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Khan Academy

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  1. 1

    Statistics: The Average

    by Khan Academy 593,411 views

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

  2. 2

    Statistics: Sample vs. Population Mean

    by Khan Academy 316,232 views

    Learn more: http://www.khanacademy.org/video?v=hsPCte_PcVA
    The difference between the mean of a sample and the mean of a population.

  3. 3

    Statistics: Variance of a Population

    by Khan Academy 311,678 views

    Learn more: http://www.khanacademy.org/video?v=6JFzI1DDyyk
    Variance of a population.

  4. 4

    Statistics: Sample Variance

    by Khan Academy 282,574 views

    Learn more: http://www.khanacademy.org/video?v=Qf3RMGXR-h8
    Using the variance of a sample to estimate the variance of a population

  5. 5

    Statistics: Standard Deviation

    by Khan Academy 633,948 views

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

  6. 6

    Statistics: Alternate Variance Formulas

    by Khan Academy 154,788 views

    Learn more: http://www.khanacademy.org/video?v=sRVGcYGjUk8
    Playing with the formula for variance of a population.

  7. 7

    Introduction to Random Variables

    by Khan Academy 323,489 views

    Learn more: http://www.khanacademy.org/video?v=IYdiKeQ9xEI
    Introduction to random variables and probability distribution functions.

  8. 8

    Probability Density Functions

    by Khan Academy 439,524 views

    Learn more: http://www.khanacademy.org/video?v=Fvi9A_tEmXQ
    Probability density functions for continuous random variables.

  9. 9

    Binomial Distribution 1

    by Khan Academy 452,614 views

    Learn more: http://www.khanacademy.org/video?v=O12yTz_8EOw
    Introduction to the binomial distribution

  10. 10

    Binomial Distribution 2

    by Khan Academy 212,470 views

    Learn more: http://www.khanacademy.org/video?v=FI8xtVaI068
    More on the binomial distribution

  11. 11

    Binomial Distribution 3

    by Khan Academy 157,723 views

    Learn more: http://www.khanacademy.org/video?v=vKNpQ_KTXvE
    Basketball binomial distribution

  12. 12

    Binomial Distribution 4

    by Khan Academy 122,414 views

    Learn more: http://www.khanacademy.org/video?v=H0ZgOGWUcJw
    Using Excel to visualize the basketball binomial distribution

  13. 13

    Expected Value: E(X)

    by Khan Academy 298,544 views

    Learn more: http://www.khanacademy.org/video?v=j__Kredt7vY
    Expected value of a random variable

  14. 14

    Expected Value of Binomial Distribution

    by Khan Academy 144,967 views

    Learn more: http://www.khanacademy.org/video?v=SqcxYnNlI3Y
    Expected value of a binomial distributed random variable

  15. 15

    Poisson Process 1

    by Khan Academy 213,169 views

    Learn more: http://www.khanacademy.org/video?v=3z-M6sbGIZ0
    Introduction to Poisson Processes and the Poisson Distribution.

  16. 16

    Poisson Process 2

    by Khan Academy 115,099 views

    Learn more: http://www.khanacademy.org/video?v=Jkr4FSrNEVY
    More of the derivation of the Poisson Distribution.

  17. 17

    Law of Large Numbers

    by Khan Academy 133,558 views

    Learn more: http://www.khanacademy.org/video?v=VpuN8vCQ--M
    Introduction to the law of large numbers

  18. 18

    Normal Distribution Excel Exercise

    by Khan Academy 120,245 views

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

  19. 19

    Introduction to the Normal Distribution

    by Khan Academy 259,549 views

    Learn more: http://www.khanacademy.org/video?v=hgtMWR3TFnY
    Exploring the normal distribution

  20. 20

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

    by Khan Academy 72,285 views

    Learn more: http://www.khanacademy.org/video?v=79duxPXpyKQ
    Discussion of how "normal" a distribution might be

  21. 21

    ck12.org Normal Distribution Problems: z-score

    by Khan Academy 165,221 views

    Learn more: http://www.khanacademy.org/video?v=Wp2nVIzBsE8
    Z-score practice

  22. 22

    ck12.org Normal Distribution Problems: Empirical Rule

    by Khan Academy 106,721 views

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

  23. 23

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

    by Khan Academy 80,457 views

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

  24. 24

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

    by Khan Academy 77,956 views

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

  25. 25

    Central Limit Theorem

    by Khan Academy 245,461 views

    Learn more: http://www.khanacademy.org/video?v=JNm3M9cqWyc
    Introduction to the central limit theorem and the sampling distribution of the mean

  26. 26

    Sampling Distribution of the Sample Mean

    by Khan Academy 171,455 views

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

  27. 27

    Sampling Distribution of the Sample Mean 2

    by Khan Academy 103,934 views

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

  28. 28

    Standard Error of the Mean

    by Khan Academy 192,789 views

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

  29. 29

    Sampling Distribution Example Problem

    by Khan Academy 108,576 views

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

  30. 30

    Confidence Interval 1

    by Khan Academy 228,007 views

    Learn more: http://www.khanacademy.org/video?v=bekNKJoxYbQ
    Estimating the probability that the true population mean lies within a range around a sample mean.

  31. 31

    Mean and Variance of Bernoulli Distribution Example

    by Khan Academy 53,833 views

    Learn more: http://www.khanacademy.org/video?v=O8vB1eInP_8
    Mean and Variance of Bernoulli Distribution Example

  32. 32

    Bernoulli Distribution Mean and Variance Formulas

    by Khan Academy 46,201 views

    Learn more: http://www.khanacademy.org/video?v=ry81_iSHt6E
    Bernoulli Distribution Mean and Variance Formulas

  33. 33

    Margin of Error 1

    by Khan Academy 69,868 views

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

  34. 34

    Margin of Error 2

    by Khan Academy 35,690 views

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

  35. 35

    Confidence Interval Example

    by Khan Academy 118,117 views

    Learn more: http://www.khanacademy.org/video?v=SeQeYVJZ2gE
    Confidence Interval Example

  36. 36

    Small Sample Size Confidence Intervals

    by Khan Academy 64,698 views

    Learn more: http://www.khanacademy.org/video?v=K4KDLWENXm0
    Constructing small sample size confidence intervals using t-distributions

  37. 37

    Hypothesis Testing and P-values

    by Khan Academy 389,292 views

    Learn more: http://www.khanacademy.org/video?v=-FtlH4svqx4
    Hypothesis Testing and P-values

  38. 38

    One-Tailed and Two-Tailed Tests

    by Khan Academy 155,429 views

    Learn more: http://www.khanacademy.org/video?v=mvye6X_0upA
    One-Tailed and Two-Tailed Tests

  39. 39

    Z-statistics vs. T-statistics

    by Khan Academy 233,756 views

    Learn more: http://www.khanacademy.org/video?v=5ABpqVSx33I
    Z-statistics vs. T-statistics

  40. 40

    Type 1 Errors

    by Khan Academy 97,169 views

    Learn more: http://www.khanacademy.org/video?v=EowIec7Y8HM
    Type 1 Errors

  41. 41

    Small Sample Hypothesis Test

    by Khan Academy 106,593 views

    Learn more: http://www.khanacademy.org/video?v=D2sMsmL0ScQ
    Small Sample Hypothesis Test

  42. 42

    T-Statistic Confidence Interval

    by Khan Academy 127,833 views

    Learn more: http://www.khanacademy.org/video?v=hV4pdjHCKuA
    T-Statistic Confidence Interval (for small sample sizes)

  43. 43

    Large Sample Proportion Hypothesis Testing

    by Khan Academy 60,277 views

    Learn more: http://www.khanacademy.org/video?v=1JT9oODsClE
    Large Sample Proportion Hypothesis Testing

  44. 44

    Variance of Differences of Random Variables

    by Khan Academy 46,585 views

    Learn more: http://www.khanacademy.org/video?v=rLdoKZ7w0xI
    Variance of Differences of Random Variables

  45. 45

    Difference of Sample Means Distribution

    by Khan Academy 44,259 views

    Learn more: http://www.khanacademy.org/video?v=TcIDXqmt74A
    Difference of Sample Means Distribution

  46. 46

    Confidence Interval of Difference of Means

    by Khan Academy 49,489 views

    Learn more: http://www.khanacademy.org/video?v=hxZ6uooEJOk
    Confidence Interval of Difference of Means

  47. 47

    Clarification of Confidence Interval of Difference of Means

    by Khan Academy 25,944 views

    Learn more: http://www.khanacademy.org/video?v=yQsCMnz9wO8
    Clarification of Confidence Interval of Difference of Means

  48. 48

    Hypothesis Test for Difference of Means

    by Khan Academy 66,786 views

    Learn more: http://www.khanacademy.org/video?v=N984XGLjQfs
    Hypothesis Test for Difference of Means

  49. 49

    Comparing Population Proportions 1

    by Khan Academy 37,933 views

    Learn more: http://www.khanacademy.org/video?v=a1Ye5RcWOqg
    Comparing Population Proportions 1

  50. 50

    Comparing Population Proportions 2

    by Khan Academy 23,938 views

    Learn more: http://www.khanacademy.org/video?v=MNbat1lrJW4
    Comparing Population Proportions 2

  51. 51

    Hypothesis Test Comparing Population Proportions

    by Khan Academy 38,378 views

    Learn more: http://www.khanacademy.org/video?v=dvSa_tx04hw
    Hypothesis Test Comparing Population Proportions

  52. 52

    Squared Error of Regression Line

    by Khan Academy 83,785 views

    Learn more: http://www.khanacademy.org/video?v=6OvhLPS7rj4
    Introduction to the idea that one can find a line that minimizes the squared distances to the points

  53. 53

    Proof (Part 1) Minimizing Squared Error to Regression Line

    by Khan Academy 54,663 views

    Learn more: http://www.khanacademy.org/video?v=mIx2Oj5y9Q8
    Proof (Part 1) Minimizing Squared Error to Regression Line

  54. 54

    Proof (Part 3) Minimizing Squared Error to Regression Line

    by Khan Academy 36,591 views

    Learn more: http://www.khanacademy.org/video?v=u1HhUB3NP8g
    Proof (Part 3) Minimizing Squared Error to Regression Line

  55. 55

    Proof (Part 4) Minimizing Squared Error to Regression Line

    by Khan Academy 31,392 views

    Learn more: http://www.khanacademy.org/video?v=8RSTQl0bQuw
    Proof (Part 4) Minimizing Squared Error to Regression Line

  56. 56

    Regression Line Example

    by Khan Academy 123,420 views

    Learn more: http://www.khanacademy.org/video?v=GAmzwIkGFgE
    Regression Line Example

  57. 57

    Proof Part 2 Minimizing Squared Error to Line

    by Khan Academy 37,033 views

    Learn more: http://www.khanacademy.org/video?v=f6OnoxctvUk
    Proof Part 2 Minimizing Squared Error to Line

  58. 58

    R-Squared or Coefficient of Determination

    by Khan Academy 96,424 views

    Learn more: http://www.khanacademy.org/video?v=lng4ZgConCM
    R-Squared or Coefficient of Determination

  59. 59

    Second Regression Example

    by Khan Academy 38,310 views

    Learn more: http://www.khanacademy.org/video?v=ww_yT9ckPWw
    Second Regression Example

  60. 60

    Calculating R-Squared

    by Khan Academy 62,947 views

    Learn more: http://www.khanacademy.org/video?v=Fc5t_5r_7IU
    Calculating R-Squared to see how well a regression line fits data

  61. 61

    Covariance and the Regression Line

    by Khan Academy 71,880 views

    Learn more: http://www.khanacademy.org/video?v=ualmyZiPs9w
    Covariance, Variance and the Slope of the Regression Line

  62. 64

    Chi-Square Distribution Introduction

    by Khan Academy 123,746 views

    Learn more: http://www.khanacademy.org/video?v=dXB3cUGnaxQ
    Chi-Square Distribution Introduction

  63. 65

    Pearson's Chi Square Test (Goodness of Fit)

    by Khan Academy 149,698 views

    Learn more: http://www.khanacademy.org/video?v=2QeDRsxSF9M
    Pearson's Chi Square Test (Goodness of Fit)

  64. 66

    Contingency Table Chi-Square Test

    by Khan Academy 67,302 views

    Learn more: http://www.khanacademy.org/video?v=hpWdDmgsIRE
    Contingency Table Chi-Square Test

  65. 67

    ANOVA 1 - Calculating SST (Total Sum of Squares)

    by Khan Academy 131,017 views

    Learn more: http://www.khanacademy.org/video?v=EFdlFoHI_0I
    Analysis of Variance 1 - Calculating SST (Total Sum of Squares)

  66. 68

    ANOVA 2 - Calculating SSW and SSB (Total Sum of Squares Within and Between).avi

    by Khan Academy 88,719 views

    Learn more: http://www.khanacademy.org/video?v=j9ZPMlVHJVs
    Analysis of Variance 2 - Calculating SSW and SSB (Total Sum of Squares Within and Between).avi

  67. 69

    ANOVA 3 -Hypothesis Test with F-Statistic

    by Khan Academy 103,172 views

    Learn more: http://www.khanacademy.org/video?v=Xg8_iSkJpAE
    Analysis of Variance 3 -Hypothesis Test with F-Statistic

  68. 70

    Correlation and Causality

    by Khan Academy 126,027 views

    Learn more: http://www.khanacademy.org/video?v=ROpbdO-gRUo
    Understanding why correlation does not imply causality (even though many in the press and some researchers often imply otherwise)

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