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AP Statistics Topics

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1. Basic Concepts

1.1

Classification of data

1.2

Sampling methods

1.3

Census and bias

2. Data Representation

2.1

Frequency distribution and histograms

2.2

Frequency polygons

2.3

Shapes of distributions

3. Data Interpretation

3.1

Center of a data set: mean, median, mode

3.2

Spread of a data set - standard deviation & variance

3.3

Measures of relative standing - z-score, quartiles, percentiles

3.4

Bivariate, scatter plots and correlation

3.5

Regression analysis

3.6

Equation of the best fit line

4. Probability

4.1

Addition rule for

4.2

Multiplication rule for

4.3

Conditional probability

4.4

Probability with permutations and combinations

4.5

Law of total probability

4.6

Bayes' rule

5. Set Theory

5.1

Set notation

5.2

Set builder notation

5.3

Intersection and union of 2 sets

5.4

Intersection and union of 3 sets

6. Discrete Probabilities

6.1

Probability distribution - histogram, mean, variance & standard deviation

6.2

Binomial distribution

6.3

Mean and standard deviation of binomial distribution

6.4

Geometric distribution

6.5

Hypergeometric distribution

6.6

Properties of expectation

7. Normal Distribution and Z-Scores

7.1

Introduction to normal distribution

7.2

Normal distribution and continuous random variable

7.3

Z-scores and random continuous variables

7.4

Sampling distributions

7.5

Central limit theorem

7.6

Rare event rule

8. Confidence Intervals

8.1

Point estimates

8.2

Confidence levels and critical values

8.3

Margin of error

8.4

Making a confidence interval

8.5

Confidence intervals to estimate population mean

8.6

Student's t-distribution

8.7

Chi-Squared confidence intervals

9. Hypothesis Testing

9.1

Null hypothesis and alternative hypothesis

9.2

Proving claims

9.3

Confidence levels, significance levels and critical values

9.4

Test statistics

9.5

Traditional hypothesis testing

9.6

P-value hypothesis testing

9.7

Mean hypothesis testing with t-distribution

9.8

Type 1 and type 2 errors

9.9

Chi-square goodness of fit test

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