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1.2 Classification.notebook September 08, 2016 Homework Answers 2. It's too impractical to use populations. 4. Descriptive and Inferential 46. a. volunteers in the study b. all people who took the test c. descriptive

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1.2 Data Classification

Sep 4­7:56 AM 1 1.2 Data Classification.notebook September 08, 2016 Types of Data

Qualitative Data: consists of attributes, labels or nonnumerical entries

Quantitative Data: consists of numerical measurements or counts

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The populations of several U.S. cities are shown in the table. Which data are qualitative data and which are quantitative data?

City Population Baltimore, MD 636,919 Jacksonville, FL 807,815 Memphis, TN 669,651 Pasadena, CA 143,080 San Antonio, TX 1,351,305 Seattle, WA 598,541

Sep 4­8:02 AM 2 1.2 Data Classification.notebook September 08, 2016 Determine whether the data are quantitative or qualitative.

a. Number of picture a chimp correctly identifies

b. Leaf colors of two different trees in fall

c. Numbers on 43 Nascar cars

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Levels of Measurement: nominal, ordinal, interval, and ratio.

Data of the nominal : are qualitative only. Data at this level are categorized using names, labels, or qualities. No mathematical computations can be made at this level.

Data of the ordinal level of measurement: are qualitative or quantitative. Data at this level can be arranged in order, or ranked, but differences between data entries are not meaningful.

Sep 4­8:16 AM 3 1.2 Data Classification.notebook September 08, 2016

Consider the following data sets. For each data set, decide whether the data are at the nominal level or at the ordinal level.

1. The final standings for the Pacific Division of the National Basketball Association 2. A collection of phone numbers

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*The two highest levels of measurement consist of quantitative data only.

Data at the interval level of measurement: can be ordered, and meaningful differences between data entries can be calculated. At the interval level, a zero entry simply represents a position on a scale; the entry is not an inherent zero.

Data at the ratio level of measurement are similar to data at the interval level, with the added property that a zero entry is an inherent zero. A ratio of two data values can be formed so that one data value can be meaningfully expressed as a multiple of another.

*An inherent zero is a zero that implies "none.": $0 = no money. A nonexample of inherent zero: 0oC does not no temperature.

Sep 4­8:17 AM 4 1.2 Data Classification.notebook September 08, 2016 Extra Example 3... Decide whether the data are at the interval level or at the ratio level. • The body temperatures (in degrees Fahrenheit) of an athlete during an exercise session • The heart rates (in beats per minutes) of an athlete during an exercise session

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*The following tables summarize which operations are meaningful at each of the four levels of measurement. When identifying a data set's level of measurement, use the highest level that applies.

Determine if Arrange Subtract one Level of Put data in data in data data value is a measurement categories order values multiple of another

Nominal Yes No No No Ordinal Yes Yes No No Interval Yes Yes Yes No Ratio Yes Yes Yes Yes

Sep 4­8:51 AM 5 1.2 Data Classification.notebook September 08, 2016 Identify the level of measurement for each of the following: a. military title ­ Lieutenant, Captain, Major ordinal b. categories of clothing ­ hat, shirt, pants, socks nominal c. heat measured in degrees celsius interval d. city of birth

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Homework

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