Statistics and Risk Management

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  • Copyright Texas Education Agency, 2012. All rights reserved. 1

    Statistics and Risk Management Describing Data

    Performance Objective: After completing this lesson, the student will understand the importance and demonstrate competencies of being able to chart and describe collected data using basic charting and statistical methodologies.

    Approximate Time: When taught as written, this lesson should take 8-10 days to complete.

    Specific Objectives:

    The student will discuss the importance of visual presentations.

    The student will see and understand the basic types of charting and graphs used

    The student will explain what is the appropriate chart for a collected set of data

    The student will understand the importance of chart and graph indices.

    The student will understand some basic terms and concepts of statistics.

    The student will be able to identify basic descriptive values relating to data lists.

    The student will be able to calculate and compute Measures of Central Tendencies relating to data lists.

    The student will be able to understand and compute variances and standard deviations relating to data lists

    This lesson corresponds with Unit 5 of the Statistics and Risk

    Management Scope and Sequence.

  • Copyright Texas Education Agency, 2012. All rights reserved. 2

    TEKS Correlations: This lesson, as published, correlates to the following TEKS for Describing Data. Any changes/alterations to the activities may result in the elimination of any or all of the TEKS listed. 130.169 (c)(6)(E) analyze data presented in frequency distributions, histograms, and ogives 130.169 (c)(6)(F) construct and use descriptive indices 130.169 (c)(6)(C) generate a spreadsheet to collect, collate, organize, and analyze quantitative data 130.169 (c)(6)(D) use spreadsheets and graphical techniques to present data in a manner that is understood by and meaningful to colleagues and clients InterdisciplinaryTEKS: English: 110.31 (C) (21) (B) organize information gathered from multiple sources to create a variety of graphics and forms (e.g., notes, learning logs) 110.31 (C) (22) (B) evaluate the relevance of information to the topic and determine the reliability, validity, and accuracy of sources (including Internet sources) by examining their authority and objectivity 110.31 (C) (23) (C) use graphics and illustrations to help explain concepts where appropriate

  • Copyright Texas Education Agency, 2012. All rights reserved. 3

    110.31 (C) (23) (D) use a variety of evaluative tools (e.g., self-made rubrics, peer reviews, teacher and expert evaluations) to examine the quality of the research

    Math: 111.36 (C) (4) (A) compare theoretical and empirical probability; 111.37. (C) (3) (B) use probabilities to make and justify decisions about risks in everyday life

    Occupational Correlation (O*Net - http://www.onetonline.org/)

    Precision Agriculture Technician 19-4099.02 Similar Job Titles: Crop Specialist, Nutrient Management Specialist, Precision Agriculture Department Manager, Precision Agronomist, Precision Farming Coordinator Tasks:

    Collect information about soil or field attributes, yield data, or field boundaries, using field data recorders and basic geographic information systems (GIS).

    Create, layer, and analyze maps showing precision agricultural data, such as crop yields, soil characteristics, input applications, terrain, drainage patterns, or field management history.

    Document and maintain records of precision agriculture information.

    (Soft) Skills: Active Listening; Critical Thinking; Speaking; Problem Solving

    http://www.onetonline.org/

  • Copyright Texas Education Agency, 2012. All rights reserved. 4

    Instructional Aids: 1. Display for presentation, websites for assignments and class

    discussion 2. Assignment Worksheets 3. Supporting Spreadsheets

    Materials Needed: 1. Printer paper 2. Assignments and website information ready to distribute to

    students.

    Student projects will be displayed to increase interest in Statistics

    Equipment Needed: 1. Computer with presentation and Internet Access 2. Computers for Students to Conduct Research and Collect Data

    for Projects

  • Copyright Texas Education Agency, 2012. All rights reserved. 5

    References: Statistics By the Numbers

    Statistics By the Numbers features information about statistics and the how

    they are calculated. A sample math problem defines and walks through the

    steps for determining mean, medium, mode, range, and standard deviation.

    http://faculty.washington.edu/chudler/statistics.html

    Khan Academy: Statistics

    Kahn Academys Statistics page offers a wide variety of instructional videos for

    various statistics lessons. Some of these video lessons include: Mean Median

    and Mode, Range and MidRange, Reading Pictographs, Reading Bar Graphs,

    Reading Line Graphs, reading Pie Graphs, and more.

    http://www.khanacademy.org/math/statistics

    The University of Sheffield

    (MASH) Mathematics and statistics help, including videos and problems to

    solve.

    http://www.mash.dept.shef.ac.uk/VarianceandStandardDeviation.html

    Ogive

    Use arthitecture to explain the ogive curve.

    http://curvebank.calstatela.edu/ogive82/ogive82.htm

    http://faculty.washington.edu/chudler/statistics.htmlhttp://faculty.washington.edu/chudler/statistics.htmlhttp://www.khanacademy.org/math/statisticshttp://www.khanacademy.org/math/statisticshttp://www.shef.ac.uk/http://www.mash.dept.shef.ac.uk/VarianceandStandardDeviation.htmlhttp://math.tutorvista.com/statistics/ogive.html

  • Copyright Texas Education Agency, 2012. All rights reserved. 6

    Teacher Preparation: Teacher will:

    1. Review terms in outline, presentation, and handouts.

    2. Locate and evaluate various resources and websites.

    3. Have assignments and websites ready.

    Learner Preparation: Break the boring barrier. Statistics can be fun and definitely

    interesting. Find examples the student might find interesting;

    candidate polling, drug testing results, exam grades, and wages

    for various careers.

    Introduction: STUDENTS will watch the Unit video found here: Introduction

    http://jukebox.esc13.net/untdeveloper/Videos/Introduction.mov

    Describing Data http://jukebox.esc13.net/untdeveloper/Videos/Describing%20Data.mov

    STUDENTS will take the practice test and review using the Key, found in Common/Student Documents. EXHIBIT: Excitement for Statistics and Learning

    INTRODUCE: Statistics afford an opinion some credence and can turn an opinion into accepted knowledge.

    ASK: Ask students to express some opinions on a

    wide range of topics and then challenge them to prove their opinion.

    http://jukebox.esc13.net/untdeveloper/Videos/Introduction.movhttp://jukebox.esc13.net/untdeveloper/Videos/Describing%20Data.mov

  • Copyright Texas Education Agency, 2012. All rights reserved. 7

    I. The Visual Advantage A. Easier to make

    comparisons. B. Easier to draw conclusions C. A picture is worth a 1000

    words. II. Been Around for a While III. Pie Charting

    A. Great for Small Number of Groups with Large Variances.

    IV. Histogram Charting A. Better when Time is

    involved. B. Data is Grouped and placed

    along an Axis representing Time.

    V. Scatter Charting A. Used to look for

    relationships between two Variables or potential Clustering

    B. Good for seeing a Correlation or Cluster.

    C. Ogive Charting D. Utilizes a line to connect

    data. E. When used correctly it can

    predict values between and beyond.

    VI. Descriptive Indices A. Indices are used to Identify

    Groups in Comparison Studies.

    VII. Descriptive Scales A. Nominal B. Ordinal C. Interval D. Ratio

    Use presentation

    DescribingData_Visually.pttx

  • Copyright Texas Education Agency, 2012. All rights reserved. 8

    Provide Assignment sheets and discuss

    and answer any questions about

    assignment (In class or take home-

    Instructors Option)

    VIII. Tool of Knowledge

    A. Statistics: The study of collecting, organizing, and analyzing data.

    1. For Research 2. For Reporting

    B. Research Statistics? C. Descriptive Statistics:

    Procedures used to organize and present data in a convenient and communicable form.

    D. Inferential Statistics: Procedures employed arrive at broader conclusions or inferences about populations on the basis of samples.

    IX. When did this come about? A. We find Statistical

    Information (State of Things) in 1749.

    B. By the 18th century, the term "statistics" designated the systematic collection of demographic and economic data by states.

    C. In the early 19th century, the meaning of "statistics" broadened, then including the discipline concerned with the collection, summary, and analysis of data.

    Provided .docx files

    3.1a

    DescribingData_Visually

    3.1b

    DescribingData_Visually

    Use presentation

    DescribingData_Statistically.pttx

    http://en.wikipedia.org/wiki/Statisticshttp://en.wikipedia.org/wiki/Official_statisticshttp://en.wikipedia.org/wiki/Demographichttp://en.wikipedia.org/wiki/Economics

  • Copyright Texas Education Agency, 2012. All rights reserved. 9

    Data Types E. Qualitative Data F. Quantitative Data

    1. Discrete data 2. Continuous data

    Sample Measurements A. Count: Number of Sores B. Range/Low/High: The

    Extreme Values