1 Student Name: ________________________ Class Teacher: ________________________ Year 10 Mathematics Task 3, 2018 Section 1: Take home - Actors General Instructions  You will complete this task as...

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1 Student Name: ________________________ Class Teacher: ________________________ Year 10 Mathematics Task 3, 2018 Section 1: Take home - Actors General Instructions  You will complete this task as part of your take home assessment.  You need to complete all of the questions in this document and hand in to your class teacher on the due date: Week 9B Thursday, 19 th September – Period 6  On the date above, you will then complete Section 2 of this task based on the topic of Statistics. Outcomes MA.5.1-12SP Uses statistical displays to compare sets of data, and evaluates statistical claims made in the media Students will be assessed on their ability to:  Determine quartiles and interquartile range  Construct and interpret box plots and use them to compare data sets  Selects and uses appropriate strategies to solve problems  Provides reasoning to support conclusions that are appropriate to the context Submission Cover page This page is to be attached to the front of your submitted task. Student Name: Class: All My Own Work Statement I acknowledge that the work submitted is my own and that I have acknowledged sources to which I have made reference. Signed: Date: 2 Carefully read the following article and highlight important information. You can complete this page with your class. (Source: Sydney Morning Herald, January 18, 2014) ------------------------------------------------------------------------------------------------------------------------ In your own words, what is the author trying to communicate in this article? 2 What are the main points? 3 Ageless Actresses Read the attached article “Ageless actresses prove it’s all about talent” and complete with calculations, the relevant questions below. You may use Appendix 1 and 2 on pages 15-16 to assist you. Questions & Answer Space Marks 1. Complete the stem and leaf plot below using the table on ages of female Oscar winners attached on pages 12-14. 2 4 2. State the five -point summary for the data from your stem-and-leaf plot into the table below. Male Female 1 2 3 4 5 10 5 3. complete a comparative box-and-whisker plot for both the ages of male and female Oscar winners. 4 6 4. Find the median, mean, mode, range and interquartile range for both males and females and write your working and answers in the table below. Males Females Mean = Mean = Median = Median = Mode = Mode = Range = Range = 10 7 Interquartile range = Interquartile range = 5. What do the measures of spread tell us about the ages of males compared to females Oscar winners? 3 6a) State and compare ONE similarity between the two sets of data. You can refer to either a measure of central tendency or measure of spread. 1 8 6b) Provide an explanation for the similarity. 1 7a) State and contrast TWO differences between the two sets of data. You can refer to either a measure of central tendency or measure of spread. 7b) Provide an explanation for the differences. 2 1 9 8. Which measure of central tendency is most appropriate to use for comparing between the two sets of data? Why? 2 9. Compare and contrast the data from the both male and female ages of Oscar winners and draw conclusions on what the data represents. Justify your response with calculations. You will need to mention: - at least 2 measures of central tendencies - at least 2 measures of spread - shape of distribution/skewness - clusters - outliers ________________________________________________________________________________________________________________________________________________________________ ________________________________________________________________________________________________________________________________________________________________ ________________________________________________________________________________________________________________________________________________________________ ________________________________________________________________________________________________________________________________________________________________ ________________________________________________________________________________________________________________________________________________________________ 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________________________________________________________________________________________________________________________________________________________________ ________________________________________________________________________________________________________________________________________________________________ ________________________________________________________________________________________________________________________________________________________________ ________________________________________________________________________________________________________________________________________________________________ 12 No. Year won Actress Film Age upon receiving award 1 2018 Frances McDormand Three Billboards Outside Ebbing, Missouri 60 years 2 2017 Emma Stone La La Land 28 years 3 2016 Brie Larson Room 26 years 4 2015 Julianne Moore Still Alice 54 years 5 2014 Cate Blanchett Blue Jasmine 44 years 6 2013 Jennifer Lawrence Silver Linings Playbook 22 years 7 2012 Meryl Streep The Iron Lady 62 years 8 2011 Natalie Portman Black Swan 29 years 9 2010 Sandra Bullock The Blind Side 45 years 10 2009 Kate Winslet The Reader 33 years 11 2008 Marion Cotillard La Vie en rose 32 years 12 2007 Helen Mirren The Queen 61 years 13 2006 Reese Witherspoon Walk the Line 29 years 14 2005 Hilary Swank Million Dollar Baby 30 years 15 2004 Charlize Theron Monster 28 years 16 2003 Nicole Kidman The Hours 35 years 17 2002 Halie Berry Monster's Ball 33 years 18 2001 Julia Roberts Erin Brockovich 33 years 19 2000 Hilary Swank Boys Don't Cry 25 years 20 1999 Gwyneth Paltrow Shakespeare in Love 26 years 21 1998 Helen Hunt As Good as It Gets 34 years 22 1997 Frances McDormand Fargo 39 years 23 1996 Susan Sarandon Dead Man Walking 49 years 24 1995 Jessica Lange Blue Sky 45 years 25 1994 Holly Hunter The Piano 36 years 26 1993 Emma Thompson Howards End 33 years 27 1992 Jodie Foster The Silence of the Lambs 29 years 28 1991 Kathy Bates Misery 42 years 29 1900 Jessica Tandy Driving Miss Daisy 80 years 30 1989 Jodie Foster The Accused 26 years 31 1988 Cher Moonstruck 41 years 32 1987 Marlee Matlin Children of a Lesser God 21 years 33 1986 Geraldine Page The Trip to Bountiful 61 years 34 1985 Sally Field Places in the Heart 38 years 35 1984 Shirley MacLaine Terms of Endearment 49 years 36 1983 Katharine Hepburn On Golden Pond 74 years 37 1982 Sissy Spacek Coal Miner's Daughter 31 years 38 1981 Sally Field Norma Rae 33 years 39 1980 Jane Fonda Coming Home 41 years 40 1979 Diane Keaton Annie Hall 32 years 41 1978 Faye Dunaway Network 36 years 42 1977 Louise Fletcher One Flew Over the Cuckoo's 41 years 13 Nest 43 1976 Ellen Burstyn Alice Doesn't Live Here Anymore 42 years 44 1975 Glenda Jackson A Touch of Class 37 years 45 1974 Liza Minnelli Cabaret 27 years 46 1973 Jane Fonda Klute 34 years 47 1972 Glenda Jackson Women in Love 34 years 48 1971 Maggie Smith The Prime of Miss Jean Brodie 35 years 49 1970 Barbra Streisand Funny Girl 26 years 50 1969 Katharine Hepburn The Lion in Winter 61 years 51 1968 Katharine Hepburn Guess Who's Coming to Dinner 60 years 52 1967 Elizabeth Taylor Who's Afraid of Virginia Woolf? 35 years 53 1966 Julie Christie Darling 25 years 54 1965 Julie Andrew Mary Poppins 29 years 55 1964 Patricia Neal Hud 38 years 56 1963 Anne Bancroft The Miracle Worker 31 years 57 1962 Sophia Loren Two Women 27 years 58 1961 Elizabeth Taylor Butterfield 8 29 years 59 1960 Simone Signoret Room at the Top 39 years 60 1959 Susan Hayward I Want to Live! 41 years 61 1958 Joanne Woodward The Three Faces of Eve 28 years 62 1957 Ingrid Bergman Anastasia 41 years 63 1956 Anne Magnani The Rose Tattoo 48 years 64 1955 Grace Kelly The Country Girl 25 years 65 1954 Audrey Hepburn Roman Holiday 24 years 66 1953 Shirley Booth Come Back, Little Sheba 54 years 67 1952 Vivien Leigh A Streetcar Named Desire 38 years 68 1951 Judy Holliday Born Yesterday 29 years 69 1950 Olivia de Havilland The Heiress 33 years 70 1949 Jane Wyman Johnny Belinda 32 years 71 1948 Loretta Young The Farmer's Daughter 35 years 72 1947 Joan Crawford Mildred Pierce 40 years 73 1946 Ingrid Bergman Gaslight 29 years 74 1945 Jennifer Jones The Song of Bernadette 25 years 75 1944 Greer Garson Mrs. Miniver 38 years 76 1943 Joan Fonatine Suspicion 24 years 77 1942 Ginger Rogers Kitty Foyle 29 years 78 1941 Vivien Leigh Gone with the Wind 26 years 79 1940 Bette Davis Jezebel 30 years 80 1939 Luise Rainer The Good Earth 28 years 14 81 1938 Luise Rainer The Great Ziegfeld 27 years 82 1937 Bette