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3.4 Measures of PositionPowerPoint Presentation

3.4 Measures of Position

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

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

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

### 4. There are no clocks in a Las Vegas gambling casino. from history. T or F

### 5. My age. 27 or 29 from history.

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

### 7. What year was Salesianum started? Bible? 1903 or 1906.

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

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

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

### 11. The most popular name in the world is? championship.

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

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

### 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.

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

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

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

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

### 2. How many total dots are on a pair of dice? animal crackers?

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

### 5. My age. 27 or 29 F

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

### 7. What year was Salesianum started? 1903 or 1906. Bible? 1 or 2

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

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

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

### 11. The most popular name in the world is? championship.

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

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

### 15. Nike swoosh logo from a student for how much money? $35 or $65What 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.

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

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

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.

- HOW MANY DID YOU GET RIGHT? copies.

18

42

T

29

2

1903

Thanksgiving

1

Basketball

Muhammed

Old Joe

$35

Skin

Light

Cali

Onion

Garth Brooks

Cricket

Comparing Scores Lacrosse or Cricket.

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

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 RANK Lacrosse or Cricket.

# of Equal scores

Scores that came BEFORE

- Find your percentile rank.

Total Number

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 Lacrosse or Cricket.-scores

MEAN

1) Find your z-score.

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

Standard Deviation

+ 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 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 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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