STA 100: Homework 1
Due: 8:50am, Wed 12th January
Assigned: Wednesday, 5th January
For all questions you must show your working.
This enables us to understand your
thought process, give partial credit and prevent crude cheating. Please see the code
of the conduct in the Syllabus for rules about collaborating on homeworks.
1.
Examine the flow chart below. Write short questions for the boxes (a)(d), that would help
a researcher to classify different types of data.
(a)
Continuous
Discrete
(b)
(c)
Bounded
Continuous
Unbounded
Continuous
Numeric
Discrete
Categorical
Discrete
(d)
Ordered
Categorical
Unordered
Categorical
(NOTE: Answers like ‘Is it discrete or continuous?’ do not count! Your ques
tions must ask about properties of the data. See Fig. 8.13, pg 308 of Rosner
for an example – although you can be more verbose than the example.)
(a) – Given any two observations, is it possible to obtain an observation with a value between
those two? If yes, you have continuous data.
(b) – Is there a limit to how big or small the value of an observation can be? If Yes, you have
bounded continuous data.
(c) – Are you measuring the value of something? If yes, you have numeric discrete data.
(d) – Is there a natural order to the observed categories? If yes, you have ordered categorical
data.
For each of the five terminal nodes (bounded continuous, unbounded continuous, numeric
discrete, ordered categorical, unordered categorical):
1
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(e)
State whether it is a quantitative or qualitative variable.
Quantitative:
bounded continuous, unbounded continuous, numeric discrete, discrete
Qualitative:
ordered categorical, unordered categorical
(f)
Provide an example variable of that type.
Bounded Continuous:
Percentage of patients cured by a certain drug.
Unbounded Continuous:
The number of minutes a bus is either early or late.
Numeric Discrete:
The number of pineapples eaten in a sitting.
Ordered Categorical:
Letter grade of students in a statistics class.
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 Fall '10
 DRAKE
 Standard Deviation, Variance, Mean, Rosner

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