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
- Mean
- Weighted mean
- Median
- Mode
- Range
- Standard deviation
- Variance
- 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
- IQR
- Outliers
- Comparing two different data sets
Statistical deception
|
S.ID.1
S.ID.2
|
|
December
|
Bivariate Data
- Scatterplots
- Associations and trends (linear, quadratic, etc)
- residuals
- Linear correlation/regression
- 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)
- Interpret the correlation coefficient
- 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
- Combinations and permutations
- Combining rules of probabilities
- Addition Rule
- Multiplication Rule
- 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
- Calculate the expected value of a random variable
- Construct two-way frequency tables
- 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
- 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
|