3.6 robust measures
DESCRIPTION
3.6 Robust Measures. Objectives: By the end of this section, I will be able to… Find quartiles and the interquartile range. Calculate the five-number summary of a data set. Construct a boxplot for a given data set. Apply robust detection of outliers. Section 3.6. Robust Measures. - PowerPoint PPT PresentationTRANSCRIPT
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3.6 Robust Measures
Objectives:By the end of this section, I will beable to…
1) Find quartiles and the interquartile range.2) Calculate the five-number summary of a
data set.3) Construct a boxplot for a given data set.4) Apply robust detection of outliers.
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Section 3.6
Robust Measures
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What are robust measures?
• Since the mean and the standard deviation are SENSITIVE to outliers, analysts prefer to use more robust measures.
• Three Types of Robust Measures1. Median2. Five Number Summary3. IQR
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Quartiles – breaking data into quartersThe five number summary uses the following values:• Minimum, smallest value, Q0, 0th percentile• First Quartile, Q1, 25th Percentile• Second Quartile, Q2, 50th Percentile, MEDIAN• Third Quartile, Q3, 75th Percentile• Maximum, largest value, Q4, 100th Percentile
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1. How fast did the bus in the movie Speed need to go in
order not to blow up
50 mph
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2. Who did Adam Sandler fight in Happy Gilmore?
Bob Barker
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3. The actor who plays Harry Potter.
Daniel Radcliffe
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4. The name of Ricky Bobby’s best friend in
Talladega Nights?
Cal Naughton, Jr
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5. Mark Walhberg teams up with this actor in The
Fighter.
Christian Bale
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6. Jake Gyllenhall starred in this period film that came out
in May 2010?
Prince of Persia
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7. Who was the original killer in Friday the 13th?
Jason’s Mom
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8. In the movie Tropic Thunder, who is the balding studio exec?
Tom Cruise
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9. He is the British actor in Get Him to the Greek?
Russell Brand
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10. A new movie just released about Facebook.
The Social Network
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11. In Toy Story, what is the evil neighbor’s name?
Sid
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12. What does Robert Downey Jr. sell in the movie
Iron Man?
Weapons
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13. What are the pet’s names in Homeward Bound?
Shadow, Chance and Sassy
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14. What is the first rule that is made in the movie Fight
Club?
Don’t talk about the club.
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15. The City where Michael Oher was adopted by the
Touhey family.
Memphis
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16. In 300, what is the Persian King’s name?
Xerxes
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17. In Fresh Prince of Bel-Air what was the butlers
name
Geoffrey
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18. Bradley Cooper starred in this comedy’s first
installment a few years ago.
The Hangover
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19. ESPN is based out of which Connecticut city?
Bristol
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20. A military movie in 2008 that followed around an
EOD team in Iraq. Jeremy Renner starred in it.
The Hurt Locker
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•HOW MANY DID YOU GET RIGHT?
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•Find the five number summary.
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FIVE NUMBER SUMMARY• Put data into ORDER (either by hand or
on calc)• Find the median = Q2• Cut the data into 2 Halves
• The median of the 1st Half = Q1• The median of the 2nd Half = Q3
• Label the max and min values
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Interquartile Range (IQR)
• It is a robust measure of VARIABILITY.
• IQR = Q3 – Q1• Find the IQR.
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BOX AND WHISKER PLOT• Graph that displays the Five Number
Summary.• LABEL the five values.
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Comparing Box and Whisker Plots
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Salaries• Find the following:• The five number summary • The IQR• Create and LABEL a box and whisker plot