Identify the following variables as : “purely categorical” (or qualitative), “ca
ID: 3275591 • Letter: I
Question
Identify the following variables as : “purely categorical” (or qualitative), “categorical and ranked”, “quantitative and discrete” or “quantitative and continuous”.
a) the number of students who get a final grade greater than 80%
b) dress size: 3, 5, 7, 9, 11, 13, 15, 17
c) political affiliation (Liberals, Conservatives, NDP, Green, Independent)
d) taste ranking (excellent, good, fair, poor)
e) the door chosen by a rat in a maze experiment (A, B or C)
f) the winning time for a horse running at the racetrack
g) number of children in grade 5 who are reading at or above grade level
Explanation / Answer
Data can be qualitative(when they have nothing to do with numbers). Qualitative can also be ranked when the non numerical data is categorised in terms of certain variables(grades or survey answers- good, bad, fair, poor). Quantitative data are those which are numerical based and can be either continuous or discrete. Continuous data are those where numbers can take a decimal form like time, measurements of height or discrete data which can only take integer values like number of students.
a) the number of students who get a final grade greater than 80%----Quantitative and Discrete
b) dress size: 3, 5, 7, 9, 11, 13, 15, 17----Quantitative and Discrete
c) political affiliation (Liberals, Conservatives, NDP, Green, Independent)------Qualitative(Purely Categorical)
d) taste ranking (excellent, good, fair, poor)----Categorical and Ranked
e) the door chosen by a rat in a maze experiment (A, B or C)--- Qualitative (Purely Categorical)
f) the winning time for a horse running at the racetrack---Quantitative and Continuous
g) number of children in grade 5 who are reading at or above grade level--- Quantitative and Discrete