Name
'--Cÿ 'ÿ Period
Categorical vs, Quantitative Variables
Categorical Graphs
,
Data from a medical study contain values of many variables for each of the people who were the
subjects of the study, Which of the following variables are categorical and which are quantitative?
If you believe a variable to be quantitative, further decide if it is discrete (can be counted) or
continuous (must be measured).
(a) Gender (female or male) ÿ z ÿ ÿ, .
(b) Age (years) CÿI.)ÿ I ,ÿÿ ÿ ÿ '[ ÿ {ÿ ÿ'. O(ÿ:, ÿr {ÿ' .ÿ ÿi..
(c) Race (ÿ",ÿt<ÿ C ÿ'0 ÿ{
(d) Smoker (yes or no) Cÿ!ÿ.ÿ,C ÿCÿ ÿ Iÿ ÿ'ÿ>ÿ t
(e) Systolic blood pressure (millimeters of mercury) ÿ,)ÿ ÿ r,ÿ ÿ'ÿ ÿ.k ÿ,{ ÿ ("ÿ,.,.ÿ i ,, ÿ ÿ., ÿ. ÿ'ÿ,
(f) Level of calcium in the blood (micrograms per milliliter) ÿ\x(ÿ.,ÿ,tÿ,,ÿ ,ÿ ¢, (ÿct,iÿ.ÿ,ÿÿtÿ,ÿ,ÿ, ÿ..
,
A table represents data on the states, The first column identifies the states, Each of the
remaining seven columns contains values of a variable, Which of these variables are categorical and
which are quantitative? If quantitative state whether it is discrete or continuous.
(a) Region of the country {ÿ{[).[ ÿ:,,,-ÿ ÿl ÿ , ÿ ÿ ÿ
(b) Population (in thousands of people) (ÿ,)ÿ ÿ.ÿ ÿ\,ÿ, i.ÿ ÿ ÿ (',ÿ ÿ:', tÿ)( .ÿ,ÿ' '¢ÿ' ÿ ,,;ÿ:.,
(c) SAT verbal state average ÿ?ÿ ÿ4 ÿ, ÿ, ÿ' ÿ ÿ. ,, ÿ ÿ. ÿ ÿ- .,ÿjÿ!,, ÿ, ÿ ÿ <ÿ, ,ÿ ,,
(d) SAT math state average ÿk.ÿtÿv\,tÿ'.'ÿ'tÿ'ÿ(!ÿ (ÿ<'ÿ'/ÿ,lÿ,ÿ'v\ÿ.,,ÿ',,ÿi'
(e) Percent of students in state taking SAT Cÿ ÿ,ÿ. ÿlÿ ÿ," ( 'ÿ.ÿ i , ÿ," 'ÿ,ÿ.ÿ,ÿ, ...... ,ÿ, ÿ ! '
(f) Dollars spent on public education per pupil ('ÿ)ÿ ÿ. (;ÿ/ÿ I' tÿ 'ÿ, ÿ 'ÿ ÿ"ÿ (}ÿ >tÿ, ,'ÿ ÿ., ÿ,: ÿ::
(g) Average teacher's pay (in thousands of dollars) ( 'iÿ ÿ.ÿ ÿ,,,ÿ' ;'ÿ, ÿ .ÿ,, ÿ.! ÿ' 'ÿ, ÿ'. ÿ ÿ ÿ,ÿ*' i'! , ÿ;ÿ ÿ:.ÿ
