Determine Whether the Quantitative Variable is Discrete or Continuous Length of a Country Song

Qualitative Versus Quantitative

A variable is a characteristic of an object. Their values may occur more than once for a set of data. We consider just two main types of variables in this course.

Quantitative Variables - Variables whose values result from counting or measuring something.

Examples: height, weight, time in the 100 yard dash, number of items sold to a shopper

Qualitative Variables - Variables that are not measurement variables. Their values do not result from measuring or counting.

Examples: hair color, religion, political party, profession

Designator - Values that are used to identify individuals in a table. Designator values usually do not repeat in a table, but variable values often do repeat.

Examples: name, rank, jersey number of a team member, cell phone number, license number.

Exercises: In the tables below identify which columns represent qualitative variables, which columns represent quantitative variables, and which columns represent designators.

1) Highest U.S. Dams

Name	Height	River	State	Completed
Oroville	754	Feather	CA	1968
Hoover	725	Colorado	NV	1936
Dworshak	718	N Fork Clearwater	ID	1873
Glen Canyon	708	Colorado	AZ	1966
New Bullards Bar	636	North Yuba	CA	1970
New Melones	626	Stanislaus	CA	1979
Swift	610	Lewis	WA	1958
Mossyrock	607	Cowlitz	WA	1968
Shasta	600	Sacramento	CA	1945
Hungry Horse	564	S Fork Flathead	MT	1953
Grand Coulee	551	Columbia	WA	1942
Ross	541	Skagit	WA	1949

Source: The World Almanac and Book of Facts 1998

2) Super Bowls

No.	Year	Winner	Winning Score	Loser	Losing Score	Winning Coach	Game Site
I	1967	Packers	35	Chiefs	10	Lombardi	Los Angeles
II	1968	Packers	33	Raiders	14	Lombardi	Miami
III	1969	Jets	16	Colts	7	Ewbank	Miami
IV	1970	Chiefs	23	Vikings	7	Stram	New Orleans
V	1971	Colts	16	Cowboys	13	McCafferty	Miami
VI	1972	Cowboys	24	Dolphins	3	Landry	New Orleans
VII	1973	Dolphins	14	Redskins	7	Shula	Los Angeles
VIII	1974	Dolphins	24	Vikings	7	Shula	Houston
IX	1975	Steelers	16	Vikings	6	Noll	Miami
X	1976	Steelers	21	Cowboys	17	Noll	Pasadena
XI	1977	Raiders	32	Vikings	14	Madden	New Orleans

Source: The World Almanac and Book of Facts 1998

The following are some examples of qualitative and quantitative variables. You may not use these examples for ESA 2, but you may use similar tables of information.

The following information came from www.cjlt.ca/index.php/cjlt/article/viewArticle/34/31 on June 27, 2011. The table in the article contains a lot more information than this, so I just copied the information needed from the first 21 rows. This is a fairly complex example. There are much simpler examples available that would satisfy the criteria for ESA 2.

The "Year" column is quantitative and the "Location" column is qualitative.

Authors	Year	Location
Corstan and Colman	1996	UK
DeLaere et. al.	1998	USA
Hall and Cooper	1991	USA
Hanson	1990	USA
Hawk	1989	USA
Jones and McComac (study 1)	1992	UK
Jones and McComac (study 2)	1992	UK
Kim and Moon (study 3)	1998	Korea
Kim and Moon (study 4)	1998	Korea
Lee and Moray	1992	USA
Lerch et. al. (study 1)	1997	USA
Lerch et. al. (study 3)	1997	USA
Lerch et. al. (study 4)	1997	USA
Muenier	1995-96	USA
Muir and Moray (study 1)	1996	CND-FR
Muir and Moray (study 2)	1996	CND-FR
Robinson-Stavely and Cooper (study 1)	1990	USA
Robinson-Stavely and Cooper (study 2)	1990	USA
Rosenthal	1990	USA
Song	1990	USA
Sproul, et. al.	1991	USA

The qualitative variable "County" has only three possible outcomes: D, B and B/D, and I want at least four possible values for the categorical variable you find for ESA 2. The other two possible qualitative variables, "Public Boat Landing" and "Other Public Access", have too many blank cells to be acceptable.

Again, you may not use any of the examples given on this site for ESA 2, but you may use similar tables of information.

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Source: https://www2.southeastern.edu/Academics/Faculty/dgurney/Math241/StatTopics/QualVsQuant.htm