3.4 measures of position
DESCRIPTION
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. - PowerPoint PPT PresentationTRANSCRIPT
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3.4 Measures of PositionObjectives:By the end of this section, I will beable to…
1) Find percentiles for both small and large data sets.
2) Calculate z-scores, and explain why we use them.
3) Use z-scores to detect outliers.
![Page 3: 3.4 Measures of Position](https://reader035.vdocuments.net/reader035/viewer/2022062302/5681635c550346895dd42324/html5/thumbnails/3.jpg)
1. How many different types of animals are
in a box of animal crackers?
18 or 7
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2. How many total dots are on a pair of dice?
6 or 42
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3. The kings in a deck of cards each
represent a great king from history.
T or F
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4. There are no clocks in a Las Vegas
gambling casino.
T or F
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5. My age. 27 or 29
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6. How many times does the Lord’s Prayer
appear in the Bible?
1 or 2
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7. What year was Salesianum started?
1903 or 1906.
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8. “Jingle Bells” was actually written for
which holiday?
Halloween or Thanksgiving
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9. How many Qs are in a Scrabble game?
1 or 2
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10. The only Salesianum sport that has not won a state championship.
Basketball or wrestling.
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11. The most popular name in the world is?
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12. What is the name of the Camel on the back of Camel cigarettes?
Old John or Old Joe
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13. Oregon Coach Bill Bowerman and Phil
Knight bought the Nike swoosh logo from a
student for how much money?
$35 or $65
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14. Tigers have striped fur. What else is
striped?
Skin or Eyes
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15. What travels faster, light or sound?
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16. This U.S. state boasts the highest
amount of residents who were born in other countries.
California or New York.
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17. On which vegetable did Egyptians used to place their hand over when under oath?
Onion or a Carrot.
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18. What is the top selling spice in the
world?
Pepper or Salt
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19. The first country music artist to sell over 10
million copies.
Garth Brooks or Tim McGraw.
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20. What sport used the term home run
before baseball?
Lacrosse or Cricket.
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•HOW MANY DID YOU GET RIGHT?
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1. How many different types of animals are
in a box of animal crackers?
18
![Page 25: 3.4 Measures of Position](https://reader035.vdocuments.net/reader035/viewer/2022062302/5681635c550346895dd42324/html5/thumbnails/25.jpg)
2. How many total dots are on a pair of dice?
42
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3. The kings in a deck of cards each represent a great king from history.
T or F
T
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4. There are no clocks in a Las Vegas
gambling casino. T or F
T
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5. My age. 27 or 29
29
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6. How many times does the Lord’s Prayer
appear in the Bible? 1 or 2
2
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7. What year was Salesianum started?
1903 or 1906.
1903
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8. “Jingle Bells” was actually written for
which holiday? Halloween or Thanksgiving
Thanksgiving
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9. How many Qs are in a Scrabble game? 1
or 21
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10. The only Salesianum sport that has not won a state championship.
Basketball or wrestling.
Basketball
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11. The most popular name in the world is?
Muhammed
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12. What is the name of the Camel on the back of Camel cigarettes?
Old John or Old Joe
Old Joe
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13. Oregon Coach Bill Bowerman and Phil
Knight bought the Nike swoosh logo from a
student for how much money? $35 or $65
$35
![Page 37: 3.4 Measures of Position](https://reader035.vdocuments.net/reader035/viewer/2022062302/5681635c550346895dd42324/html5/thumbnails/37.jpg)
14. Tigers have striped fur. What else is
striped? Skin or Eyes
Skin
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15. What travels faster, light or sound?
Light
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16. This U.S. state boasts the highest amount of
residents who were born in other countries.
California or New York.
Cali
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17. On which vegetable did Egyptians used to place their hand over when under oath? Onion or a Carrot.
Onion
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18. What is the top selling spice in the world? Pepper or
Salt
Pepper
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19. The first country music artist to sell over 10
million copies. Garth Brooks or Tim
McGraw.
Garth Brooks
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20. What sport used the term home run before baseball? Lacrosse or
Cricket.Cricket
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Comparing Scores•Standardized Tests: SATs, TerraNovas, CTBS, ACTs
•Two ways to compare scores:–Percentile Rank–Z-scores
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PERCENTILE RANK
• 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
12 100
B EP
N
# of Equal scores
Total Number
Scores that came BEFORE
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PERCENTILE RANK
1)Find your percentile rank.
12 100
B EP
N
# of Equal scores
Total Number
Scores that came BEFORE
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z-scores•Numerical values that are used to compare scores
• It indicates how many standard deviations a data value is from the mean.
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z-scores1) Find your z-score.
• Let’s find the mean first.
• Now find the standard deviation.
x xzs
MEAN
Standard
Deviation
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USE DECIMALS FOR z-scores.
• We want them to be as accurate as possible!
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+ z-score means you are ABOVE the
- z-score means you are BELOW the
0 z-score means you are the exactly
x
x
x
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Finding an actual score2) 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 5.1Betty Sue who had a z-score of -0.957
x xzs
95.11.76x
90.957
1.76x
17.976 7.316
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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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