Syllabus

Statistics and Probability

Quarter 1

Completed by   MA Common Core Standard
September Basic terms and definitions

Graphical Statistics

  • Frequency distributions
  • Relative Frequency Distributions
  • Histograms
  • Dot plots
  • Stem-and-Leaf Displays
  • Bar Charts
  • Pie Charts

 

S.ID.1

S.ID.2

October/November  Single-Variable Data

  • Measures of central tendency
  1. Mean
  2. Weighted mean
  3. Median
  4. Mode
  5. Range
  • Measures of dispersion
  1. Standard deviation
  2. Variance
  3. Empirical Rule

QUARTERLY EXAM

S.ID.3

S.ID.4

 

 

 

 

 

 

Quarter 2

Completed by   MA Common Core Standard

November

Measures of position

  • Z-scores
  • Percentiles
  • Boxplots
  1. IQR
  2. Outliers
  3. Comparing two different data sets

Statistical deception

 

S.ID.1

S.ID.2

December

Bivariate Data

  • Data comparison
  1. Scatterplots
  2. Associations and trends (linear, quadratic, etc)
  3. residuals
  • Linear correlation/regression
  1. Interpret the slope and intercept in the context of the data

 

                       

S.ID.2

S.ID.5

S.ID.6

S.ID.7

S.ID.8

S.ID.9

January

Bivariate Data

  • Linear correlation/regression (continued)
  1. Interpret the correlation coefficient
  2. Distinguish between correlation and causation

 

MIDTERM EXAM

S.ID.7

S.ID.8

S.ID.9

 

 

 

 

 

 

 

Quarter 3

Completed by

 

MA Common Core Standard

February

Probability

  • Simple probabilities
  • Compound probabilities
  1. Combinations and permutations
  • Combining rules of probabilities
  1. Addition Rule
  2. Multiplication Rule
  3. Conditional Probabilities

     

S.CP.1

S.CP.2

S.CP.3

S.CP.5

S.CP.6

S.CP.7

S.CP.8

S.CP.9

March

Probability Distributions

  • Discrete random variable distributions
  1. Calculate the expected value of a random variable
  2. Construct two-way frequency tables
  3. Develop probability distributions using theoretical  and empirical methods and find expected values

Normal Probability Distributions

  • Normal probability distribution
  • Applications of normal distributions

 

QUARTERLY EXAM

S.MD.1

S.MD.2

S.MD.3

S.MD.4

S.CP.4

S.ID.4

 

 

 

 

 

 

 

Quarter 4

Completed by

 

MA Common Core Standard

April

Sample Variability

  • Sampling distributions
  1. Random Sampling
  • Central Limit Theorem
  • Application of the Central Limit Theorem

 

S.MD.5

S.MD.6

S.MD.7

May

 Introduction to Statistical Inferences

  • Inferences Involving One Population
  • Inferences Involving Two Populations
  • Analysis of Variance

 

S.IC.1

S.IC.2

S.IC.3

S.IC.4

S.IC.5

S.IC.6

 

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