Question

3. Classify each of the following variables as either qualitative, quantitative discrete, or quantitative continuous.

(a) The amount of time it takes to assemble a piece of furniture from IKEA.

(b) The number students who identify as female in STAT 2507 B during the Summer 2020 semester.

(c) The province or territory where somebody lives in Canada.

(d) The weight of a newborn infant.

(e) A person’s lucky number. (e.g. My lucky number is 5.)

Answer 1

SOLUTION:

There are two types of Variabes

1.Quantitative(continuos or discrete).

Quantitative variables take numerical values, and represent some kind of measurement.

• Discrete, when the variable takes on a countable number of values.

In general, a Discrete variable is one that is counted.

• Continuous, when the variable can take on any value in some range of values.

In general, a continuous variable is one that is measured, not counted. for example: Height, Weight ,Temperature, time, distance - all are continuous variables.

2.Qualitative/Categorical Variable(nominal or ordinal).

• Nominal, when there is no natural ordering among the categories,such as gender,eye colour etc.

• Ordinal, when there is a natural order among the categories, such as, ranking scales or letter grades.

. Now,Classify each of the following variables as either qualitative, quantitative discrete, or quantitative continuous.

(a) The amount of time it takes to assemble a piece of furniture from IKEA is a Quantitative Continuous Variable.

(b) The number students who identify as female in STAT 2507 B during the Summer 2020 semester is a Quantitative Discrete Variable.

(c) The province or territory where somebody lives in Canada is a Categorical/Qualitative Variable(nominal).

(d) The weight of a newborn infant is a Quantitative Continuous Variable.

(e) A person’s lucky number is a Quantitative Discrete Variable.