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3.6 Robust Measures

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.

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3.6 Robust Measures

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  1. 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.

  2. Section 3.6 Robust Measures

  3. 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 Measures • Median • Five Number Summary • IQR

  4. Quartiles – breaking data into quarters The 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

  5. 1. How fast did the bus in the movie Speed need to go in order not to blow up 50 mph

  6. 2. Who did Adam Sandler fight in Happy Gilmore? Bob Barker

  7. 3. The actor who plays Harry Potter. Daniel Radcliffe

  8. 4. The name of Ricky Bobby’s best friend in Talladega Nights? Cal Naughton, Jr

  9. 5. Mark Walhberg teams up with this actor in The Fighter. Christian Bale

  10. 6. Jake Gyllenhall starred in this period film that came out in May 2010? Prince of Persia

  11. 7. Who was the original killer in Friday the 13th? Jason’s Mom

  12. 8. In the movie Tropic Thunder, who is the balding studio exec? Tom Cruise

  13. 9. He is the British actor in Get Him to the Greek? Russell Brand

  14. 10. A new movie just released about Facebook. The Social Network

  15. 11. In Toy Story, what is the evil neighbor’s name? Sid

  16. 12. What does Robert Downey Jr. sell in the movie Iron Man? Weapons

  17. 13. What are the pet’s names in Homeward Bound? Shadow, Chance and Sassy

  18. 14. What is the first rule that is made in the movie Fight Club? Don’t talk about the club.

  19. 15. The City where Michael Oher was adopted by the Touhey family. Memphis

  20. 16. In 300, what is the Persian King’s name? Xerxes

  21. 17. In Fresh Prince of Bel-Air what was the butlers name Geoffrey

  22. 18. Bradley Cooper starred in this comedy’s first installment a few years ago. The Hangover

  23. 19. ESPN is based out of which Connecticut city? Bristol

  24. 20. A military movie in 2008 that followed around an EOD team in Iraq. Jeremy Renner starred in it. The Hurt Locker

  25. HOW MANY DID YOU GET RIGHT?

  26. Find the five number summary.

  27. 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

  28. Interquartile Range (IQR) • It is a robust measure of VARIABILITY. • IQR = Q3 – Q1 • Find the IQR.

  29. BOX AND WHISKER PLOT • Graph that displays the Five Number Summary. • LABEL the five values.

  30. Comparing Box and Whisker Plots

  31. Salaries • Find the following: • The five number summary • The IQR • Create and LABEL a box and whisker plot

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