Math: High school & college
Ages 14-18
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APยฎ๏ธ/College Statistics
Learn a powerful collection of methods for working with data! APยฎ Statistics is all about formulating questions, collecting and analyzing data, and interpreting results from data.
19 units
118 lessons
181 videos
5 on CDN
First 3 lessons are free
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Unit 2 Exploring one-variable data and collecting data
1
Introducing statistics: what can we learn from data?
Free
2
Variables
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4
Tabular representation and summary statistics for one categorical variable
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5
Graphical representations for one categorical variable
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7
Graphical representations for one quantitative variable
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9
Descriptions for one quantitative variable distributions
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11
Summary statistics for one quantitative variable distributions
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13
Graphical representations of summary statistics for one quantitative variable
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15
Comparisons of the distributions for one quantitative variable
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17
The investigative question revisited and data collection
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19
Random sampling
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20
Potential problems with sampling
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22
Experimental design
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10
Regression analysis: Unit test
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Unit 3 Probability, random variables, and probability distributions
1
Tabular and graphical representations for the distributions
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3
Summary statistics for two categorical variables
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5
Estimating probabilities using simulation
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6
Introduction to probability
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8
Mutually exclusive events
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9
Conditional probability
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10
Independent events and unions of events
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12
Introduction to random variables and probability distributions
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14
Parameters of random variables
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16
The binomial distribution
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18
The normal distribution
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20
Sampling distributions and the central limit theorem
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Unit 4 Inference for categorical data: proportions
1
Estimators
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3
Sampling distributions for sample proportions
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5
Constructing a confidence interval for a population proportion
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7
Setting up a test for a population proportion
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9
P-values
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10
Carrying out a test for a population proportion
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11
Potential errors when performing tests
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13
Sampling distributions for the difference between sample proportions
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15
Constructing a confidence interval for the difference between two population proportions
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17
Setting up a test for the difference between two population proportions
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18
Carrying out a test for the difference between two population proportions
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20
Setting up a chi-square test for homogeneity or independence
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21
Carrying out a chi-square test for homogeneity or independence
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Unit 5 Inference for quantitative data: means
1
Sampling distributions for sample means
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3
Constructing a confidence interval for a population mean or population mean difference
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5
Setting up a test for a population mean or population mean difference
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7
Carrying out a test for a population mean or population mean difference
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8
Sampling distributions for the difference between two sample means
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10
Constructing a confidence interval for the difference between two population means
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12
Setting up a test for the difference between two populations means
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13
Carrying out a test for the difference between two population means
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Unit 6 Regression analysis
Unit 7 Exploring categorical data
Unit 8 Exploring one-variable quantitative data: Displaying and describing
Unit 9 Exploring one-variable quantitative data: Summary statistics
Unit 10 Exploring one-variable quantitative data: Percentiles, z-scores, and the normal distribution
Unit 11 Exploring two-variable quantitative data
Unit 12 Collecting data
Unit 13 Probability
Unit 14 Random variables and probability distributions
1
Introduction to random variables and probability distributions
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2
Mean and standard deviation of random variables
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3
Transforming random variables
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Combining random variables
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5
Introduction to the binomial distribution
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6
Parameters for a binomial distribution
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The geometric distribution
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Unit 15 Sampling distributions
1
The normal distribution, revisited
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2
The central limit theorem
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3
Biased and unbiased point estimates
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4
Sampling distributions for sample proportions
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5
Sampling distributions for differences in sample proportions
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6
Sampling distributions for sample means
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7
Sampling distributions for differences in sample means
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Unit 16 Inference for categorical data: Proportions
1
Introduction to confidence intervals
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2
Confidence intervals for proportions
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3
The idea of significance tests
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4
Setting up a test for a population proportion
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5
Carrying out a test for a population proportion
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6
Concluding a test for a population proportion
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7
Potential errors when performing tests
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8
Confidence intervals for the difference of two proportions
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9
Testing for the difference of two population proportions
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