Chapter 1 d3.pdf - MATH 2311 Introduction to Probability...

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MATH 2311 - Introduction to Probability and StatisticsChapter 1Thomas Weber[email protected]University of HoustonFall 2019Weber(University of Houston)MATH 2311 - Ch. 1Fall 20191 / 74
1.1 - Types of DataChapter 1 Contents11.1 - Types of Data21.2 - Measures of Center31.3 - Standard Deviation and Variance41.4 - Range, IQR and Finding Outliers51.5 - Graphs and Describing DistributionsWeber(University of Houston)MATH 2311 - Ch. 1Fall 20192 / 74
1.1 - Types of DataWhat is Statistics?DefinitionStatistics- a branch of mathematics dealing with the collection, analysis,interpretation, and presentation of masses of numerical data(Merriam-Webster)Why do we care?We face uncertainty in everything we doWhen data is analyzed, it can help us make decisions when faced withuncertainty.What do we need to know?What questions need to be answeredHow much data we needHow to collect the dataHow to summarize the dataWhat decision can be made based our question and the gathered dataWeber(University of Houston)MATH 2311 - Ch. 1Fall 20193 / 74
1.1 - Types of DataWhat is data?
MATH 2311 - Ch. 1Fall 20194 / 74
1.1 - Types of DataExercise 1.1.1A researcher is interested in the effect of a new medication for men withhigh blood pressure. A group of 30 men is selected and half are given themedication for 6 months and the other half take a placebo. At the end of6 months, their blood pressure is recorded and compared to their bloodpressure before the trial. For this study, identify the population andidentify the sample.Weber(University of Houston)MATH 2311 - Ch. 1Fall 20195 / 74
1.1 - Types of DataExercise 1.1.2The University of Houston in interested in how many students buy usedbooks as opposed to new ones. They randomly choose 100 students at thestudent center to interview. For this study, identify the population andidentify the sample.Weber(University of Houston)MATH 2311 - Ch. 1Fall 20196 / 74
1.1 - Types of DataVariablesDefinitionVariable- a characteristic that varies for one individual (or object) to thenextQuantitative Variable- a measurement or observation that takes onnumeric valuesAlso called anumeric variableExamples: height, number of occurrrences, temperatureQualitative Variable- describe qualities or attributes of an individual(or object)Also called acategorical variableExamples: eye color, favorite sport, marital statusWeber(University of Houston)MATH 2311 - Ch. 1Fall 20197 / 74

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