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Exploring DATA Individuals and Variables Variable Types AP Statistics 2014-2015.

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Presentation on theme: "Exploring DATA Individuals and Variables Variable Types AP Statistics 2014-2015."— Presentation transcript:

1 Exploring DATA Individuals and Variables Variable Types AP Statistics 2014-2015

2 do pets or friends help reduce stress? AP Statistics 2014-2015

3 Average heart rates during stress with a pet (P), with a friend (F), and for the control group (C) GroupRateGroupRateGroupRateGroupRate P69.169P68.862C84.738C75.477 F99.692C87.231C84.877C62.646 P 70.169P64.169P58.692P70.077 C80.369C91.754P79.662F88.015 C87.446C87.785P69.231F81.600 P75.985F91.354C73.277F86.985 F83.400F100.877C84.523F92.492 F102.154C77.800C70.877P72.262 P86.446P97.538F89.815P65.446 F80.277P85.000F98.200 C90.015F101.062F76.908 C99.046F97.046P69.538 AP Statistics 2014-2015

4 Average heart rates during stress with a pet (P), with a friend (F), and for the control group (C) GroupRateGroupRateGroupRateGroupRate P69.169P68.862C84.738C75.477 F99.692C87.231C84.877C62.646 P 70.169P64.169P58.692P70.077 C80.369C91.754P79.662F88.015 C87.446C87.785P69.231F81.600 P75.985F91.354C73.277F86.985 F83.400F100.877C84.523F92.492 F102.154C77.800C70.877P72.262 P86.446P97.538F89.815P65.446 F80.277P85.000F98.200 C90.015F101.062F76.908 C99.046F97.046P69.538 Based on the data, does it appear that the presence of a pet or friend reduces heart rate during a stressful task? AP Statistics 2014-2015

5 what we’ll be learning: Objective 1A How to identify the individuals and variables in a set of data Objective 1B How to classify variables as categorical or quantitative AP Statistics 2014-2015

6 peopleanimalsthings individuals: objects described by data AP Statistics 2014-2015

7 gender race hair color age height grade level birth month eye color variable: any characteristic of an individual AP Statistics 2014-2015

8 variable: any characteristic of an individual $$ amount metal weight color dia- meter age year coin type AP Statistics 2014-2015

9 meet the data AP Statistics 2014-2015

10 meet the data ask yourself… WHO are the individuals ? WHO are the individuals ? WHAT are the variables? WHAT are the variables? AP Statistics 2014-2015

11 gender race hair color age height grade level birth month eye color AP Statistics 2014-2015

12 gender race hair color age height grade level birth month eye color Male Female Male Female GENDER 1st 2nd 1st 2nd GRADE LEVEL AP Statistics 2014-2015

13 gender race hair color age height grade level birth month eye color AP Statistics 2014-2015

14 gender race hair color age height grade level birth month eye color (6 + 7 + 7 + 6 + 7) = 6.6 Average Age: 6.6 AGE (38” + 42” + 44” + 39” + 42”) = 205” Average Height: 41” HEIGHT AP Statistics 2014-2015

15 variable types CATEGORICAL places an individual into a “category” gender hair color eye color race QUANTITATIVE makes sense to take the “average” age weight height shoe size AP Statistics 2014-2015

16 Just because a variable takes a numerical value, does that automatically mean it’s quantitative? AP Statistics 2014-2015

17 Just because a variable takes a numerical value, does that automatically mean it’s quantitative? zip code jersey number social security number phone number AP Statistics 2014-2015

18 ap stats exam tip If you learn to distinguish categorical from quantitative variables now, it will pay big rewards later. AP Statistics 2014-2015

19 Census at School: Data, Individuals, and Variables ProvinceGender Language Spoken HandedHeight (cm) Wrist circum. (mm) Preferred Communication SaskatchewanMale1Right175180In person OntarioFemale1Right162.5160In person AlbertaMale1Right178174Facebook OntarioMale2Right169160Cell phone OntarioFemale2Right16665In person NunavutMale1Right168.5160Text messaging OntarioFemale1Right166165Cell phone OntarioMale4Left157.5147Text messaging OntarioFemale2Right150.5187Text messaging OntarioFemale1Right171180Text messaging AP Statistics 2014-2015

20 Census at School: Data, Individuals, and Variables ProvinceGender Language Spoken HandedHeight (cm) Wrist circum. (mm) Preferred Communication SaskatchewanMale1Right175180In person OntarioFemale1Right162.5160In person AlbertaMale1Right178174Facebook OntarioMale2Right169160Cell phone OntarioFemale2Right16665In person NunavutMale1Right168.5160Text messaging OntarioFemale1Right166165Cell phone OntarioMale4Left157.5147Text messaging OntarioFemale2Right150.5187Text messaging OntarioFemale1Right171180Text messaging AP Statistics 2014-2015

21 Who are the individuals in this data set? ProvinceGender Language Spoken HandedHeight (cm) Wrist circum. (mm) Preferred Communication SaskatchewanMale1Right175180In person OntarioFemale1Right162.5160In person AlbertaMale1Right178174Facebook OntarioMale2Right169160Cell phone OntarioFemale2Right16665In person NunavutMale1Right168.5160Text messaging OntarioFemale1Right166165Cell phone OntarioMale4Left157.5147Text messaging OntarioFemale2Right150.5187Text messaging OntarioFemale1Right171180Text messaging AP Statistics 2014-2015

22 What variables were measured? Identify each as categorical or quantitative. ProvinceGender Language Spoken HandedHeight (cm) Wrist circum. (mm) Preferred Communication SaskatchewanMale1Right175180In person OntarioFemale1Right162.5160In person AlbertaMale1Right178174Facebook OntarioMale2Right169160Cell phone OntarioFemale2Right16665In person NunavutMale1Right168.5160Text messaging OntarioFemale1Right166165Cell phone OntarioMale4Left157.5147Text messaging OntarioFemale2Right150.5187Text messaging OntarioFemale1Right171180Text messaging AP Statistics 2014-2015

23 ProvinceGender Language Spoken HandedHeight (cm) Wrist circum. (mm) Preferred Communication SaskatchewanMale1Right175180In person OntarioFemale1Right162.5160In person AlbertaMale1Right178174Facebook OntarioMale2Right169160Cell phone OntarioFemale2Right16665In person NunavutMale1Right168.5160Text messaging OntarioFemale1Right166165Cell phone OntarioMale4Left157.5147Text messaging OntarioFemale2Right150.5187Text messaging OntarioFemale1Right171180Text messaging Categorical AP Statistics 2014-2015

24 ProvinceGender Language Spoken HandedHeight (cm) Wrist circum. (mm) Preferred Communication SaskatchewanMale1Right175180In person OntarioFemale1Right162.5160In person AlbertaMale1Right178174Facebook OntarioMale2Right169160Cell phone OntarioFemale2Right16665In person NunavutMale1Right168.5160Text messaging OntarioFemale1Right166165Cell phone OntarioMale4Left157.5147Text messaging OntarioFemale2Right150.5187Text messaging OntarioFemale1Right171180Text messaging Categorical AP Statistics 2014-2015

25 ProvinceGender Language Spoken HandedHeight (cm) Wrist circum. (mm) Preferred Communication SaskatchewanMale1Right175180In person OntarioFemale1Right162.5160In person AlbertaMale1Right178174Facebook OntarioMale2Right169160Cell phone OntarioFemale2Right16665In person NunavutMale1Right168.5160Text messaging OntarioFemale1Right166165Cell phone OntarioMale4Left157.5147Text messaging OntarioFemale2Right150.5187Text messaging OntarioFemale1Right171180Text messaging Quantitative AP Statistics 2014-2015

26 ProvinceGender Language Spoken HandedHeight (cm) Wrist circum. (mm) Preferred Communication SaskatchewanMale1Right175180In person OntarioFemale1Right162.5160In person AlbertaMale1Right178174Facebook OntarioMale2Right169160Cell phone OntarioFemale2Right16665In person NunavutMale1Right168.5160Text messaging OntarioFemale1Right166165Cell phone OntarioMale4Left157.5147Text messaging OntarioFemale2Right150.5187Text messaging OntarioFemale1Right171180Text messaging Categorical AP Statistics 2014-2015

27 ProvinceGender Language Spoken HandedHeight (cm) Wrist circum. (mm) Preferred Communication SaskatchewanMale1Right175180In person OntarioFemale1Right162.5160In person AlbertaMale1Right178174Facebook OntarioMale2Right169160Cell phone OntarioFemale2Right16665In person NunavutMale1Right168.5160Text messaging OntarioFemale1Right166165Cell phone OntarioMale4Left157.5147Text messaging OntarioFemale2Right150.5187Text messaging OntarioFemale1Right171180Text messaging Quantitative AP Statistics 2014-2015

28 ProvinceGender Language Spoken HandedHeight (cm) Wrist circum. (mm) Preferred Communication SaskatchewanMale1Right175180In person OntarioFemale1Right162.5160In person AlbertaMale1Right178174Facebook OntarioMale2Right169160Cell phone OntarioFemale2Right16665In person NunavutMale1Right168.5160Text messaging OntarioFemale1Right166165Cell phone OntarioMale4Left157.5147Text messaging OntarioFemale2Right150.5187Text messaging OntarioFemale1Right171180Text messaging Quantitative AP Statistics 2014-2015

29 ProvinceGender Language Spoken HandedHeight (cm) Wrist circum. (mm) Preferred Communication SaskatchewanMale1Right175180In person OntarioFemale1Right162.5160In person AlbertaMale1Right178174Facebook OntarioMale2Right169160Cell phone OntarioFemale2Right16665In person NunavutMale1Right168.5160Text messaging OntarioFemale1Right166165Cell phone OntarioMale4Left157.5147Text messaging OntarioFemale2Right150.5187Text messaging OntarioFemale1Right171180Text messaging Categorical AP Statistics 2014-2015

30 Describe the individual in the highlighted row. ProvinceGender Language Spoken HandedHeight (cm) Wrist circum. (mm) Preferred Communication SaskatchewanMale1Right175180In person OntarioFemale1Right162.5160In person AlbertaMale1Right178174Facebook OntarioMale2Right169160Cell phone OntarioFemale2Right16665In person NunavutMale1Right168.5160Text messaging OntarioFemale1Right166165Cell phone OntarioMale4Left157.5147Text messaging OntarioFemale2Right150.5187Text messaging OntarioFemale1Right171180Text messaging AP Statistics 2014-2015

31 ProvinceGender Language Spoken HandedHeight (cm) Wrist circum. (mm) Preferred Communication SaskatchewanMale1Right175180In person OntarioFemale1Right162.5160In person AlbertaMale1Right178174Facebook OntarioMale2Right169160Cell phone OntarioFemale2Right16665In person NunavutMale1Right168.5160Text messaging OntarioFemale1Right166165Cell phone OntarioMale4Left157.5147Text messaging OntarioFemale2Right150.5187Text messaging OntarioFemale1Right171180Text messaging AP Statistics 2014-2015

32 ProvinceGender Language Spoken HandedHeight (cm) Wrist circum. (mm) Preferred Communication SaskatchewanMale1Right175180In person OntarioFemale1Right162.5160In person AlbertaMale1Right178174Facebook OntarioMale2Right169160Cell phone OntarioFemale2Right16665In person NunavutMale1Right168.5160Text messaging OntarioFemale1Right166165Cell phone OntarioMale4Left157.5147Text messaging OntarioFemale2Right150.5187Text messaging OntarioFemale1Right171180Text messaging AP Statistics 2014-2015

33 ProvinceGender Language Spoken HandedHeight (cm) Wrist circum. (mm) Preferred Communication SaskatchewanMale1Right175180In person OntarioFemale1Right162.5160In person AlbertaMale1Right178174Facebook OntarioMale2Right169160Cell phone OntarioFemale2Right16665In person NunavutMale1Right168.5160Text messaging OntarioFemale1Right166165Cell phone OntarioMale4Left157.5147Text messaging OntarioFemale2Right150.5187Text messaging OntarioFemale1Right171180Text messaging AP Statistics 2014-2015

34 ProvinceGender Language Spoken HandedHeight (cm) Wrist circum. (mm) Preferred Communication SaskatchewanMale1Right175180In person OntarioFemale1Right162.5160In person AlbertaMale1Right178174Facebook OntarioMale2Right169160Cell phone OntarioFemale2Right16665In person NunavutMale1Right168.5160Text messaging OntarioFemale1Right166165Cell phone OntarioMale4Left157.5147Text messaging OntarioFemale2Right150.5187Text messaging OntarioFemale1Right171180Text messaging AP Statistics 2014-2015

35 DISTRIBUTION: the values a variable takes, and how often it takes these values AP Statistics 2014-2015

36 check your understanding AP Statistics 2014-2015

37 ModelYearColor Number Cylinders Gas Mileage Weight Navigation System check your understanding AP Statistics 2014-2015

38 who are the individuals? ModelYearColor Number Cylinders Gas Mileage Weight Navigation System AP Statistics 2014-2015

39 what variables are measured? ModelYearColor Number Cylinders Gas Mileage Weight Navigation System AP Statistics 2014-2015

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