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Lone Star College System, Woodlands *

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1342

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Mathematics

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Jun 26, 2024

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docx

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Math 1342 Dr. Tarcia Hubert Name: ___Eytravia Franklin______ Section 1.1 – Introduction to the Practice of Statistics “Nothing is impossible. The word itself says I’m possible!” ~Audrey Hepburn Video 1: Introduction to Statistics What is statistics? Statistics is the science of collecting, organizing, summarizing, and analizing data to answer questions. Example: A community college notices that an increasing number of full-time students are working while attending the school. The administration randomly selects 128 students and asks how many hours per week each works. The average number of hours the 128 students worked was 25 hours. Key Terms: Data: The information collected; Information used to describe the charachteristics of an individual. Ex: Amount of hours per week each student worked Population: The entire group of individuals to be studied Ex: Full time students Individual: A member or object of the population being studied Ex: Full-time students Sample: A subset of the population being studied Ex: 128 students
Math 1342 Dr. Tarcia Hubert Name: ___Eytravia Franklin______ Statistic: A numerical summary based on a sample Ex: 25 hours Inferential Statistic: Uses methods that take results from a sample, extends them to the population, and measures the reliability of the results. Descriptive Statistic: Consists of organizing and summarizing data Typically uses numerical summaries, tables, and graphs to describe the data. Parameter: A numerical summary of a population Ex: Ask full-time students how many hours they work a week and then take the average of these hours. The average number of hours would be the parameter. Example 1: Determine whether the underlined value is a parameter or statistic? a) The average score for a class of 30 students taking a final exam was 75% . Parameter b) 13.5% of Americans age 12 and over used drugs in the last month. Statistic Video 2: Quantitative vs. Qualitative Data Variables: The characteristics of the individuals within the population Variables change ! Qualitative Variables: Aka categorical variables Allow for classification of individuals based on some attribute or characteristic. Ex: Educational level, gender, marital status, name, id number, etc.
Math 1342 Dr. Tarcia Hubert Name: ___Eytravia Franklin______ Quantitative Variables: Provide numerical measures of individuals. Values can be added or subtracted and provide meaningful results. Ex: GPA, bank account balance, salaries, # of followers, etc. Example 1: Determine whether the following variables are qualitative or quantitative? a) Gender Qualitative b) Temperature Quantitative c) Number of days a student studied Quantitative d) Zip code Qualitative Discrete vs Continuous Variables Discrete Variables : A quantitative variable that has either a finite number of possible values or a countable number of possible values. If you count to get the value of a quantitative variable, then it’s discrete.
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