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Khan Academy MTH 1210

This website shows Khan Academy links for most topics in MTH 1210.

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Section 1.1: Statistics Basics
TopicVideosPractice Problems
Descriptive vs inferential statistics    
Population vs sample    
Observational studies vs designed experiments    

 

Section 1.2: Simple Random Sampling
TopicVideosPractice Problems
Simple random sampling Reasonable samples  
Random-number tables    

 

Section 1.3: Other Sampling Designs
TopicVideosPractice Problems
Systematic random sampling    
Cluster sampling    
Stratified sampling with proportional allocation    
Horizontal and vertical lines    

 

Section 1.4: Experimental Designs
TopicVideosPractice Problems
Principles of experimental design    
Completely randomized design    
Randomized block design    
Section 2.1: Variables and Data
TopicVideosPractice Problems
Types of variables    
Types of data    

 

Section 2.2: Organizing Qualitative Data
TopicVideosPractice Problems
Frequency distributions    
Relative frequency distributions Two-way relative frequency tables  
Pie charts Reading pie charts  
Bar charts Creating bar charts  

 

Section 2.3: Organizing Quantitative Data
TopicVideosPractice Problems
Single-value grouping (frequency distributions) Frequency tables and dot plots Creating frequency tables
Limit grouping (frequency distributions) Histograms  
Histograms Histograms Creating histograms
Dotplots Frequency tables and dot plots
Stem-and-leaf diagrams Stem-and-leaf plots  

 

Section 2.4: Distribution Shapes
TopicVideosPractice Problems
Modality    
Symmetry Shapes of distributions Shapes of distrubutions practice
Skewness Shapes of distributions  
Population and sample distributions    

 

Section 2.5: Misleading Graphs
TopicVideosPractice Problems
Truncated graphs    
Improper scaling    

 

Section 3.1: Measures of Center
TopicVideosPractice Problems
Measures of central tendency Statistics intro  
Mean, median, mode Finding mean, median, and mode Mean, median, and mode practice
Sample mean    

 

Section 3.2: Measures of Variation
TopicVideosPractice Problems
Range Range, variance, and standard deviation  
Sum of squared deviations    
Sample variance Sample variance Variance
Sample standard deviation Sample standard deviation and bias Standard deviation

 

Section 3.3: Chebyshev's Rule and the Empirical Rule
TopicVideosPractice Problems
Chebyshev's rule    
The empirical rule The empirical rule Empirical rule practice

 

Section 3.4: The Five-Number Summary; Boxplots
TopicVideosPractice Problems
Quartiles   Interpreting quartiles
Interquartile range   Calculating interquartile range
The five-number summary Constructing a box and whisker plot  
Lower and upper limits, outliers    
Boxplots Constructing a box and whisker plot Creating box and whisker plots

 

Section 3.5: Descriptive Measures for Populations; Use of Samples
TopicVideosPractice Problems
Population mean Finding mean, median, and mode Constructing linear and exponential functions
Population standard deviation Population standard deviation 
Standardized variable (z-score) z-score  

 

Section 4.1: Probability Basics
TopicVideosPractice Problems
Probability for equally likely outcomes Probability explained  
Basic properties of probabilities    

 

Section 4.2: Events
TopicVideosPractice Problems
Sample space and event

At least, at most, and inclusive

   
Mutually exclusive events  

 

Section 4.3: Some Rules of Probability
TopicVideosPractice Problems
The special addition rule (for mutually exclusive events) Addition rule for probability  
The complementation rule    
The general addition rule Addition rule for probability Adding probabilty

 

Section 4.4: Contingency Tables; Joint and Marginal Probabilities
TopicVideosPractice Problems
Joint and marginal probabilities    

 

Section 4.5: Conditional Probability
TopicVideosPractice Problems
Conditional probability Dependent probability intro  
The conditional probability rule Calculating conditional probability   

 

Section 4.6: The Multiplication Rule; Independence
TopicVideosPractice Problems
The general multiplication rule Dependent probability example Dependent probability practice
Independent events Identifying dependent and independent events
The special multiplication rule  Independent probability

 

Section 5.1: Discrete Random Variables and Probability Distributions
TopicVideosPractice Problems
Random variable Random variables  
Discrete random variable Discrete and continuous random variables  
Probability distributions Constructing a probability distribution for a random variable  Constructing probability distributions

 

Section 5.2: The Mean and Standard Deviation of a Discrete Random Variable
TopicVideosPractice Problems
Mean of a random variable   Expected value
Standard deviation of a random variable    

 

Section 5.3: The Binomial Distribution
TopicVideosPractice Problems
Binomial coefficients Combination formula Combinations
Binomial probability formula Probability of making 2 shots in 6 attempts   
Mean and standard deviation of a binomial random variable Expected value of binomial distribution  

 

Section 6.1: Introducing Normally Distributed Variables
TopicVideosPractice Problems
Basic properties of density curves Probability density functions  
Normally distributed variables Intro to the normal distribution  
Standardized normally distributed variables Normal distribution: z-score  

 

Section 6.2: Areas Under the Standard Normal Curve
TopicVideosPractice Problems
Area to the left of a z-score   z-scores 2
Area to the right of a z-score More empirical rule and z-score practice  
Area between two z-scores   z-scores 3 
Finding the z-score for a specified area    

 

Section 6.3: Working with Normally Distributed Variables
TopicVideosPractice Problems
The empirical rule Normal distribution problems: empirical rule Empirical rule practice
Obtaining percentiles for a normally distributed variable   z-scores 2 

 

Section 7.1: Sampling Error; the Need for Sampling Distributions
TopicVideosPractice Problems
Sampling distribution of the sample mean Sampling distribution of the sample mean  
Sample size and sampling error    

 

Section 7.2: The Mean and Standard Deviation of the Sample Mean
TopicVideosPractice Problems
Mean of the sample mean Sampling distribution of the sample mean  
Standard deviation of the sample mean  

 

Section 7.3: The Sampling Distribution of the Sample Mean
TopicVideosPractice Problems
Sampling distribution of the sample mean  
Central limit theorem Central limit theorem  

 

Section 8.1: Estmating a Population Mean
TopicVideosPractice Problems
Confidence intervals  
Margin of error    

 

Section 8.2: Confidence Intervals for One Population Mean when σ is Known
TopicVideosPractice Problems
One-mean z-interval procedure    
Confidence and accuracy    
Sample size and accuracy    

 

Section 8.3: Confidence Intervals for One Population Mean when σ is Unknown
TopicVideosPractice Problems
t-distributions and t-curves Small sample size confidence intervals  
One-mean t-interval procedure    

 

Section 9.1: The Nature of Hypothesis Testing
TopicVideosPractice Problems
Null and alternative hypotheses Hypothesis testing and p-values  
Type I and type II errors Type I error   
Significance level    

 

Section 9.2: Critical-Value Approach to Hypothesis Testing
TopicVideosPractice Problems
Obtaining critical values z-statistics vs t-statistics  
Steps in the critical-value approach to hypothesis testing  

 

Section 9.3: P-value Approach to Hypothesis Testing
TopicVideosPractice Problems
Determining the p-value for a one-mean z-test    
Steps in the p-value approach to hypothesis testing    

 

 

Section 9.4: Hypothesis Tests for One Population Mean when σ is Known
TopicVideosPractice Problems
The one-mean z-test Large sample proportion hypothesis testing  
Statistical significance    

 

Section 9.5: Hypothesis Tests for One Population Mean when σ is Unknown
TopicVideosPractice Problems
The one-mean t-test Small sample hypothesis test  

 

Section 10.1: The Sampling Distribution of the Difference Between Two Sample Means for Independent Samples
TopicVideosPractice Problems
Independent random samples Variance of differences of random variables  
The sampling distribution of the difference beween two sample means for independent samples Difference of sample means distribution  

 

Section 10.2: Inferences for Two Population Means, Using Independent Samples; Standard Deviations Assumed Equal
TopicVideosPractice Problems
Hypothesis test for the means of two populations with equal standard deviations    
The pooled t-test    
Confidence intervals for the difference between the means of two populations with equal standard deviations    

 

Section 10.3: Inferences for Two Population Means, Using Independent Samples; Standard Deviations Not Assumed Equal
TopicVideosPractice Problems
Hypothesis test for the means of two populations, using independent samples Hypothesis test for difference of means  
Nonpooled t-test    
The nonpooled t-interval procedure    

 

 

Section 10.5: Inferences for Two Population Means, Using Paired Samples
TopicVideosPractice Problems
Introducing random paired samples    
Comparing two means using a paired sample    
The paired t-statistic    
Hypothesis test for the means of two populations, using paired samples    
The paired t-interval procedure    

 

Section 12.1: Confidence Intervals for One Population Proportion
TopicVideosPractice Problems
The sampling distribution of the sample proportion    
The one proportion z-interval procedure Confidence interval example  
Determining sample size    

 

Section 12.2: Hypothesis Test for One Population Proportion
TopicVideosPractice Problems
One-proportion z-test Large sample proportion hypothesis testing  

 

Section 12.3: Inferences for Two Population Proportions
TopicVideosPractice Problems
The smapling distribution of the difference between two sample proportions for independent samples  
The two proportions z-test Hypothesis test comparing population proportions  
The two proportions z-interval Comparing population proportions 2  

 

Section 14.1: Linear Equations with One Independent Variable
TopicVideosPractice Problems
Linear equations    
Y-intercept and slope Constructing linear equations in slope-intercept form Line graph intuition

 

Section 14.2: The Regression Equation
TopicVideosPractice Problems
Scatterplots Constructing scatterplots Constructing scatterplots practice
Least-squares criterion    
The regression equation  

 

Section 14.3: The Coefficient of Determination
TopicVideosPractice Problems
The coefficient of determination Coefficient of determination  
Regression identity    

 

 

Section 14.4 Linear Correlation
TopicVideosPractice Problems
The linear correlation coefficient    
Relationship between the correlation coefficient and the coefficient of determination    
Correlation and causation Correlation and causality  

 

Section 15.1: The Regression Model; Analysis of Residuals
TopicVideosPractice Problems
The regression model    
Assumptions for regression inferences    
Estimating the regression parameters    
Standard error of the estimate    
Analysis of residuals    

  

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