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INTRODUCTION TO STATISTICS CHAPTER 1: IMPORTANT TERMS & CONCEPTS
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What is STATISTICS? Statistics is the science of conducting studies to collect, organize, summarize, analyze and draw conclusions from data.
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BRANCHES OF STATISTICS STATISTICS DESCRIPTIVEINFERENTIAL Statistics that are collected, organized, etc. using data that already exists. Generalizes from samples to populations. Makes predictions.
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Identify each statistic as either descriptive or inferential. 1.Texting while driving can make you 23 times more likely to get in an accident. 2.In 2005, 50% of all paper products were recycled. 3.There are 50 to 70 confirmed shark attacks every year.
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VariablesVariables and types of Data Variables Quantitative DiscreteContinuous Qualitative http://www.usatoday.com/news/snapshot.htm
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VARIABLES AND DATA Variable – A characteristic or attribute that can assume different values. Data – are the values or measures that the variable can assume. Example: color – r, o, y, g, b, p Test - A, B, C, D, F Variable Slide
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QUANTITATIVE VARIABLES Variables that are numerical in nature and can be ordered or ranked. Examples: age, weight, height, body temperatures, etc. Variable Slide
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QUALITATIVE VARIABLES Variables that can be placed into distinct categories. Examples: colors, types of foods, seasons, brand names, etc.
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QUANTITATIVE OR QUALITATIVE? The median age in PA is 40.1 years. Among the state's occupied housing units, 69.6% were owned, compared with 30.4% that were rented. Variable Slide
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DISCRETE VARIABLES Assume values that can be counted. (usually whole numbers) Examples: # of ______, shoe size, etc. Variable Slide
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CONTINUOUS VARIABLES Can assume all values between any two specific values. They are usually obtained by measuring. Examples: temperature, weight, length, etc.
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DISCRETE OR CONTINUOUS? The median age in PA is 40.1 years. Among the state's occupied housing units, 69.6% were owned, compared with 30.4% that were rented. Next Section
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MEASUREMENT SCALES OF QUANTITATIVE VARIABLES 1.Nominal: No order or ranking ex: zip codes, locker #’s, phone #’s, etc. 2.Ordinal: Data can be ranked; however precise differences between the ranks do not exist. ex: 1 st, 2 nd, 3 rd ; letter grades, etc.
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MEASUREMENTS CON’T 3.Interval: Ranks data; Precise differences between units of measure. No meaningful zero. ex: temp., IQ, etc. 4.Ratio: Same as interval, but has a true zero ex: weight, height, length, etc.
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SAMPLING TECHNIQUES 1.Random: Samples selected by chance. 2.Systematic: Samples selected by numbering each subject and then selecting every kth number.
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SAMPLING CON’T 3.Stratified: Divide a population into groups according to a common characteristic, then sample from each group. 4.Cluster: Samples taken from already intact groups (usually locative) within a population.
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USES AND MISUSES
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