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3.4 Measures of Position

3.4 Measures of Position. Objectives: By the end of this section, I will be able to… Find percentiles for both small and large data sets. Calculate z -scores, and explain why we use them. Use z -scores to detect outliers.

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3.4 Measures of Position

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  1. 3.4 Measures of Position Objectives: By the end of this section, I will be able to… • Find percentiles for both small and large data sets. • Calculate z-scores, and explain why we use them. • Use z-scores to detect outliers.

  2. How many different types of animals are in a box of animal crackers? 18 or 7

  3. 2. How many total dots are on a pair of dice? 6 or 42

  4. 3. The kings in a deck of cards each represent a great king from history. T or F

  5. 4. There are no clocks in a Las Vegas gambling casino. T or F

  6. 5. My age. 27 or 29

  7. 6. How many times does the Lord’s Prayer appear in the Bible? 1 or 2

  8. 7. What year was Salesianum started? 1903 or 1906.

  9. 8. “Jingle Bells” was actually written for which holiday? Halloween or Thanksgiving

  10. 9. How many Qs are in a Scrabble game? 1 or 2

  11. 10. The only Salesianum sport that has not won a state championship. Basketball or wrestling.

  12. 11. The most popular name in the world is?

  13. 12. What is the name of the Camel on the back of Camel cigarettes? Old John or Old Joe

  14. 13. Oregon Coach Bill Bowerman and Phil Knight bought the Nike swoosh logo from a student for how much money? $35 or $65

  15. 14. Tigers have striped fur. What else is striped? Skin or Eyes

  16. 15. What travels faster, light or sound?

  17. 16. This U.S. state boasts the highest amount of residents who were born in other countries. California or New York.

  18. 17. On which vegetable did Egyptians used to place their hand over when under oath? Onion or a Carrot.

  19. 18. What is the top selling spice in the world? Pepper or Salt

  20. 19. The first country music artist to sell over 10 million copies. Garth Brooks or Tim McGraw.

  21. 20. What sport used the term home run before baseball? Lacrosse or Cricket.

  22. HOW MANY DID YOU GET RIGHT?

  23. 1. How many different types of animals are in a box of animal crackers? 18

  24. 2. How many total dots are on a pair of dice? 42

  25. 3. The kings in a deck of cards each represent a great king from history. T or F T

  26. 4. There are no clocks in a Las Vegas gambling casino. T or F T

  27. 5. My age. 27 or 29 29

  28. 6. How many times does the Lord’s Prayer appear in the Bible? 1 or 2 2

  29. 7. What year was Salesianum started? 1903 or 1906. 1903

  30. 8. “Jingle Bells” was actually written for which holiday? Halloween or Thanksgiving Thanksgiving

  31. 9. How many Qs are in a Scrabble game? 1 or 2 1

  32. 10. The only Salesianum sport that has not won a state championship. Basketball or wrestling. Basketball

  33. 11. The most popular name in the world is? Muhammed

  34. 12. What is the name of the Camel on the back of Camel cigarettes? Old John or Old Joe Old Joe

  35. 13. Oregon Coach Bill Bowerman and Phil Knight bought the Nike swoosh logo from a student for how much money? $35 or $65 $35

  36. 14. Tigers have striped fur. What else is striped? Skin or Eyes Skin

  37. 15. What travels faster, light or sound? Light

  38. 16. This U.S. state boasts the highest amount of residents who were born in other countries. California or New York. Cali

  39. 17. On which vegetable did Egyptians used to place their hand over when under oath? Onion or a Carrot. Onion

  40. 18. What is the top selling spice in the world? Pepper or Salt Pepper

  41. 19. The first country music artist to sell over 10 million copies. Garth Brooks or Tim McGraw. Garth Brooks

  42. 20. What sport used the term home run before baseball? Lacrosse or Cricket. Cricket

  43. Comparing Scores • Standardized Tests: SATs, TerraNovas, CTBS, ACTs • Two ways to compare scores: • Percentile Rank • Z-scores

  44. PERCENTILE RANK # of Equal scores Scores that came BEFORE • B =# of scores that came BEFORE “your” score • E =#of scores that are the same as “your” score • N = Total #of people taking the test Total Number

  45. PERCENTILE RANK # of Equal scores Scores that came BEFORE • Find your percentile rank. Total Number

  46. z-scores • Numerical values that are used to compare scores • It indicates how many standard deviations a data value is from the mean.

  47. z-scores MEAN 1) Find your z-score. • Let’s find the meanfirst. • Now find the standard deviation. Standard Deviation

  48. USE DECIMALS FOR z-scores. • We want them to be as accurate as possible!

  49. + z-score means you are ABOVE the -z-score means you are BELOW the 0 z-score means you are the exactly

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