Quantitative or Qualitative? Identify each variable as quantitative or qualitative:
a. Ethnic origin of a candidate for public office
b. Score (0−100) on a placement examination
c. Fast-food restaurant preferred by a student(McDonald’s, Burger King, or Carl’s Jr.)
d. Mercury concentration in a sample of tuna
(a)
Whether the given variable is qualitative or quantitative.
Answer to Problem 1RWYL
Qualitative
Explanation of Solution
Given information:
A statistical variable is given as - Ethnic origin of a candidate for a Public office.
Calculation:
A statistical variable is a characteristic that changes/varies over time for the objects under consideration.
An experimental unit is the individual or object on which a variable is measured.
Variables are of two types -
Given statistical variable is - Ethnic origin of a candidate for a Public office.
Here, ethnicity is being measured which is qualitative in nature.
Hence, nature of given variable is qualitative.
(b)
Whether the given variable is qualitative or quantitative.
Answer to Problem 1RWYL
Quantitative
Explanation of Solution
Given information:
A statistical variable is given as - Score
Calculation:
A statistical variable is a characteristic that changes/varies over time for the objects under consideration.
An experimental unit is the individual or object on which a variable is measured.
Variables are of two types -
Given statistical variable is - Score
Here, test is being measured which is quantitative in nature.
Hence, nature of given variable is quantitative.
(c)
Whether the given variable is qualitative or quantitative.
Answer to Problem 1RWYL
Qualitative
Explanation of Solution
Given information:
A statistical variable is given as - Fast food restaurant preferred by students (McDonald's, Burger Kings, or Carl's Jr.)
Calculation:
A statistical variable is a characteristic that changes/varies over time for the objects under consideration.
An experimental unit is the individual or object on which a variable is measured.
Variables are of two types -
Given statistical variable is - Fast food restaurant preferred by students (McDonald's, Burger Kings, or Carl's Jr.)
Here, food preference of students is being measured which is qualitative in nature.
Hence, nature of given variable is qualitative.
(d)
Whether the given variable is qualitative or quantitative.
Answer to Problem 1RWYL
Quantitative
Explanation of Solution
Given information:
A statistical variable is given as - Mercury concentration in a sample of Tuna.
Calculation:
A statistical variable is a characteristic that changes/varies over time for the objects under consideration.
An experimental unit is the individual or object on which a variable is measured.
Variables are of two types -
Given statistical variable is - Mercury concentration in a sample of Tuna.
Here, mercury concentration in a sample of Tuna is being measured which is quantitative in nature.
Hence, nature of given variable is quantitative.
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Chapter 1 Solutions
Introduction To Probability And Statistics
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