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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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