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3.4 Measures of Position

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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.
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.

slide15

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

slide18

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.

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

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

slide36

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

$35

slide39

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
  • Standardized Tests: SATs, TerraNovas, CTBS, ACTs
  • Two ways to compare scores:
    • Percentile Rank
    • Z-scores
percentile rank
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

percentile rank1
PERCENTILE RANK

# of Equal scores

Scores that came BEFORE

  • Find your percentile rank.

Total Number

z scores
z-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-scores

MEAN

1) Find your z-score.

  • Let’s find the meanfirst.
  • Now find the standard deviation.

Standard Deviation

slide49
USE DECIMALS

FOR z-scores.

  • We want them to be as accurate as possible!
slide50
+ 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
  • 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-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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