STATISTICS

Course Credits: 3 Units

Prerequisites: None

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STAT 104 - Descriptive Statistics

Course Description

Topics to be discussed in this course include: Statistics, statistical measurement, statistical notations; collection, organization and presentation of data; measures of central tendency, location, dispersion,skewness, kurtosis; letter values, boxplots and stem-and-leaf display; measures of association and relationship; rates, ratios, and proportions; construction of index numbers and indicators.

Course Learning Outcomes

After completion of the course, the student should be able to:

  1. Familiarize with statistical terminologies;
  2. Understand basic concepts in data collection;
  3. Process and summarize the data in terms of location, spread, and other descriptive measures;
  4. Guard against misuses of statistics and recognize the recognize the importance of using the most appropriate measures and data presentation methods.
Course Outline

UNIT 0. Prelimenaries

  1. Introduction to the Course
  2. Misuses of Statistics

UNIT 1. Introduction

  1. Definition of Statistics
  2. The Nature of Statistics
  3. Origin and Brief History of Statistics
  4. Basic Concepts and Definitions
  5. Statistical Inquiry

UNIT 2. Variables and Measurement

  1. Basic Concepts and Definitions
  2. Classifications of Variables
  3. Levels of Measurement

UNIT 3. Collection of Statistical Data

  1. Kinds of Statistical Data
  2. Sources of Statistical Data
  3. Methods of Collecting Statistical Data
  4. Sampling and Sampling Techniques

UNIT 4. Organization of Statistical Data

  1. Array
  2. Frequency Distribution
  3. The Stem-and-Leaf Display

UNIT 5. Presentation of Data

  1. Textual Presentation
  2. Tabular Presentation
    1. One-Way Table
    2. Two-Way Table
  3. Graphical Presentation

UNIT 6. Measures of Central Tendency and Location

  1. Rounding off Numbers and Significant Figures
  2. Summation Notation and Symbols
  3. Measures of Central Tendency or Central Location
    1. The Arithmetic Mean
    2. The Median
    3. The Mode
  4. Other Measures of Location
    1. Quartiles
    2. Deciles
    3. Percentiles

UNIT 7. Measures of Dispersion

  1. Measures of Absolute Dispersion
  2. Measures of Relative Dispersion

UNIT 8. Measures of Skewness and Kurtosis

  1. Measures of Skewness
  2. Measures of Kurtosis

UNIT 9. Data Comparison

  1. Boxplots

UNIT 10. Ratios, Proportions, Rates, and Percentages

  1. Definitions and Concepts
  2. Ratios
  3. Proportions
  4. Rates
  5. Percentages

UNIT 11. Index Numbers

  1. Meaning and Uses of Index Numbers
  2. Problems in Constructing Index Numbers
  3. Types of Index Numbers

UNIT 12. Measures of Association and Correlation

  1. Measures of Association for Nominal Variables
  2. Measures of Association for Ordinal Variables
  3. Measures of Association for Interval and Ratio Variables