Question

In: Statistics and Probability

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

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.)

Solutions

Expert Solution

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.


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