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Unit 1 Section 1.2
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1.2: Data Classification Variables can be classified in two ways:
Qualitative Variable– variables that can be placed into distinct categories, according to some characteristic or attribute. Quantitative Variable– variables that are numerical and can be ordered or ranked.
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Quantitative Variables
Section 1.2 Quantitative Variables There are two types of quantitative variables: Discrete Variables – can be assigned values such as 0, 1, 2, 3. Variables are able to be counted. Continuous Variables – can assume an infinite number of values between any two specific values. Values are obtained by measuring (often include decimals and fractions).
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The classification of variables can be summarized as follows:
Section 1.2 The classification of variables can be summarized as follows: Data Qualitative Quantitative Discrete Continuous
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Section 1.2 Measurement Scales
Nominal – classifies data using names, labels, or qualities. Mutually exclusive (non-overlapping) Exhausting categories (not infinite) No order or ranking can be imposed on the data. Lowest level of measurement. Qualitative data only. Examples: eye color, political party, zip code
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Section 1.2 Measurement Scales
Ordinal – classifies data into categories that can be ranked. Precise differences between the ranks are not meaningful. Second lowest level of measurement Can be qualitative or quantitative. Examples: letter grades, Olympic medals
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Section 1.2 Measurement Scales
Interval – classifies data into categories that can be ranked and have precise differences. There is no meaningful zero (the number zero represents a position on the scale). Second highest level of measurement Examples: temperature, money in a savings account
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Section 1.2 Measurement Scales
Ratio - possesses all the characteristics of interval measurement and there exists a true zero. Highest level of measurement Examples: height, weight, time
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Homework Page 13: Nominal, Ordinal Ordinal, Interval, Ratio
False: Data at the ordinal level can be qualitative or quantitative. False: For data at the ordinal level, you cannot calculate meaningful differences between data entries. False: Less types of calculations can be performed with data at the nominal level than with data at the interval level. False: Data at the ratio level can be put in order.
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Homework Pg 13: 7 – 31 ODD
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