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Exploring DATAIndividuals and VariablesVariable Types
AP Statistics 2014-2015
do pets or friends help reduce stress?
AP Statistics2014-2015
Average heart rates during stress with a pet (P), with a friend (F), and for the control
group (C)Group Rate Group Rate Group Rate Group Rate
P 69.169 P 68.862 C 84.738 C 75.477F 99.692 C 87.231 C 84.877 C 62.646
P70.169 P 64.169 P 58.692 P 70.077
C 80.369 C 91.754 P 79.662 F 88.015C 87.446 C 87.785 P 69.231 F 81.600P 75.985 F 91.354 C 73.277 F 86.985
F 83.400 F100.87
7C 84.523 F 92.492
F102.15
4C 77.800 C 70.877 P 72.262
P 86.446 P 97.538 F 89.815 P 65.446F 80.277 P 85.000 F 98.200
C 90.015 F101.06
2F 76.908
C 99.046 F 97.046 P 69.538AP Statistics
2014-2015
Average heart rates during stress with a pet (P), with a friend (F), and for the control group (C)
Group Rate Group Rate Group Rate Group Rate
P 69.169 P 68.862 C 84.738 C 75.477F 99.692 C 87.231 C 84.877 C 62.646
P
70.169 P 64.169 P 58.692 P 70.077
C 80.369 C 91.754 P 79.662 F 88.015C 87.446 C 87.785 P 69.231 F 81.600P 75.985 F 91.354 C 73.277 F 86.985F 83.400 F 100.877 C 84.523 F 92.492F 102.154 C 77.800 C 70.877 P 72.262P 86.446 P 97.538 F 89.815 P 65.446F 80.277 P 85.000 F 98.200C 90.015 F 101.062 F 76.908C 99.046 F 97.046 P 69.538
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
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
people animals things
individuals: objects described by data
AP Statistics 2014-2015
gender
race
hair color
age
height
grade level
birth month
eye color
variable: any characteristic of an individual
AP Statistics 2014-2015
variable: any characteristic of an individual
$$ amoun
tmetal
weight
color
dia-meter
age
year
coin type
AP Statistics 2014-2015
meet the data
AP Statistics 2014-2015
meet the data
ask yourself…
WHOare the
individuals?
WHATare the
variables?
AP Statistics 2014-2015
gender
race
hair color
age
height
grade level
birth month
eye color
AP Statistics 2014-2015
gender
race
hair color
age
height
grade level
birth month
eye color
MaleFemaleMaleMale
Female
GENDER
1st 1st2nd1st2nd
GRADE LEVEL
AP Statistics 2014-2015
gender
race
hair color
age
height
grade level
birth month
eye color
AP Statistics 2014-2015
gender
race
hair color
age
height
grade level
birth month
eye color
(6 + 7 + 7 + 6 + 7) = 6.6Average Age: 6.6
AGE
(38” + 42” + 44” + 39” + 42”) = 205”
Average Height: 41”
HEIGHT
AP Statistics 2014-2015
variable types
CATEG
OR
ICA
Lplaces an
individual into a “category”
gender
hair color
eye color
race
QU
AN
TIT
ATIV
E
makes sense to take the
“average”
age
weight
height
shoe size
AP Statistics 2014-2015
Just because a variable takes a
numerical value, does that automatically
mean it’s quantitative?
AP Statistics 2014-2015
Just because a variable takes a numerical value,
does that automatically mean
it’s quantitative?
zip code
jerseynumbe
r
social security number
phone numbe
r
AP Statistics 2014-2015
ap stats exam tipIf you learn to
distinguish categorical from quantitative
variables now, it will pay big rewards later.
AP Statistics 2014-2015
Census at School: Data, Individuals, and Variables
Province GenderLanguage Spoken
HandedHeight (cm)
Wrist circum. (mm)
Preferred Communication
Saskatchewan Male 1 Right 175 180 In person
Ontario Female 1 Right 162.5 160 In person
Alberta Male 1 Right 178 174 Facebook
Ontario Male 2 Right 169 160 Cell phone
Ontario Female 2 Right 166 65 In person
Nunavut Male 1 Right 168.5 160 Text messaging
Ontario Female 1 Right 166 165 Cell phone
Ontario Male 4 Left 157.5 147 Text messaging
Ontario Female 2 Right 150.5 187 Text messaging
Ontario Female 1 Right 171 180 Text messaging
AP Statistics 2014-2015
Census at School: Data, Individuals, and Variables
Province GenderLanguage Spoken
HandedHeight (cm)
Wrist circum. (mm)
Preferred Communication
Saskatchewan Male 1 Right 175 180 In person
Ontario Female 1 Right 162.5 160 In person
Alberta Male 1 Right 178 174 Facebook
Ontario Male 2 Right 169 160 Cell phone
Ontario Female 2 Right 166 65 In person
Nunavut Male 1 Right 168.5 160 Text messaging
Ontario Female 1 Right 166 165 Cell phone
Ontario Male 4 Left 157.5 147 Text messaging
Ontario Female 2 Right 150.5 187 Text messaging
Ontario Female 1 Right 171 180 Text messaging
AP Statistics 2014-2015
Who are the individuals in this data set?
Province GenderLanguage Spoken
HandedHeight (cm)
Wrist circum. (mm)
Preferred Communication
Saskatchewan Male 1 Right 175 180 In person
Ontario Female 1 Right 162.5 160 In person
Alberta Male 1 Right 178 174 Facebook
Ontario Male 2 Right 169 160 Cell phone
Ontario Female 2 Right 166 65 In person
Nunavut Male 1 Right 168.5 160 Text messaging
Ontario Female 1 Right 166 165 Cell phone
Ontario Male 4 Left 157.5 147 Text messaging
Ontario Female 2 Right 150.5 187 Text messaging
Ontario Female 1 Right 171 180 Text messaging
AP Statistics 2014-2015
What variables were measured?Identify each as categorical or
quantitative.Province Gender
Language Spoken
HandedHeight (cm)
Wrist circum. (mm)
Preferred Communication
Saskatchewan Male 1 Right 175 180 In person
Ontario Female 1 Right 162.5 160 In person
Alberta Male 1 Right 178 174 Facebook
Ontario Male 2 Right 169 160 Cell phone
Ontario Female 2 Right 166 65 In person
Nunavut Male 1 Right 168.5 160 Text messaging
Ontario Female 1 Right 166 165 Cell phone
Ontario Male 4 Left 157.5 147 Text messaging
Ontario Female 2 Right 150.5 187 Text messaging
Ontario Female 1 Right 171 180 Text messaging
AP Statistics 2014-2015
Province GenderLanguage Spoken
HandedHeight (cm)
Wrist circum. (mm)
Preferred Communication
Saskatchewan Male 1 Right 175 180 In person
Ontario Female 1 Right 162.5 160 In person
Alberta Male 1 Right 178 174 Facebook
Ontario Male 2 Right 169 160 Cell phone
Ontario Female 2 Right 166 65 In person
Nunavut Male 1 Right 168.5 160 Text messaging
Ontario Female 1 Right 166 165 Cell phone
Ontario Male 4 Left 157.5 147 Text messaging
Ontario Female 2 Right 150.5 187 Text messaging
Ontario Female 1 Right 171 180 Text messaging
Categorical
AP Statistics 2014-2015
Province GenderLanguage Spoken
HandedHeight (cm)
Wrist circum. (mm)
Preferred Communication
Saskatchewan Male 1 Right 175 180 In person
Ontario Female 1 Right 162.5 160 In person
Alberta Male 1 Right 178 174 Facebook
Ontario Male 2 Right 169 160 Cell phone
Ontario Female 2 Right 166 65 In person
Nunavut Male 1 Right 168.5 160 Text messaging
Ontario Female 1 Right 166 165 Cell phone
Ontario Male 4 Left 157.5 147 Text messaging
Ontario Female 2 Right 150.5 187 Text messaging
Ontario Female 1 Right 171 180 Text messaging
Categorical
AP Statistics 2014-2015
Province GenderLanguage Spoken
HandedHeight (cm)
Wrist circum. (mm)
Preferred Communication
Saskatchewan Male 1 Right 175 180 In person
Ontario Female 1 Right 162.5 160 In person
Alberta Male 1 Right 178 174 Facebook
Ontario Male 2 Right 169 160 Cell phone
Ontario Female 2 Right 166 65 In person
Nunavut Male 1 Right 168.5 160 Text messaging
Ontario Female 1 Right 166 165 Cell phone
Ontario Male 4 Left 157.5 147 Text messaging
Ontario Female 2 Right 150.5 187 Text messaging
Ontario Female 1 Right 171 180 Text messaging
Quantitative
AP Statistics 2014-2015
Province GenderLanguage Spoken
HandedHeight (cm)
Wrist circum. (mm)
Preferred Communication
Saskatchewan Male 1 Right 175 180 In person
Ontario Female 1 Right 162.5 160 In person
Alberta Male 1 Right 178 174 Facebook
Ontario Male 2 Right 169 160 Cell phone
Ontario Female 2 Right 166 65 In person
Nunavut Male 1 Right 168.5 160 Text messaging
Ontario Female 1 Right 166 165 Cell phone
Ontario Male 4 Left 157.5 147 Text messaging
Ontario Female 2 Right 150.5 187 Text messaging
Ontario Female 1 Right 171 180 Text messaging
Categorical
AP Statistics 2014-2015
Province GenderLanguage Spoken
HandedHeight (cm)
Wrist circum. (mm)
Preferred Communication
Saskatchewan Male 1 Right 175 180 In person
Ontario Female 1 Right 162.5 160 In person
Alberta Male 1 Right 178 174 Facebook
Ontario Male 2 Right 169 160 Cell phone
Ontario Female 2 Right 166 65 In person
Nunavut Male 1 Right 168.5 160 Text messaging
Ontario Female 1 Right 166 165 Cell phone
Ontario Male 4 Left 157.5 147 Text messaging
Ontario Female 2 Right 150.5 187 Text messaging
Ontario Female 1 Right 171 180 Text messaging
Quantitative
AP Statistics 2014-2015
Province GenderLanguage Spoken
HandedHeight (cm)
Wrist circum. (mm)
Preferred Communication
Saskatchewan Male 1 Right 175 180 In person
Ontario Female 1 Right 162.5 160 In person
Alberta Male 1 Right 178 174 Facebook
Ontario Male 2 Right 169 160 Cell phone
Ontario Female 2 Right 166 65 In person
Nunavut Male 1 Right 168.5 160 Text messaging
Ontario Female 1 Right 166 165 Cell phone
Ontario Male 4 Left 157.5 147 Text messaging
Ontario Female 2 Right 150.5 187 Text messaging
Ontario Female 1 Right 171 180 Text messaging
Quantitative
AP Statistics 2014-2015
Province GenderLanguage Spoken
HandedHeight (cm)
Wrist circum. (mm)
Preferred Communication
Saskatchewan Male 1 Right 175 180 In person
Ontario Female 1 Right 162.5 160 In person
Alberta Male 1 Right 178 174 Facebook
Ontario Male 2 Right 169 160 Cell phone
Ontario Female 2 Right 166 65 In person
Nunavut Male 1 Right 168.5 160 Text messaging
Ontario Female 1 Right 166 165 Cell phone
Ontario Male 4 Left 157.5 147 Text messaging
Ontario Female 2 Right 150.5 187 Text messaging
Ontario Female 1 Right 171 180 Text messaging
Categorical
AP Statistics 2014-2015
Describe the individual in the highlighted row.
Province GenderLanguage Spoken
HandedHeight (cm)
Wrist circum. (mm)
Preferred Communication
Saskatchewan Male 1 Right 175 180 In person
Ontario Female 1 Right 162.5 160 In person
Alberta Male 1 Right 178 174 Facebook
Ontario Male 2 Right 169 160 Cell phone
Ontario Female 2 Right 166 65 In person
Nunavut Male 1 Right 168.5 160 Text messaging
Ontario Female 1 Right 166 165 Cell phone
Ontario Male 4 Left 157.5 147 Text messaging
Ontario Female 2 Right 150.5 187 Text messaging
Ontario Female 1 Right 171 180 Text messaging
AP Statistics 2014-2015
Province GenderLanguage Spoken
HandedHeight (cm)
Wrist circum. (mm)
Preferred Communication
Saskatchewan Male 1 Right 175 180 In person
Ontario Female 1 Right 162.5 160 In person
Alberta Male 1 Right 178 174 Facebook
Ontario Male 2 Right 169 160 Cell phone
Ontario Female 2 Right 166 65 In person
Nunavut Male 1 Right 168.5 160 Text messaging
Ontario Female 1 Right 166 165 Cell phone
Ontario Male 4 Left 157.5 147 Text messaging
Ontario Female 2 Right 150.5 187 Text messaging
Ontario Female 1 Right 171 180 Text messaging
AP Statistics 2014-2015
Province GenderLanguage Spoken
HandedHeight (cm)
Wrist circum. (mm)
Preferred Communication
Saskatchewan Male 1 Right 175 180 In person
Ontario Female 1 Right 162.5 160 In person
Alberta Male 1 Right 178 174 Facebook
Ontario Male 2 Right 169 160 Cell phone
Ontario Female 2 Right 166 65 In person
Nunavut Male 1 Right 168.5 160 Text messaging
Ontario Female 1 Right 166 165 Cell phone
Ontario Male 4 Left 157.5 147 Text messaging
Ontario Female 2 Right 150.5 187 Text messaging
Ontario Female 1 Right 171 180 Text messaging
AP Statistics2014-2015
Province GenderLanguage Spoken
HandedHeight (cm)
Wrist circum. (mm)
Preferred Communication
Saskatchewan Male 1 Right 175 180 In person
Ontario Female 1 Right 162.5 160 In person
Alberta Male 1 Right 178 174 Facebook
Ontario Male 2 Right 169 160 Cell phone
Ontario Female 2 Right 166 65 In person
Nunavut Male 1 Right 168.5 160 Text messaging
Ontario Female 1 Right 166 165 Cell phone
Ontario Male 4 Left 157.5 147 Text messaging
Ontario Female 2 Right 150.5 187 Text messaging
Ontario Female 1 Right 171 180 Text messaging
AP Statistics 2014-2015
Province GenderLanguage Spoken
HandedHeight (cm)
Wrist circum. (mm)
Preferred Communication
Saskatchewan Male 1 Right 175 180 In person
Ontario Female 1 Right 162.5 160 In person
Alberta Male 1 Right 178 174 Facebook
Ontario Male 2 Right 169 160 Cell phone
Ontario Female 2 Right 166 65 In person
Nunavut Male 1 Right 168.5 160 Text messaging
Ontario Female 1 Right 166 165 Cell phone
Ontario Male 4 Left 157.5 147 Text messaging
Ontario Female 2 Right 150.5 187 Text messaging
Ontario Female 1 Right 171 180 Text messaging
AP Statistics 2014-2015
DISTRIBUTION:the values a
variable takes, and how often it
takes these values
AP Statistics 2014-2015
check your understanding
AP Statistics 2014-2015
Model Year ColorNumber
CylindersGas
MileageWeight
Navigation System
check your understanding
AP Statistics2014-2015
who are the individuals?Model Year Color
Number Cylinders
Gas Mileage
WeightNavigation System
AP Statistics 2014-2015
what variables are measured?
Model Year ColorNumber
CylindersGas
MileageWeight
Navigation System
AP Statistics 2014-2015
