MATH 140 - 1G

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This chapter is from Introduction to Statistics for Community College Students, 1st Edition, by Matt Teachout, College of the Canyons, Santa Clarita, CA, USA, and is licensed

under a “CC-By” Creative Commons Attribution 4.0 International license – 10/1/18

Practice Problems Section 1G

1. Answer the following questions: a) Describe a skewed right shape? b) Describe a skewed left shape? c) Define the median average and explain how it is calculated. d) Define the first quartile (𝑄𝑄1) and explain how it is calculated. e) Define the third quartile (𝑄𝑄3) and explain how it is calculated. f) Define the interquartile range (IQR) and explain how it is calculated. 2. Answer the following questions:

a) If a data set is not normally distributed, what measure of average should we use?

b) If a data set is not normally distributed, what measure of typical spread should we use?

c) If a data set is not normally distributed, what are the two statistics that typical values are in between?

d) If a data set is not normally distributed, approximately what percentage is typical?

e) If a data set is not normally distributed, how can we use a box plot to find high outliers in the data set?

f) If a data set is not normally distributed, how can we use a box plot to find low outliers in the data set?

(#3-7) Directions: Analyze the following data sets. Go to www.matt-teachout.org, click on the “Statistics” tab, and then the “Data Sets” tab. Open the “Bear” data, the “Health” data, and the “Car” data. Go to www.lock5stat.com and copy and open StatKey. Under the “Descriptive Statistics and Graphs” menu, click on “One Quantitative Variable”. Click on “Edit Data” and copy and paste the indicated data set. Use the graphs and summary statistics to answer the following questions.

3. Bear ages (months)

a) What is the data measuring and what are the units? b) How many numbers are in the data set? c) What is the shape of the data set? d) What is the minimum value? e) What is the maximum value? f) What is the average (center)? (Give the number and the name of the statistic used.) g) How much typical spread does the data set have? (Give the number and the name of the statistic used.) h) Find two numbers that typical values fall in between. i) List all high outliers in this data set. If there are no high outliers, put “none”. j) List all low outliers in this data set. If there are no high outliers, put “none”.

4. Bear Weights (pounds)

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This chapter is from Introduction to Statistics for Community College Students, 1st Edition, by Matt Teachout, College of the Canyons, Santa Clarita, CA, USA, and is licensed

under a “CC-By” Creative Commons Attribution 4.0 International license – 10/1/18

i) List all high outliers in this data set. If there are no high outliers, put “none”. j) List all low outliers in this data set. If there are no high outliers, put “none”.

5. Women’s Systolic Blood Pressure in millimeters of mercury (mm of Hg)

6. Men’s Diastolic Blood Pressure (mm of Hg)

7. Women’s Cholesterol in milligrams per deciliter (mg/dL)

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This chapter is from Introduction to Statistics for Community College Students, 1st Edition, by Matt Teachout, College of the Canyons, Santa Clarita, CA, USA, and is licensed

under a “CC-By” Creative Commons Attribution 4.0 International license – 10/1/18

(#8-12) The following graphs and summary statistics were created from the “Car” data at www.matt-teachout.org and Statcato. Use the Statcato graphs and summary statistics to answer the following questions.

8. Weight of various cars in tons.

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http://www.matt-teachout.org/

This chapter is from Introduction to Statistics for Community College Students, 1st Edition, by Matt Teachout, College of the Canyons, Santa Clarita, CA, USA, and is licensed

under a “CC-By” Creative Commons Attribution 4.0 International license – 10/1/18

9. Gas mileage of various cars in miles per gallon (mpg).

https://creativecommons.org/licenses/by/4.0/

This chapter is from Introduction to Statistics for Community College Students, 1st Edition, by Matt Teachout, College of the Canyons, Santa Clarita, CA, USA, and is licensed

under a “CC-By” Creative Commons Attribution 4.0 International license – 10/1/18

https://creativecommons.org/licenses/by/4.0/

This chapter is from Introduction to Statistics for Community College Students, 1st Edition, by Matt Teachout, College of the Canyons, Santa Clarita, CA, USA, and is licensed

under a “CC-By” Creative Commons Attribution 4.0 International license – 10/1/18

10. The drive ratio of various cars.

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This chapter is from Introduction to Statistics for Community College Students, 1st Edition, by Matt Teachout, College of the Canyons, Santa Clarita, CA, USA, and is licensed

under a “CC-By” Creative Commons Attribution 4.0 International license – 10/1/18

g) How much typical spread does the data set have? (Give the number and the name of the statistic used.) h) Find two numbers that typical values fall in between. i) List all high outliers in this data set. If there are no high outliers, put “none”. j) List all low outliers in this data set. If there are no high outliers, put “none”.

11. The horsepower of various cars.

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This chapter is from Introduction to Statistics for Community College Students, 1st Edition, by Matt Teachout, College of the Canyons, Santa Clarita, CA, USA, and is licensed

under a “CC-By” Creative Commons Attribution 4.0 International license – 10/1/18

12. The measure of displacement for various cars.

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This chapter is from Introduction to Statistics for Community College Students, 1st Edition, by Matt Teachout, College of the Canyons, Santa Clarita, CA, USA, and is licensed

under a “CC-By” Creative Commons Attribution 4.0 International license – 10/1/18

13. Classify each of the following statistics as a measure of center, spread or position.

a) Q1 b) Mean c) Variance d) Standard Deviation e) Minimum f) Q3 g) Mode h) IQR i) Median j) Range k) Maximum l) Midrange

https://creativecommons.org/licenses/by/4.0/

This chapter is from Introduction to Statistics for Community College Students, 1st Edition, by Matt Teachout, College of the Canyons, Santa Clarita, CA, USA, and is licensed

under a “CC-By” Creative Commons Attribution 4.0 International license – 10/1/18

14. Define each of the following statistics and describe when that statistic should be used.

a) Q1 b) Mean c) Variance d) Standard Deviation e) Minimum f) Q3 g) Mode h) IQR i) Median j) Range k) Maximum l) Midrange

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