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Understand the distinctions between qualitative and quantitative data, as well as the levels of measurement including nominal, ordinal, interval, and ratio. Explore examples and practice problems to solidify your knowledge.
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Do Now and Example for Notebook In a recent study, volunteers who had 8 hours of sleep were three times more likely to answer questions correctly on a math test than were sleep-deprived participants. Is this an example of a population parameter or a sample statistic?
Section 1.1 Classwork/Homework Page 6 – 7, #’s 1 - 32 Make sure that you review all your definitions from 1.1 and 1.2
1.2 - Data Classification Objectives 1.) Distinquish between qualitative and quantitative data 2.) Classify data
Types of Data Quantitative Data – consist of numerical measurements or counts Qualitative Data – consist of attributes, labels or nonnumerical entries.
Classifying Data by Type Qualitative Two data sets Quantitative
Levels of Measurement Nominal Level of Measurement – Data that are only qualitative. Data using Names, Labels, or qualities. No mathematical computations can be made. Ordinal Level of Measurement – Data that are qualitative or quantitative. Data can be arranged in order, or ranked, but differences between data entries do not have mathematical meaning.
Example of Nominal Data • Qualitative • No mathematical computations can be made • Names are not being ranked
Ordinal Level of Measurement • Data consists of ranks • Ranks can be listed in order • Ranks between 1 and 5 has no mathematical meaning
Levels of Measurement Interval Level of Measurement – Data that can be ordered, and meaningful differences between data entries can be calculated.
Levels of Measurement Ratio Level of Measurement – Data are similar to data at the interval level. A ratio of two data entries can be formed so that one data entry can be meaningfully expressed as a multiple of another.
Example of Interval • The data is quantitative • Can find differences between the years • Can not write ratios the numbers given
Example of Ratio • Quantitative Data • Can find differences • Can write ratios New York hit about 1.5 times as many home runs as Detroit hit
Homework Section 1.2, Pages 13 – 14, #’s 1 - 22