The parallel boxplots shown display thedistribution of battery life (in hours) for twobrands of batteries (brand A and brand B). The variables battery life and brand are:

Question

BlackTom AI · Accepted Answer

The plot shows battery life (in hours) on the horizontal axis and two brands (brand A and brand B) as the grouping variable. This immediately tells us two things: first, battery life is a numerical, continuous variable because it measures a quantity (hours) along a numeric scale. Second, brand is a categorical (qualitative) variable because it represents distinct groups or categories (two brands) rather than a numeric measurement.

To evaluate the statement that the variables are 'a numerical and a categorical variable respectively':
- Battery life is numerical (quantitative) since it is measured in hours and can take a range of numeric values.
- Brand is categorical because it labels groups (brand A vs brand B) and does not represent a numeric magnitude.

Therefore, the pairing numerical (battery life) and categorical (brand) matches the described description. This is consistent with how the boxplots are used: one box for each category of the qualitative variable, showing the distribution of the numerical response within each group.

If you were to consider alternative descriptions, you might think of 'brand' as a factor or grouping variable and 'battery life' as the response variable; but in all standard terminology, battery life remains numerical and brand remains categorical, confirming the stated answer.

The parallel boxplots shown display thedistribution of battery life (in hours) for twobrands of batteries (brand A and brand B). The variables battery life and brand are:Single choice

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The parallel boxplots shown display thedistribution of battery life (in hours) for twobrands of batteries (brand A and brand B). The variables battery life and brand are:

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