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Warm Up: What is Statistics?
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Intro: What is Stats? Statistics: Data:
The science (and art) of learning from data. Data: Numbers with a contextual meaning. We use data and Statistics to draw conclusions about a population based on sample information. Data/Statistics Population Inference/Conclusions Sample
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Important Terms Population – the group we wish to study
Sample – a portion or small group from the population Census – data on everyone in a population Anecdote – limited information about a population, often misleading
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4 Themes of Stats Part I: Exploratory Data Analysis
The tools and strategies for organizing, displaying, describing, and analyzing data. Part II: Producing Data Designing surveys, experiments, and observational studies that will yield the data necessary to answer a question of interest. Part III: Probability The study of chance behavior. How likely are certain outcomes? Part IV: Inference Draw conclusions about the population based on samples. Test claims and compute estimates.
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Traditional Math vs. Stats
Focused on calculation/process Usually one correct answer Statistics: Focused on understanding what the answer means A lot of reading and writing
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Probability Activity You will do this with a partner from your table. Your partner is sitting next to you. Flip a Hershey’s kiss 40 times. Record each time the kiss lands with the “point up” vs. “not point up.” Calculate the proportion of “point up” landings after these flips: 1, 2, 3, 4, 5, 10, 15, 20, 25, 30, 35, 40 Plot your data on the board.
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Chapter 1 - Important Terms
Individuals – Objects described by a set of data. Could be people, animals, computer chips, etc. Variable – Characteristics of an individual Categorical variable – places individual into one of several groups Quantitative variable – numerical value describing an individual
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Example A sample of cars was taken from those parked in the student parking lot. The following characteristics were recorded for each car: Model, mileage on odometer, color, length of wheelbase, age, and gender of the owner What are the individuals in this data set? b) Which variables are categorical and which are quantitative?
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Example A Gallup Poll in 2016 asked 1015 adults the following question: “What do you think is the best long-term investment?” The table below lists the proportion of adults that chose each category. Bonds 0.07 Real Estate 0.35 Gold 0.17 Savings 0.15 Other 0.04 Stocks & Mutual Funds 0.22 1) Use the data to make a bar graph, arranged from largest to smallest percentage. 2) Could you make a pie chart with this data? Why or why not?
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