Variable a Temperature in degrees Celsius b Total elapsed ti

Variable

(a) Temperature (in degrees Celsius)

(b) Total elapsed time (in seconds) for completion of an assembly line operation

(c) Medal won in a recent race (gold, silver, bronze, or none)

each of the variables described below, indicate whether it is a quantitative or a categorical (qualitative) variable. Also, indicate the level of measurement for the variable: nominal, ordinal, interval, or ratio. Make sure your responses are the most specific possible.

Solution

Variable

(a) Temperature (in degrees Celsius)

(b) Total elapsed time (in seconds) for completion of an assembly line operation

(c) Medal won in a recent race (gold, silver, bronze, or none)

Quantitative:-A variable is quantitative if it is represented by pure numerical values.Example :- Age, Length etc.

Categorical:- A variable is categorical if it can be categorised into fixed number of categories. Example:- Gender, Colour, etc.

Nominal:- for nominal variable the data can only be classified into different categories.

Ordinal:- for ordinal variable data can be ordered or ranked

Interval :- For interval Variables the difeerence between data makes sense and provides useful information.

Ratio:- A ratio variable has a meaningful 0 and ratio between values gives useful information.

Variable

Type of variable Level of measurement

(a) Temperature (in degrees Celsius)

quantitative Interval.

(b) Total elapsed time (in seconds) for completion of an assembly line operation

quantitative Ratio

(c) Medal won in a recent race (gold, silver, bronze, or none)

categorical Nominal
Variable (a) Temperature (in degrees Celsius) (b) Total elapsed time (in seconds) for completion of an assembly line operation (c) Medal won in a recent race (g

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