### 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
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

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

Section 3.5: Descriptive Measures for Populations; Use of Samples
TopicVideosPractice Problems
Population mean Finding mean, median, and mode
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

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 ? 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 ? 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 ? 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 ? 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

Section 14.2: The Regression Equation
TopicVideosPractice Problems
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