; "F" for false (without quotations).
Population sampling
There are 600 Sephora locations in the United States. Christine randomly selected 40 stores, and then she randomly selected 100 customers from each of those stores. Less than 1% of her sample identified as heterosexual males. Based on her sample, the average spending at Sephora is $45. In addition, 340 customers in her sample revealed that they have VIB Rouge status, which the highest tier status that is reached when a customer spends $1,000 in a calendar year.
Which of the following is/are true? (Check all that applies.)