Question

identify the type of data that would be used to describe a response (quantitative discrete, quantitative continuous, or qualitative).percent of body fat
quantitative discrete
quantitative continuous
qualitative
give an example of the data.
−150 lbs
150 lbs
5 ft 6 in
19.2% body fat
119.2% body fat

Explanation:

First Part (Identifying Data Type)

1. Quantitative Discrete: Data that is countable (e.g., number of students, number of cars). Percent of body fat is not countable in this way.
2. Quantitative Continuous: Data that can take any value within a range (e.g., height, weight, percentages with decimal values). Percent of body fat can have decimal values (e.g., 19.2%) and is a measurement that can vary continuously.
3. Qualitative: Data that is categorical (e.g., colors, genders). Percent of body fat is a numerical measurement, not categorical.

So the type of data for percent of body fat is quantitative continuous.

• \(-150\) lbs: Negative weight is not realistic for body fat percentage (or weight in general for a living being).
• \(150\) lbs: This is a weight measurement, not a body fat percentage.
• \(5\) ft \(6\) in: This is a height measurement, not a body fat percentage.
• \(19.2\%\) body fat: This is a realistic body fat percentage (within a normal range for humans) and is a valid example of a quantitative continuous measurement for body fat percentage.
• \(119.2\%\) body fat: This is impossible as body fat percentage cannot exceed 100% (since body fat is part of the body, the maximum would be 100% if the entire body was fat, which is not biologically possible).

Answer:

B. quantitative continuous

Second Part (Example of the Data)