Exam topics

General recommendations:

Exam 1 review

Probability

  • sample space (outcomes and events)
    • systematic list
    • tree diagram
    • grid/area
  • experimental vs theoretical
  • (# desired outcomes) / (total # outcomes)
  • law of large numbers
  • fundamental counting principle
  • randomizers: dice, spinners, objects in bags, …
  • independent events (e.g., with replacement)
  • dependent events (e.g., without replacement)

Expected value: value × probability

Conditional probability

  • two-way frequency tables
  • P(A | B) = probability of A given B
dice
linear

Functions

  • linear vs. non-linear
  • constant rate of change
  • finite differences for quadratic functions

Equation solving

  • strip diagrams
  • algebra
  • interpreting word problems
Exam 2 review

Representations

  • dot plots
  • pie charts
  • stem and leaf
  • bar graphs
  • histograms
  • line charts
  • scatterplots

Summaries

  • 5-number summary
  • box and whiskers (aka. box plots)

Measures of center

  • (arithmetic) mean definition
  • (arithmetic) mean using "leveling"
  • median
  • mode
scatterplot

Measures of spread

  • interquartile range (IQR)
  • mean absolute deviation (MAD)
  • variance (σ2)
  • standard deviation (σ)

Miscellaneous

  • comparisons using box plots
  • outliers using IQR
  • normal curve with 68-95-99.7 rule
  • standard scores (aka. z-scores)
  • compute and interpret quartile-quartile line
  • linear formats: point-slope, slope-intercept, general