QUESTION IMAGE
Question
classification of variables and levels of measurement
(a) temperature (in degrees fahrenheit)
(b) type of shirt on the clearance rack (long - sleeved with collar, long - sleeved without collar, short - sleeved with collar, or short - sleeved without collar)
(c) amount (in fluid ounces) of coffee in a cup dispensed by a vending machine
Brief Explanations
- For (a) Temperature (in degrees Fahrenheit):
- Temperature is a numerical measurement. So, it is quantitative.
- Degrees Fahrenheit has an arbitrary zero - point (the zero on the Fahrenheit scale does not mean the absence of temperature). So, it is an interval level of measurement.
- For (b) Type of shirt on the clearance rack:
- The types of shirts are non - numerical categories. So, it is categorical.
- There is no inherent order in the types of shirts (e.g., long - sleeved with collar is not "more" or "less" than short - sleeved without collar in a meaningful numerical order). So, it is a nominal level of measurement.
- For (c) Amount (in fluid ounces) of coffee in a cup dispensed by a vending machine:
- Fluid ounces is a numerical measurement. So, it is quantitative.
- Zero fluid ounces means there is no coffee. So, it has a true zero - point and is a ratio level of measurement.
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(a) Quantitative, Interval
(b) Categorical, Nominal
(c) Quantitative, Ratio