STAT 515 -- EXAM 1 REVIEW SHEET (updated 2/4/05)

I.  Basic Fundamentals and Definitions
 A.  Basic Terms
  1.  Descriptive and Inferential Statistics
  2.  Individuals, Variables, Data
  3.  Population vs. Sample, Parameters vs. Statistics
  4.  Observational Study, Experiment, Survey, Published Source
 B.  Types of Variables
  1.  Categorical (Qualitative)
  2.  Numerical (Quantitative)

II. Descriptive Statistical Methods for Univariate Data
 A.  Graphs and Plots
   1. Pie chart, Bar graph
   2. Dotplot, Stem-and-Leaf Plot, Frequency Distributions, Histograms
   3. Interpreting Shapes of Histograms
   4.  Possible Advantages and Disadvantages of the Graphical Methods
 B.  (Numerical) Summary Statistics
   1. Measures of Central Tendency
     a. Sample Mean, Median, Mode
     b. Know how to calculate for small data sets
     c. Advantages/disadvantages for the different statistics
   2. Measures of Variability (Spread)
     a.  Why are they important?
     b.  Sample Variance, Standard Deviation, Range, IQR
     c.  Know Definitions for Each
     d.  Possible advantages/disadvantages
   3. Measures of Relative Standing
     a.  5-Number Summary; Percentiles
     b.  Box Plot and Interpreting It
   4. Standard (z) scores for Data
     a.  Interpretions of Z-scores
   5. Shapes of Distributions
     a. Symmetric, Skewed, Bimodal
     b. Assessing whether a distribution might be normal
  C. Empirical Rule and Chebyshev's Rule
   1.  What can we conclude for them?
   2.  When does each one apply?


III.  Introduction to Probability
  A. Key Terms
   1. Experiment
   2. Outcome
   3. Sample Space (and Sample Points)
   4. Event
  B. Two Major Probability Properties
  C. Compound Event
   1. Unions and Intersections
   2. Understanding the meaning of each compound event
   3. Venn Diagrams
   4. Additive Rule
   5. Mutually exclusive events
   6. Conditional Probability
   7. Independent Events
      a. Intuitive definition of independent events
      b. Mathematical definition of independent events
   8. Multiplicative Rule
  D. Complement of an Event
  E. Importance of Random Sampling