Question Classify variables as quantitative or categorical: (a) customer satisfaction (very/somewhat satisfied/dissatisfied), (b) weight (in lbs) needed to break bridge cable, (c) cell phone service provider.
Studdy Solution
STEP 1
Definitions
1. Quantitative variables are variables that can be measured numerically. They represent a measurable quantity.
2. Categorical (qualitative) variables are variables that describe a quality or characteristic of a data unit, and are typically not numerical.
STEP 2
Identify the type of variable for (a) Customer satisfaction rating (very satisfied, somewhat satisfied, somewhat dissatisfied, or very dissatisfied).
1. The customer satisfaction rating is described by categories rather than numerical values.
2. These categories represent different levels of satisfaction and do not have a numerical measurement associated with them.
STEP 3
Determine the type of variable for (a) Customer satisfaction rating.
1. Since the customer satisfaction rating is described by categories and not by numerical values, it is a categorical variable.
STEP 4
Identify the type of variable for (b) Amount (in pounds) of weight needed to break a bridge cable.
1. The amount of weight needed to break a bridge cable is expressed in pounds, which is a numerical measurement.
2. This variable can be measured and quantified.
STEP 5
Determine the type of variable for (b) Amount (in pounds) of weight needed to break a bridge cable.
1. Since the amount of weight is a numerical measurement, it is a quantitative variable.
STEP 6
Identify the type of variable for (c) Name of cell phone service provider.
1. The name of a cell phone service provider is a label or category.
2. It is not a numerical measurement and cannot be quantified.
STEP 7
Determine the type of variable for (c) Name of cell phone service provider.
1. Since the name of a cell phone service provider is a category and not a numerical value, it is a categorical variable.
STEP 8
Summarize the types of variables for each part.
1. (a) Customer satisfaction rating is a categorical variable.
2. (b) Amount (in pounds) of weight needed to break a bridge cable is a quantitative variable.
3. (c) Name of cell phone service provider is a categorical variable.
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