Question

A study was done to determine the age, number of times per week, and the duration (amount of time) of residents using a local park in San Antonio, Texas. The first house in the neighborhood around the park was selected randomly, and then the resident of every eighth house in the neighborhood around the park was interviewed.

“Duration (amount of time)” is what type of data?

a. qualitative(categorical); b. quantitative discrete; c. quantitative continuous

Short answer

“Duration (amount of time)” is a type of quantitative continuous variable, hence, option c is the correct answer.

Step-by-step solution

Concept Introduction

A variable is a type of data and it can be of qualitative, quantitative discrete, or quantitative continuous type based on the given data in statistics.

Explanation

A qualitative variable is one that assigns categories to the variable as a value. The variable gender, for example, is a qualitative variable since it assigns male or female categories to the variable gender.

A quantitative discrete variable is one that assigns values that has a definite number of values. Quantitative discrete variables include things like the number of students in a class and the number of days in a month.

A quantitative continuous variable is one that assigns values that have an infinite number of possible values. A quantitative continuous variable is, for example, the weight of students in a class or the distance between two cities.

Since the duration of time can have any value and there are infinite possibilities of that, the given data is of a quantitative continuous type.

Final answer

The given data type, “Duration (amount of time)”, is a type of quantitative continuous variable.