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Statistics & Probability


  • 12:18 Difference of Sample Means Distribution

    Difference of Sample Means Distribution

    / 660 views

    Difference of Sample Means Distribution More free lessons at: http://www.khanacademy.org/video?v=TcIDXqmt74A

  • 10:47 Popular Variance of Differences of Random Variables

    Variance of Differences of Random Variables

    / 774 views

    Variance of Differences of Random Variables More free lessons at: http://www.khanacademy.org/video?v=rLdoKZ7w0xI

  • 14:31 Large Sample Proportion Hypothesis Testing

    Large Sample Proportion Hypothesis Testing

    / 665 views

    Large Sample Proportion Hypothesis Testing More free lessons at: http://www.khanacademy.org/video?v=1JT9oODsClE

  • 11:47 T-Statistic Confidence Interval

    T-Statistic Confidence Interval

    / 669 views

    T-Statistic Confidence Interval (for small sample sizes) More free lessons at: http://www.khanacademy.org/video?v=hV4pdjHCKuA

  • 09:04 Small Sample Hypothesis Test

    Small Sample Hypothesis Test

    / 666 views

    Small Sample Hypothesis Test More free lessons at: http://www.khanacademy.org/video?v=D2sMsmL0ScQ

  • 03:24 Popular Type 1 Errors

    Type 1 Errors

    / 740 views

    Type 1 Errors More free lessons at: http://www.khanacademy.org/video?v=EowIec7Y8HM

  • 06:40 Z-statistics vs. T-statistics

    Z-statistics vs. T-statistics

    / 621 views

    Z-statistics vs. T-statistics More free lessons at: http://www.khanacademy.org/video?v=5ABpqVSx33I

  • 06:34 One-Tailed and Two-Tailed Tests

    One-Tailed and Two-Tailed Tests

    / 619 views

    One-Tailed and Two-Tailed Tests More free lessons at: http://www.khanacademy.org/video?v=mvye6X_0upA

  • 11:27 Hypothesis Testing and P-values

    Hypothesis Testing and P-values

    / 559 views

    Hypothesis Testing and P-values More free lessons at: http://www.khanacademy.org/video?v=-FtlH4svqx4

  • 11:11 Popular Small Sample Size Confidence Intervals

    Small Sample Size Confidence Intervals

    / 722 views

    Constructing small sample size confidence intervals using t-distributions More free lessons at: http://www.khanacademy.org/video?v=K4KDLWENXm0

  • 18:36 Confidence Interval Example

    Confidence Interval Example

    / 598 views

    Confidence Interval Example More free lessons at: http://www.khanacademy.org/video?v=SeQeYVJZ2gE

  • 10:05 Margin of Error 2

    Margin of Error 2

    / 555 views

    Finding the 95% confidence interval for the proportion of a population voting for a candidate. More free lessons at: http://www.khanacademy.org/video?v=YclQE2XtaLw

  • 15:03 Margin of Error 1

    Margin of Error 1

    / 645 views

    Finding the 95% confidence interval for the proportion of a population voting for a candidate. More free lessons at: http://www.khanacademy.org/video?v=OwPSuHXmiPw

  • 06:59 Popular Bernoulli Distribution Mean and Variance Formulas

    Bernoulli Distribution Mean and Variance Formulas

    / 723 views

    Bernoulli Distribution Mean and Variance Formulas More free lessons at: http://www.khanacademy.org/video?v=ry81_iSHt6E

  • 08:20 Mean and Variance of Bernoulli Distribution Example

    Mean and Variance of Bernoulli Distribution Example

    / 672 views

    Mean and Variance of Bernoulli Distribution Example More free lessons at: http://www.khanacademy.org/video?v=O8vB1eInP_8

  • 14:28 Sampling Distribution Example Problem

    Sampling Distribution Example Problem

    / 516 views

    Figuring out the probability of running out of water on a camping trip More free lessons at: http://www.khanacademy.org/video?v=0ZstEh_8bYc

  • 15:15 Standard Error of the Mean

    Standard Error of the Mean

    / 498 views

    Standard Error of the Mean (a.k.a. the standard deviation of the sampling distribution of the sample mean!) More free lessons at: http://www.khanacademy.org/video?v=J1twbrHel3o

  • 13:20 Sampling Distribution of the Sample Mean 2

    Sampling Distribution of the Sample Mean 2

    / 637 views

    More on the Central Limit Theorem and the Sampling Distribution of the Sample Mean More free lessons at: http://www.khanacademy.org/video?v=NYd6wzYkQIM

  • 10:52 Sampling Distribution of the Sample Mean

    Sampling Distribution of the Sample Mean

    / 615 views

    The central limit theorem and the sampling distribution of the sample mean More free lessons at: http://www.khanacademy.org/video?v=FXZ2O1Lv-KE

  • 09:49 Popular Central Limit Theorem

    Central Limit Theorem

    / 788 views

    Introduction to the central limit theorem and the sampling distribution of the mean More free lessons at: http://www.khanacademy.org/video?v=JNm3M9cqWyc

  • 05:57 ck12.org: More Empirical Rule and Z-score practice

    ck12.org: More Empirical Rule and Z-score practice

    / 543 views

    More Empirical Rule and Z-score practice More free lessons at: http://www.khanacademy.org/video?v=itQEwESWDKg

  • 08:16 Popular ck12.org Exercise: Standard Normal Distribution and the Empirical Rule

    ck12.org Exercise: Standard Normal Distribution and the Empirical Rule

    / 892 views

    Using the Empirical Rule with a standard normal distribution More free lessons at: http://www.khanacademy.org/video?v=2fzYE-Emar0

  • 10:25 Popular ck12.org Normal Distribution Problems: Empirical Rule

    ck12.org Normal Distribution Problems: Empirical Rule

    / 928 views

    Using the empirical rule (or 68-95-99.7 rule) to estimate probabilities for normal distributions More free lessons at: http://www.khanacademy.org/video?v=OhRr26AfFBU

  • 07:48 ck12.org Normal Distribution Problems: z-score

    ck12.org Normal Distribution Problems: z-score

    / 700 views

    Z-score practice More free lessons at: http://www.khanacademy.org/video?v=Wp2nVIzBsE8

  • 10:53 ck12.org Normal Distribution Problems: Qualitative sense of normal distributions

    ck12.org Normal Distribution Problems: Qualitative sense of normal distributions

    / 672 views

    Discussion of how "normal" a distribution might be More free lessons at: http://www.khanacademy.org/video?v=79duxPXpyKQ

  • 26:24 Introduction to the Normal Distribution

    Introduction to the Normal Distribution

    / 643 views

    Exploring the normal distribution More free lessons at: http://www.khanacademy.org/video?v=hgtMWR3TFnY

  • 26:04 Popular Normal Distribution Excel Exercise

    Normal Distribution Excel Exercise

    / 1,631 views

    (Long-26 minutes) Presentation on spreadsheet to show that the normal distribution approximates the binomial distribution for a large number of trials. More free lessons at: http://www.khanacademy.org/video?v=yTGEMoaWDCQ

  • 09:00 Law of Large Numbers

    Law of Large Numbers

    / 518 views

    Introduction to the law of large numbers More free lessons at: http://www.khanacademy.org/video?v=VpuN8vCQ--M

  • 12:42 Poisson Process 2

    Poisson Process 2

    / 483 views

    More of the derivation of the Poisson Distribution. More free lessons at: http://www.khanacademy.org/video?v=Jkr4FSrNEVY

  • 11:01 Poisson Process 1

    Poisson Process 1

    / 582 views

    Introduction to Poisson Processes and the Poisson Distribution. More free lessons at: http://www.khanacademy.org/video?v=3z-M6sbGIZ0

  • 16:56 Expected Value of Binomial Distribution

    Expected Value of Binomial Distribution

    / 611 views

    Expected value of a binomial distributed random variable More free lessons at: http://www.khanacademy.org/video?v=SqcxYnNlI3Y

  • 14:53 Expected Value: E(X)

    Expected Value: E(X)

    / 482 views

    Expected value of a random variable

  • 10:46 Binomial Distribution 4

    Binomial Distribution 4

    / 548 views

    Using Excel to visualize the basketball binomial distribution More free lessons at: http://www.khanacademy.org/video?v=H0ZgOGWUcJw

  • 13:27 Binomial Distribution 3

    Binomial Distribution 3

    / 621 views

    Basketball binomial distribution More free lessons at: http://www.khanacademy.org/video?v=vKNpQ_KTXvE

  • 11:05 Binomial Distribution 2

    Binomial Distribution 2

    / 548 views

    More on the binomial distribution More free lessons at: http://www.khanacademy.org/video?v=FI8xtVaI068

  • 12:16 Binomial Distribution 1

    Binomial Distribution 1

    / 566 views

    Introduction to the binomial distribution More free lessons at: http://www.khanacademy.org/video?v=O12yTz_8EOw

  • 10:02 Probability Density Functions

    Probability Density Functions

    / 612 views

    Probability density functions for continuous random variables. More free lessons at: http://www.khanacademy.org/video?v=Fvi9A_tEmXQ

  • 12:04 Introduction to Random Variables

    Introduction to Random Variables

    / 506 views

    Introduction to random variables and probability distribution functions. More free lessons at: http://www.khanacademy.org/video?v=IYdiKeQ9xEI

  • 12:17 Statistics: Alternate Variance Formulas

    Statistics: Alternate Variance Formulas

    / 510 views

    Playing with the formula for variance of a population. More free lessons at: http://www.khanacademy.org/video?v=sRVGcYGjUk8

  • 13:07 Statistics: Standard Deviation

    Statistics: Standard Deviation

    / 476 views

    Review of what we've learned. Introduction to the standard deviation. More free lessons at: http://www.khanacademy.org/video?v=HvDqbzu0i0E

  • 11:18 Statistics: Sample Variance

    Statistics: Sample Variance

    / 490 views

    Using the variance of a sample to estimate the variance of a population More free lessons at: http://www.khanacademy.org/video?v=Qf3RMGXR-h8

  • 12:23 Statistics: Variance of a Population

    Statistics: Variance of a Population

    / 473 views

    Variance of a population. More free lessons at: http://www.khanacademy.org/video?v=6JFzI1DDyyk

  • 06:42 Statistics: Sample vs. Population Mean

    Statistics: Sample vs. Population Mean

    / 494 views

    The difference between the mean of a sample and the mean of a population.

  • 12:35 Statistics: The Average

    Statistics: The Average

    / 592 views

    Introduction to descriptive statistics and central tendency. Ways to measure the average of a set: median, mean, mode More free lessons at: http://www.khanacademy.org/video?v=uhxtUt_-GyM

  • 14:57 Hardy-Weinberg Principle

    Hardy-Weinberg Principle

    / 521 views

    Understanding allele and genotype frequency in population in Hardy-Weinberg Equilibrium.

  • 12:09 Surveys and Samples

    Surveys and Samples

    / 551 views

    Surveys and Samples

  • 13:14 Popular Box-and-whisker Plot

    Box-and-whisker Plot

    / 784 views

    Box-and-whisker Plot

  • 06:08 Histograms

    Histograms

    / 656 views

    Histograms More free lessons at: http://www.khanacademy.org/video?v=4eLJGG2Ad30

  • 12:34 Range, Variance and Standard Deviation as Measures of Dispersion

    Range, Variance and Standard Deviation as Measures of Dispersion

    / 670 views

    Range, Variance and Standard Deviation as Measures of Dispersion More free lessons at: http://www.khanacademy.org/video?v=E4HAYd0QnRc

  • 09:01 Popular Average or Central Tendency: Arithmetic Mean, Median, and Mode

    Average or Central Tendency: Arithmetic Mean, Median, and Mode

    / 726 views

    Average or Central Tendency: Arithmetic Mean, Median, and Mode

  • 12:14 Using a Linear Model

    Using a Linear Model

    / 514 views

    Using a Linear Model

  • 07:48 Fitting a Line to Data

    Fitting a Line to Data

    / 557 views

    Fitting a Line to Data More free lessons at: http://www.khanacademy.org/video?v=OhUkMQtBGmE

  • 10:51 Probability of Dependent Events 2

    Probability of Dependent Events 2

    / 489 views

    U12_L2_T4_we3 Probability of Dependent Events 2 More free lessons at: http://www.khanacademy.org/video?v=ccrYD6iX_SY Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education

  • 02:23 Probability of Dependent Events

    Probability of Dependent Events

    / 568 views

    U12_L2_T4_we2 Probability of Dependent Events More free lessons at: http://www.khanacademy.org/video?v=l9ft9jpriNA Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education

  • 05:10 Permutations and Combinations 4

    Permutations and Combinations 4

    / 608 views

    U12_L2_T4_we1 Permutations and Combinations 4 More free lessons at: http://www.khanacademy.org/video?v=DIjlllgq3dc Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education

  • 07:43 Permutations and Combinations 3

    Permutations and Combinations 3

    / 501 views

    U12_L2_T3_we3 Permutations and Combinations 3 More free lessons at: http://www.khanacademy.org/video?v=SbpoyXTpC84 Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education

  • 02:19 Permutations and Combinations 2

    Permutations and Combinations 2

    / 488 views

    U12_L2_T3_we2 Permutations and Combinations 2 More free lessons at: http://www.khanacademy.org/video?v=v9NLtiVt3XY Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education

  • 03:45 Permutations and Combinations 1

    Permutations and Combinations 1

    / 573 views

    U12_L2_T3_we1 Permutations and Combinations 1 More free lessons at: http://www.khanacademy.org/video?v=oQpKtm5TtxU Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education

  • 02:28 Independent Events 3

    Independent Events 3

    / 508 views

    U12_L2_T2_we3 Independent Events 3 More free lessons at: http://www.khanacademy.org/video?v=2MYA8Ba2PvM Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education

  • 04:44 Independent Events 2

    Independent Events 2

    / 499 views

    U12_L2_T2_we2 Independent Events 2 More free lessons at: http://www.khanacademy.org/video?v=VWAfEbgf1Po Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education

  • 02:39 U12_L2_T2_we1 Independent Events 1

    U12_L2_T2_we1 Independent Events 1

    / 434 views

    U12_L2_T2_we1 Independent Events 1 More free lessons at: http://www.khanacademy.org/video?v=Za7G_eWKiF4 Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education

  • 02:09 Events and Outcomes 3

    Events and Outcomes 3

    / 483 views

    U12_L2_T1_we3 Events and Outcomes 3 More free lessons at: http://www.khanacademy.org/video?v=3_otNr9kRuY Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education

  • 04:43 Events and Outcomes 2

    Events and Outcomes 2

    / 570 views

    U12_L2_T1_we2 Events and Outcomes 2

  • 02:11 Events and Outcomes 1

    Events and Outcomes 1

    / 491 views

    U12_L2_T1_we1 Events and Outcomes 1 More free lessons at: http://www.khanacademy.org/video?v=cdRLBOnLTDk Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education

  • 10:30 Probability (part 1)

    Probability (part 1)

    / 517 views

    What probability is. More free lessons at: http://www.khanacademy.org/video?v=3ER8OkqBdpE

  • 02:14 Coin Flipping Example

    Coin Flipping Example

    / 530 views

    u08_l4_t1_we3 Coin Flipping Example More free lessons at: http://www.khanacademy.org/video?v=3UlE8gyKbkU Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education

  • 06:17 Probability of More Complex Outcome

    Probability of More Complex Outcome

    / 627 views

    u08_l4_t1_we2 Probability of More Complex Outcome

  • 02:56 Simple Probability

    Simple Probability

    / 509 views

    u08_l4_t1_we1 Simple Probability More free lessons at: http://www.khanacademy.org/video?v=yUaI0JriZtY Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education

  • 04:53 Misleading Line Graphs

    Misleading Line Graphs

    / 523 views

    u08_l3_t1_we2 Misleading Line Graphs More free lessons at: http://www.khanacademy.org/video?v=gs-OPF3KEGU Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education

  • 10:05 Box-and-Whisker Plots

    Box-and-Whisker Plots

    / 621 views

    u08_l3_t1_we1 Box-and-Whisker Plots More free lessons at: http://www.khanacademy.org/video?v=-M0Fi0ijnJs Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education

  • 03:18 Reading Box-and-Whisker Plots

    Reading Box-and-Whisker Plots

    / 559 views

    u08_l2_t1_we4 Reading Box-and-Whisker Plots More free lessons at: http://www.khanacademy.org/video?v=b2C9I8HuCe4 Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education

  • 07:53 Measures of Center

    Measures of Center

    / 428 views

    u08_l2_t1_we3 Measures of Center

  • 02:03 Range and Mid-range

    Range and Mid-range

    / 474 views

    u08_l2_t1_we2 Range and Mid-range More free lessons at: http://www.khanacademy.org/video?v=7DtWXEPB_AI Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education

  • 03:55 Mean Median and Mode

    Mean Median and Mode

    / 483 views

    u08_l2_t1_we1 Mean Median and Mode More free lessons at: http://www.khanacademy.org/video?v=k3aKKasOmIw Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education

  • 05:58 u08_l1_t2_we3 Stem-and-leaf Plots

    u08_l1_t2_we3 Stem-and-leaf Plots

    / 438 views

    u08_l1_t2_we3 Stem-and-leaf Plots More free lessons at: http://www.khanacademy.org/video?v=LEFE1km5ROY Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education

  • 02:21 u08_l1_t2_we2 Reading Line Graphs

    u08_l1_t2_we2 Reading Line Graphs

    / 578 views

    u08_l1_t2_we2 Reading Line Graphs More free lessons at: http://www.khanacademy.org/video?v=36v2EXZRzUE Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education

  • 03:09 Reading Pie Graphs (Circle Graphs)

    Reading Pie Graphs (Circle Graphs)

    / 631 views

    u08_l1_t2_we1 Reading Pie Graphs (Circle Graphs) More free lessons at: http://www.khanacademy.org/video?v=4JqH55rLGKY Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education

  • 02:59 Popular Reading Bar Graphs

    Reading Bar Graphs

    / 889 views

    u08_l1_t1_we2 Reading Bar Graphs More free lessons at: http://www.khanacademy.org/video?v=kiQ6MUQZHSs Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education

  • 02:21 Popular Reading Pictographs

    Reading Pictographs

    / 867 views

    u08_l1_t1_we1 Reading Pictographs More free lessons at: http://www.khanacademy.org/video?v=qrVvpYt3Vl0 Content provided by TheNROCproject.org - (c) Monterey Institute for Technology and Education

  • 10:02 Probability with Playing Cards and Venn Diagrams

    Probability with Playing Cards and Venn Diagrams

    / 597 views

    Probability of compound events. The Addition Rule. Common Core Standard 457 S-CP.7 More free lessons at: http://www.khanacademy.org/video?v=obZzOq_wSCg

  • 08:05 Vi and Sal Talk About the Mysteries of Benford's Law

    Vi and Sal Talk About the Mysteries of Benford's Law

    / 466 views

    Vi Hart visits Khan Academy and talks about Benford's Law with Sal More free lessons at: http://www.khanacademy.org/video?v=6KmeGpjeLZ0

  • 10:43 Addition Rule for Probability

    Addition Rule for Probability

    / 666 views

    Venn diagrams and the addition rule for probability More free lessons at: http://www.khanacademy.org/video?v=QE2uR6Z-NcU

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