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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
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.






5 my age 27 or 29

5. My age. 27 or 29 from history.




8 jingle bells was actually written for which holiday halloween or thanksgiving

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



10 the only salesianum sport that has not won a state championship basketball or wrestling

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




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


14 tigers have striped fur what else is striped skin or eyes

14. Nike swoosh logo from a student for how much money? Tigers have striped fur. What else is striped? Skin or Eyes


15 what travels faster light or sound

15. Nike swoosh logo from a student for how much money? What travels faster, light or sound?


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


17 on which vegetable did egyptians used to place their hand over when under oath onion or a carrot

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


18 what is the top selling spice in the world pepper or salt

18. What is the top selling spice in the world? hand over when under oath? Pepper or Salt












8 jingle bells was actually written for which holiday halloween or thanksgiving1

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

Thanksgiving


9 how many qs are in a scrabble game 1 or 21

9. How many Qs are in a Scrabble game? 1 or 2 holiday? Halloween or Thanksgiving

1


10 the only salesianum sport that has not won a state championship basketball or wrestling1

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

Basketball



12 what is the name of the camel on the back of camel cigarettes old john or old joe1

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

Old Joe


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

$35


14 tigers have striped fur what else is striped skin or eyes1

14. Nike swoosh logo from a student for how much money? $35 or $65Tigers have striped fur. What else is striped? Skin or Eyes

Skin


15 what travels faster light or sound1

15. Nike swoosh logo from a student for how much money? $35 or $65What travels faster, light or sound?

Light


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

Cali


17 on which vegetable did egyptians used to place their hand over when under oath onion or a carrot1

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

Onion



19 the first country music artist to sell over 10 million copies garth brooks or tim mcgraw1

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

Garth Brooks



Comparing scores
Comparing Scores Lacrosse or Cricket.

  • Standardized Tests: SATs, TerraNovas, CTBS, ACTs

  • Two ways to compare scores:

    • Percentile Rank

    • Z-scores


Percentile rank
PERCENTILE RANK Lacrosse or Cricket.

# 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


Percentile rank1
PERCENTILE RANK Lacrosse or Cricket.

# of Equal scores

Scores that came BEFORE

  • Find your percentile rank.

Total Number


Z scores
z Lacrosse or Cricket.-scores

  • Numerical values that are used to compare scores

  • It indicates how many standard deviations a data value is from the mean.


Z scores1
z Lacrosse or Cricket.-scores

MEAN

1) Find your z-score.

  • Let’s find the meanfirst.

  • Now find the standard deviation.

Standard Deviation


USE Lacrosse or Cricket.DECIMALS

FOR z-scores.

  • We want them to be as accurate as possible!


+ Lacrosse or Cricket. z-score

means you are ABOVE the

-z-score

means you are BELOW the

0 z-score

means you are the exactly


Finding an actual score
Finding an actual score Lacrosse or Cricket.

  • If the average senior at UD can drink 9 beers before he/she gets sick with a standard deviation of 1.76, find the amount that the following people actually drank.

    Timmy Joe who had a z-score of 5.1

    Betty Sue who had a z-score of -0.957

17.976

7.316


Z scores and outliers
z Lacrosse or Cricket.-scores and OUTLIERS

  • If you are between -2 and 2 it is NOT unusual.

  • If you are <-3 or >3 it is very unusual and it is an OUTLIER


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