Test I Review Sheet for
Colorado State University, Pueblo
Math 156 — Introduction to Statistics — Spring 2015

Definitions

Terms you should know -- be able to state clearly what they mean, recognize them in examples, and create your own examples of them
  1. individuals
  2. [Random] variable [RV]
  3. categorical or quantitative RV
  4. distribution
  5. pie chart
  6. bar graph
  7. histogram
  8. stem plot
  9. qualitative description of a distribution:
    1. shape,
    2. center, and
    3. spread
  10. outliers
  11. quantitative measures of center and spread:
    1. mean $\bar{x}$ and median (and mode)
    2. quartiles $Q_1$ and $Q_3$
    3. variance $s^2$, standard deviation $s$, IQR, and range
    4. NOTE: on the TI calculators, the standard deviation is displayed in 1-Var Stats as SX.
    5. sensitivity of the above to outliers
  12. the five number summary
  13. boxplots (=box-and-whisker plots)
  14. the 1.5 IQR rule for outliers
  15. density curves
  16. the Normal distribution: shape, symmetry
  17. center $\mu$ of the Normal distribution
  18. "width" $\sigma$ of the Normal distribution -- how to see it on the curve
  19. the 68-95-99.7 Rule
  20. standardizing a Normal RV (and doing this backwards if necessary)
  21. scatterplots, explanatory variable, and response variable
  22. the direction, form, and strength of a relationship in a scatterplot
  23. scatterplot outliers
  24. the correlation coefficient $r$, properties
  25. the [least squares] regression line
  26. for a line: slope, $y$-intercept
  27. interpretation of $r^2$
  28. residuals
  29. extrapolation
  30. lurking variables
  31. words to live by: "Correlation does not imply causation"
  32. ecological correlation

Things to know how to do

  1. given some data:
    1. make any of the graphs mentioned above, by hand or with help from your calculator
    2. compute any of the quantitative statistical measures above, by hand or with help from your calculator
    3. interpret/apply any of the above qualitative terms for the given data
  2. know the strengths and weaknesses of the various graphical and quantitative statistical measures above, and chose the appropriate one in a particular situation
  3. use your calculator appropriately!

Format of the test

There will be several problems from the material corresponding to each chapter we've done in the textbook, of a level of difficulty and wording similar to the problems which you have done for homework and quizzes. The total points for the test will be more than 100, you can choose which 100 points you want to do out of the available problems.

Don't forget your calculator, you will need it!