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

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Exploring DATA Individuals and Variables Variable Types AP Statistics

do pets or friends help reduce stress? AP Statistics

Average heart rates during stress with a pet (P), with a friend (F), and for the control group (C) GroupRateGroupRateGroupRateGroupRate P69.169P68.862C84.738C F99.692C87.231C84.877C P P64.169P58.692P C80.369C91.754P79.662F C87.446C87.785P69.231F P75.985F91.354C73.277F F83.400F C84.523F F C77.800C70.877P P86.446P97.538F89.815P F80.277P85.000F C90.015F F C99.046F97.046P AP Statistics

Average heart rates during stress with a pet (P), with a friend (F), and for the control group (C) GroupRateGroupRateGroupRateGroupRate P69.169P68.862C84.738C F99.692C87.231C84.877C P P64.169P58.692P C80.369C91.754P79.662F C87.446C87.785P69.231F P75.985F91.354C73.277F F83.400F C84.523F F C77.800C70.877P P86.446P97.538F89.815P F80.277P85.000F C90.015F F C99.046F97.046P Based on the data, does it appear that the presence of a pet or friend reduces heart rate during a stressful task? AP Statistics

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

peopleanimalsthings individuals: objects described by data AP Statistics

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

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

meet the data AP Statistics

meet the data ask yourself… WHO are the individuals ? WHO are the individuals ? WHAT are the variables? WHAT are the variables? AP Statistics

gender race hair color age height grade level birth month eye color AP Statistics

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

gender race hair color age height grade level birth month eye color AP Statistics

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

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

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

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

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

Census at School: Data, Individuals, and Variables ProvinceGender Language Spoken HandedHeight (cm) Wrist circum. (mm) Preferred Communication SaskatchewanMale1Right175180In person OntarioFemale1Right In person AlbertaMale1Right178174Facebook OntarioMale2Right169160Cell phone OntarioFemale2Right16665In person NunavutMale1Right Text messaging OntarioFemale1Right166165Cell phone OntarioMale4Left Text messaging OntarioFemale2Right Text messaging OntarioFemale1Right171180Text messaging AP Statistics

Census at School: Data, Individuals, and Variables ProvinceGender Language Spoken HandedHeight (cm) Wrist circum. (mm) Preferred Communication SaskatchewanMale1Right175180In person OntarioFemale1Right In person AlbertaMale1Right178174Facebook OntarioMale2Right169160Cell phone OntarioFemale2Right16665In person NunavutMale1Right Text messaging OntarioFemale1Right166165Cell phone OntarioMale4Left Text messaging OntarioFemale2Right Text messaging OntarioFemale1Right171180Text messaging AP Statistics

Who are the individuals in this data set? ProvinceGender Language Spoken HandedHeight (cm) Wrist circum. (mm) Preferred Communication SaskatchewanMale1Right175180In person OntarioFemale1Right In person AlbertaMale1Right178174Facebook OntarioMale2Right169160Cell phone OntarioFemale2Right16665In person NunavutMale1Right Text messaging OntarioFemale1Right166165Cell phone OntarioMale4Left Text messaging OntarioFemale2Right Text messaging OntarioFemale1Right171180Text messaging AP Statistics

What variables were measured? Identify each as categorical or quantitative. ProvinceGender Language Spoken HandedHeight (cm) Wrist circum. (mm) Preferred Communication SaskatchewanMale1Right175180In person OntarioFemale1Right In person AlbertaMale1Right178174Facebook OntarioMale2Right169160Cell phone OntarioFemale2Right16665In person NunavutMale1Right Text messaging OntarioFemale1Right166165Cell phone OntarioMale4Left Text messaging OntarioFemale2Right Text messaging OntarioFemale1Right171180Text messaging AP Statistics

ProvinceGender Language Spoken HandedHeight (cm) Wrist circum. (mm) Preferred Communication SaskatchewanMale1Right175180In person OntarioFemale1Right In person AlbertaMale1Right178174Facebook OntarioMale2Right169160Cell phone OntarioFemale2Right16665In person NunavutMale1Right Text messaging OntarioFemale1Right166165Cell phone OntarioMale4Left Text messaging OntarioFemale2Right Text messaging OntarioFemale1Right171180Text messaging Categorical AP Statistics

ProvinceGender Language Spoken HandedHeight (cm) Wrist circum. (mm) Preferred Communication SaskatchewanMale1Right175180In person OntarioFemale1Right In person AlbertaMale1Right178174Facebook OntarioMale2Right169160Cell phone OntarioFemale2Right16665In person NunavutMale1Right Text messaging OntarioFemale1Right166165Cell phone OntarioMale4Left Text messaging OntarioFemale2Right Text messaging OntarioFemale1Right171180Text messaging Categorical AP Statistics

ProvinceGender Language Spoken HandedHeight (cm) Wrist circum. (mm) Preferred Communication SaskatchewanMale1Right175180In person OntarioFemale1Right In person AlbertaMale1Right178174Facebook OntarioMale2Right169160Cell phone OntarioFemale2Right16665In person NunavutMale1Right Text messaging OntarioFemale1Right166165Cell phone OntarioMale4Left Text messaging OntarioFemale2Right Text messaging OntarioFemale1Right171180Text messaging Quantitative AP Statistics

ProvinceGender Language Spoken HandedHeight (cm) Wrist circum. (mm) Preferred Communication SaskatchewanMale1Right175180In person OntarioFemale1Right In person AlbertaMale1Right178174Facebook OntarioMale2Right169160Cell phone OntarioFemale2Right16665In person NunavutMale1Right Text messaging OntarioFemale1Right166165Cell phone OntarioMale4Left Text messaging OntarioFemale2Right Text messaging OntarioFemale1Right171180Text messaging Categorical AP Statistics

ProvinceGender Language Spoken HandedHeight (cm) Wrist circum. (mm) Preferred Communication SaskatchewanMale1Right175180In person OntarioFemale1Right In person AlbertaMale1Right178174Facebook OntarioMale2Right169160Cell phone OntarioFemale2Right16665In person NunavutMale1Right Text messaging OntarioFemale1Right166165Cell phone OntarioMale4Left Text messaging OntarioFemale2Right Text messaging OntarioFemale1Right171180Text messaging Quantitative AP Statistics

ProvinceGender Language Spoken HandedHeight (cm) Wrist circum. (mm) Preferred Communication SaskatchewanMale1Right175180In person OntarioFemale1Right In person AlbertaMale1Right178174Facebook OntarioMale2Right169160Cell phone OntarioFemale2Right16665In person NunavutMale1Right Text messaging OntarioFemale1Right166165Cell phone OntarioMale4Left Text messaging OntarioFemale2Right Text messaging OntarioFemale1Right171180Text messaging Quantitative AP Statistics

ProvinceGender Language Spoken HandedHeight (cm) Wrist circum. (mm) Preferred Communication SaskatchewanMale1Right175180In person OntarioFemale1Right In person AlbertaMale1Right178174Facebook OntarioMale2Right169160Cell phone OntarioFemale2Right16665In person NunavutMale1Right Text messaging OntarioFemale1Right166165Cell phone OntarioMale4Left Text messaging OntarioFemale2Right Text messaging OntarioFemale1Right171180Text messaging Categorical AP Statistics

Describe the individual in the highlighted row. ProvinceGender Language Spoken HandedHeight (cm) Wrist circum. (mm) Preferred Communication SaskatchewanMale1Right175180In person OntarioFemale1Right In person AlbertaMale1Right178174Facebook OntarioMale2Right169160Cell phone OntarioFemale2Right16665In person NunavutMale1Right Text messaging OntarioFemale1Right166165Cell phone OntarioMale4Left Text messaging OntarioFemale2Right Text messaging OntarioFemale1Right171180Text messaging AP Statistics

ProvinceGender Language Spoken HandedHeight (cm) Wrist circum. (mm) Preferred Communication SaskatchewanMale1Right175180In person OntarioFemale1Right In person AlbertaMale1Right178174Facebook OntarioMale2Right169160Cell phone OntarioFemale2Right16665In person NunavutMale1Right Text messaging OntarioFemale1Right166165Cell phone OntarioMale4Left Text messaging OntarioFemale2Right Text messaging OntarioFemale1Right171180Text messaging AP Statistics

ProvinceGender Language Spoken HandedHeight (cm) Wrist circum. (mm) Preferred Communication SaskatchewanMale1Right175180In person OntarioFemale1Right In person AlbertaMale1Right178174Facebook OntarioMale2Right169160Cell phone OntarioFemale2Right16665In person NunavutMale1Right Text messaging OntarioFemale1Right166165Cell phone OntarioMale4Left Text messaging OntarioFemale2Right Text messaging OntarioFemale1Right171180Text messaging AP Statistics

ProvinceGender Language Spoken HandedHeight (cm) Wrist circum. (mm) Preferred Communication SaskatchewanMale1Right175180In person OntarioFemale1Right In person AlbertaMale1Right178174Facebook OntarioMale2Right169160Cell phone OntarioFemale2Right16665In person NunavutMale1Right Text messaging OntarioFemale1Right166165Cell phone OntarioMale4Left Text messaging OntarioFemale2Right Text messaging OntarioFemale1Right171180Text messaging AP Statistics

ProvinceGender Language Spoken HandedHeight (cm) Wrist circum. (mm) Preferred Communication SaskatchewanMale1Right175180In person OntarioFemale1Right In person AlbertaMale1Right178174Facebook OntarioMale2Right169160Cell phone OntarioFemale2Right16665In person NunavutMale1Right Text messaging OntarioFemale1Right166165Cell phone OntarioMale4Left Text messaging OntarioFemale2Right Text messaging OntarioFemale1Right171180Text messaging AP Statistics

DISTRIBUTION: the values a variable takes, and how often it takes these values AP Statistics

check your understanding AP Statistics

ModelYearColor Number Cylinders Gas Mileage Weight Navigation System check your understanding AP Statistics

who are the individuals? ModelYearColor Number Cylinders Gas Mileage Weight Navigation System AP Statistics

what variables are measured? ModelYearColor Number Cylinders Gas Mileage Weight Navigation System AP Statistics