Below is a list of Academy Award winners in the Best Actress and Best Actor categories and each person's age when he or she received the award.

a. Find the mean age and the median age for the Best Actress winners.
b. Find the mean age and the median age for the Best Actor winners.
c. On the same axis, draw two box plots, one for the age of Best Actress winners and the other for the age of Best Actor winners.
d. Draw two histograms, one each for Best Actress and Best Actor.
e. Use your graphs from 6c and 6d to predict which data set has the greater standard deviation. Explain your reasoning. Then calculate the standard deviations to check your prediction.
f. Julia Roberts was 33 years old when she won Best Actress in 2000. What is her percentile rank among all Best Actress winners from 1970 to 2001? Explain what this percentile rank tells you.

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Academy Award Winners 1970-2001 Best actress in a leading role, Age Best actor in a Best actress in a leading role, Age Best actor in a Year leading role, Age Year leading role, Age Paul Newman, 62 Michael Douglas, 43 Dustin Hoffiman, 51 Daniel Day-Lewis, 32 Jeremy Irons, 42 Anthony Hopkins, 5 1970 Glenda Jackson, 34 George C. Scott, 43 1971 Jane Fonda, 34 1972 Liza Mimelli, 26 1973 Glenda Jackson 37Jack Lemmon 49 1974 Ellen Burstyn, 42 1975 Louise Fletcher, 4 Jack Nicholson 38 1976 Faye Dunaway, 36 1977 Diane Keaton, 32 1978 Jane Fonda, 41 1979 Sally Field, 33 19sq Sissy Spacek, 31 1981 Katharine Hepburn 74 Henry Fonda, 76 1982 Meryl Streep, 33 1983 Shirley MacLaine, 49 Robert Duvall, 5 1984 Sally Field, 38 1985 Geraldine Page, 61 liam Hurt, 36 1986 Marlee Matlin, 21 1987 Cher, 41 1988 Jodie Foster, 26 1989 Jessica Tandy, 81 1990 Kathy Bates, 42 1991 Jodie Foster, 2 1992 Enma Thompson 33 Al Pacino, 52 Gene Hackman 42 Marlon Brando, 48 Art Carney, 56 Peter Finch, 60 Richard Dreyfuss, 301993 Holly Hunter, 36 Jon Voight, 40 Dustin Hoffiman, 42 Robert De Niro, 37 Tom Hanks, 37 Tom Hanks, 38 Nicolas Cage, 31 1994 Jessica Lange, 45 1995 Susan Sarandon, 49 1996 Frances McDormand, 39 Geoffrey Rush, 45 1997| Helen Hunt, 34 1998 Gwyneth Paltrow, 26 Roberto Benigni, 46 1999 Hilary Swank 25 Jack Nicholson, 60 Ben Kingsley, 39 Kevin Spacey, 40 Russell Crowe, 36 Denzel Washington, 47 F. Muray Abraham 45 2000Julia Roberts 2001 Halle Berry, 33