# Department of Mathematical and Computer Sciences

## Khan Academy MTH 1210

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

First find the chapter you want in the menu below.

Scroll down through each section to see some links to Khan Academy videos and practice problems for topics in this section.

##### TRY THEM OUT!

Topic | Videos | Practice Problems |
---|---|---|

Descriptive vs inferential statistics | ||

Population vs sample | ||

Observational studies vs designed experiments |

Topic | Videos | Practice Problems |
---|---|---|

Simple random sampling | Reasonable samples | |

Random-number tables |

Topic | Videos | Practice Problems |
---|---|---|

Systematic random sampling | ||

Cluster sampling | ||

Stratified sampling with proportional allocation | ||

Horizontal and vertical lines |

Topic | Videos | Practice Problems |
---|---|---|

Principles of experimental design | ||

Completely randomized design | ||

Randomized block design |

Topic | Videos | Practice Problems |
---|---|---|

Types of variables | ||

Types of data |

Topic | Videos | Practice Problems |
---|---|---|

Frequency distributions | ||

Relative frequency distributions | Two-way relative frequency tables | |

Pie charts | Reading pie charts | |

Bar charts | Creating bar charts |

Topic | Videos | Practice 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 |

Topic | Videos | Practice Problems |
---|---|---|

Modality | ||

Symmetry | Shapes of distributions | Shapes of distrubutions practice |

Skewness | Shapes of distributions | |

Population and sample distributions |

Topic | Videos | Practice Problems |
---|---|---|

Truncated graphs | ||

Improper scaling |

Topic | Videos | Practice Problems |
---|---|---|

Measures of central tendency | Statistics intro | |

Mean, median, mode | Finding mean, median, and mode | Mean, median, and mode practice |

Sample mean |

Topic | Videos | Practice 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 |

Topic | Videos | Practice Problems |
---|---|---|

Chebyshev's rule | ||

The empirical rule | The empirical rule | Empirical rule practice |

Topic | Videos | Practice 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 |

Topic | Videos | Practice 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 |

Topic | Videos | Practice Problems |
---|---|---|

Probability for equally likely outcomes | Probability explained | |

Basic properties of probabilities |

Topic | Videos | Practice Problems |
---|---|---|

Sample space and event | ||

At least, at most, and inclusive |
||

Mutually exclusive events |

Topic | Videos | Practice 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 |

Topic | Videos | Practice Problems |
---|---|---|

Joint and marginal probabilities |

Topic | Videos | Practice Problems |
---|---|---|

Conditional probability | Dependent probability intro | |

The conditional probability rule | Calculating conditional probability |

Topic | Videos | Practice Problems |
---|---|---|

The general multiplication rule | Dependent probability example | Dependent probability practice |

Independent events | Identifying dependent and independent events | |

The special multiplication rule | Independent probability |

Topic | Videos | Practice 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 |

Topic | Videos | Practice Problems |
---|---|---|

Mean of a random variable | Expected value | |

Standard deviation of a random variable |

Topic | Videos | Practice 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 |

Topic | Videos | Practice 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 |

Topic | Videos | Practice 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 |

Topic | Videos | Practice Problems |
---|---|---|

The empirical rule | Normal distribution problems: empirical rule | Empirical rule practice |

Obtaining percentiles for a normally distributed variable | z-scores 2 |

Topic | Videos | Practice Problems |
---|---|---|

Sampling distribution of the sample mean | Sampling distribution of the sample mean | |

Sample size and sampling error |

Topic | Videos | Practice Problems |
---|---|---|

Mean of the sample mean | Sampling distribution of the sample mean | |

Standard deviation of the sample mean |

Topic | Videos | Practice Problems |
---|---|---|

Sampling distribution of the sample mean | ||

Central limit theorem | Central limit theorem |

Topic | Videos | Practice Problems |
---|---|---|

Confidence intervals | ||

Margin of error |

Topic | Videos | Practice Problems |
---|---|---|

One-mean z-interval procedure | ||

Confidence and accuracy | ||

Sample size and accuracy |

Topic | Videos | Practice Problems |
---|---|---|

t-distributions and t-curves | Small sample size confidence intervals | |

One-mean t-interval procedure |

Topic | Videos | Practice Problems |
---|---|---|

Null and alternative hypotheses | Hypothesis testing and p-values | |

Type I and type II errors | Type I error | |

Significance level |

Topic | Videos | Practice Problems |
---|---|---|

Obtaining critical values | z-statistics vs t-statistics | |

Steps in the critical-value approach to hypothesis testing |

Topic | Videos | Practice Problems |
---|---|---|

Determining the p-value for a one-mean z-test | ||

Steps in the p-value approach to hypothesis testing |

Topic | Videos | Practice Problems |
---|---|---|

The one-mean z-test | Large sample proportion hypothesis testing | |

Statistical significance |

Topic | Videos | Practice Problems |
---|---|---|

The one-mean t-test | Small sample hypothesis test |

Topic | Videos | Practice 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 |

Topic | Videos | Practice 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 |

Topic | Videos | Practice 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 |

Topic | Videos | Practice 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 |

Topic | Videos | Practice Problems |
---|---|---|

The sampling distribution of the sample proportion | ||

The one proportion z-interval procedure | Confidence interval example | |

Determining sample size |

Topic | Videos | Practice Problems |
---|---|---|

One-proportion z-test | Large sample proportion hypothesis testing |

Topic | Videos | Practice 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 |

Topic | Videos | Practice Problems |
---|---|---|

Linear equations | ||

Y-intercept and slope | Constructing linear equations in slope-intercept form | Line graph intuition |

Topic | Videos | Practice Problems |
---|---|---|

Scatterplots | Constructing scatterplots | Constructing scatterplots practice |

Least-squares criterion | ||

The regression equation |

Topic | Videos | Practice Problems |
---|---|---|

The coefficient of determination | Coefficient of determination | |

Regression identity |

Topic | Videos | Practice Problems |
---|---|---|

The linear correlation coefficient | ||

Relationship between the correlation coefficient and the coefficient of determination | ||

Correlation and causation | Correlation and causality |

Topic | Videos | Practice Problems |
---|---|---|

The regression model | ||

Assumptions for regression inferences | ||

Estimating the regression parameters | ||

Standard error of the estimate | ||

Analysis of residuals |

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