Download Curriculum Map

Statistics Course Outline
TIME FRAME
UNIT
2 weeks
The Nature of
Probability and
Statistics
2 weeks
1 week
Frequency
Distributions and
Graphs
Measures of
Central Tendency
1 week
Measures of
Variation
1 week
Measures of
Position
1.
2.
3.
4.
5.
1.
2.
3.
1.
1.
2.
3.
4.
5.
1.
1.
2 weeks
Probability
2 weeks
Counting Rules
3 weeks
Discrete
Probability
Distributions
4 weeks
The Normal
Distribution
2.
3.
1.
2.
3.
4.
5.
1.
2.
3.
4.
5.
1.
2.
3.
4.
5.
ESSENTIAL SKILLS
Descriptive and Inferential Statistics
Variables and types of data
Data collection and sampling techniques
Observational and experimental studies
Uses and misuses of statistics
Organizing data
Histograms, frequency polygons, and ogives
Other types of graphs
Mean, median, mode, midrange, weighted
mean, distribution shapes.
Range, variance, standard deviation
Coefficient of variation
Range rule of thumb
Chebyshev’s Theorem
The Empirical (Normal) Rule
Standard scores, percentiles, quartiles and
deciles, outliers.
Sample spaces, classical probability,
complementary evens, Empirical probability,
law of large numbers, subjective probability
Addition rules for probability
Multiplication rules and conditional
probability
The fundamental counting principal
Fractorial notation
Permutations
Combinations
Probability and counting rules
Probability distributions
Mean, variance, standard deviation, and
expectation
Binomial distribution
Multinomial distribution
Poisson Distribution
Properties of a normal distribution
The standard normal distribution
Applications o the normal distribution
The central limit theorem
The normal approximation to the binomial
distribution
TIME FRAME
UNIT
1.
4 weeks
Confidence
Intervals and
Sample Size
2.
3.
4.
4 weeks
4 weeks
Hypothesis
Testing
Correlation and
Regression
1.
2.
3.
4.
5.
6.
1.
2.
3.
4.
5.
ESSENTIAL SKILLS
Confidence intervals for the mean (standard
deviation known or n >= 30)and sample size
Confidence intervals for the mean (standard
deviation unknown and n <30)
Confidence intervals and sample size for
proportions
Confidence intervals for variance and
standard deviations
Steps in hypothesis testing
z test for a mean
P-value method for hypothesis testing
t test for a mean
z test for a proportion
chi squared test for variance and standard
deviation
scatter plots
correlation
correlation coefficient
the significance of the correlation coefficient
correlation and causation