stats notes


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DATE: May 9, 2017, 12:22 a.m.

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  1. Ap Stats review sheet:
  2. Exploring data: 20-30% chapters 1, 2, 3, and 4. Difficulty easy.
  3. Things you need to know:
  4. #########################################################################################
  5. ## Chapter 1 key info
  6. ## [--Hisogram--]: has even intervals for each bin, the bins are touching, and it's good ## for large sets of data.
  7. ## [--Shape--]: Explains in an image imagebin.ca/v/3LncMb2gDhDE
  8. ## [--Clusters--]: A group of distinct values. {Ex: imagebin.ca/v/3Lncu0ISYaGv}
  9. ## [--Gap--]: {Ex image: imagebin.ca/v/3LndW5ujQkTR}
  10. ## [--Cumulative Frequency--]: Sum the values of each bin and show the progression on a
  11. ## a graph {Ex image: imagebin.ca/v/3LnfKUcYEsJu}
  12. ## [--Relative Cumulative Frequency--]: The same as cumulative frequency but you use
  13. ## percentages instead of counts.
  14. ## [--Mean--]: The average value also noted as x̅(X-bar). x̅ is the mean of a sample.
  15. ## x̅ = sum of all values / number of values.
  16. ## [--Median--]: The middle number of the data. To find it list the numbers from least to
  17. ## greatest and then find the middle number. If there are two numbers in the middle find
  18. ## the average of the two.
  19. ## [--Mode--]: The number that shows up the most in the data.
  20. ## [--Out lier--]: A number that is different from the rest. Found with Tukey's law
  21. ## [--Out liers effect on data--]: <mean: less resistant to outliers>
  22. ## <median: more resistant to outliers> {Ex image: imagebin.ca/v/3LnjawRIEklp}
  23. ## [--Five number summery--]: (Min, Q1, Median, Q2, and Max)
  24. ## [--Q1/Quartile 1--]: Median of the first half of the data.
  25. ## [--Q3/Quartile 3--]: Median of the second half of the data.
  26. ## [--Boxplot--]: Graph of the five number summery {Ex img:imagebin.ca/v/3LnlBbPnkDF9}
  27. ## find the 5 num summery first, label the axis, and mark outliers with an X on graph
  28. ## [--Range--]: Max - Min = Range
  29. ## [--Interquartile Range--]: Q3 - Q1 = IQR
  30. ## [--Tukey's Law--]: A method for calculating outliers.
  31. ## How to find outliers: Any number below Q1 - 1.5(IRQ) is an outlier and any number
  32. ## above Q3 + 1.5(IQR) is an outlier.
  33. ## [--Deviation--]: The amount a value is above or below the mean.
  34. ## To find do: Value - x̅ = Deviation for that value. Sum of all deviations add up to 0
  35. ## [--Standard deviation--]: Square root of the average squared deviation from the mean.
  36. ## formula: imagebin.ca/v/3LnowClaupJS
  37. ## [--Variance--]: average of squared deviations.
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  40. ## Chapter 2 key info
  41. ## [--Z Score--]: Value - Mean / Standard deviation.
  42. ## [--Density Curve--]: Overall pattern of the distribution, Total area sums to one.
  43. ## [--Sigma--]: σ “sigma” is the standard deviation of the density curve.
  44. ## [--Mu--]: μ “mu” is the mean of the density curve.
  45. ## [--Normal Distribution--]:
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  48. ## Chapter 2 key info
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  52. ## Chapter 2 key info
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  56. ## Chapter 2 key info
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