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Use the following information to answer the next four exercises: 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. The colors of the houses around the park are what kind of data? a. qualitative b. quantitative discrete c. quantitative continuous

Short Answer

Expert verified
The colors of the houses are qualitative data.

Step by step solution

01

Understand the Types of Data

There are generally three main types of data: qualitative, quantitative discrete, and quantitative continuous. Qualitative data describes qualities or characteristics and is non-numeric. Quantitative data is numeric; it can be discrete, where data points are countable, or continuous, where data points are measurable and can take any value within a range.
02

Identify Characteristics of House Colors

House colors represent categories (e.g., red, blue, green), which describe a characteristic of the house without involving any numerical value. This makes house colors an example of non-numeric data.
03

Classify the Data Type

Given that house colors are non-numeric and describe a characteristic or quality, this type of data is classified as qualitative. Hence, house colors are an example of qualitative data.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Qualitative Data
When we talk about qualitative data, we are discussing characteristics or descriptions that cannot be easily measured or counted with numbers. Instead, this data is often categorized based on attributes or qualities. A classic example of qualitative data is the colors of houses.
Such data provides insight into the traits or qualities of an item or subject, without focusing on numerical values. For instance, the color of a house like red, blue, or green is qualitative because it describes the visual quality of the house without referencing any numeric value.
  • Non-numeric: No numbers involved, purely descriptive.
  • Categories or labels: Sorted into groups or classes like types of vehicles, colors, or breeds of dogs.
  • Subjectivity: More about personal or subjective features, often relying on observation.
Understanding qualitative data is crucial as it helps in interpreting situations, phenomena, or objects from a descriptive point of view, which can be incredibly useful in areas like marketing research, social sciences, and where understanding nuances is vital.
Quantitative Data
Quantitative data, in contrast to qualitative data, focuses on numbers and measurable aspects. It's all about quantities and represents data that can be counted or measured in numerical terms. Quantitative data can either be discrete or continuous.
Discrete data signifies countable numbers, often whole numbers. For instance, the number of times park residents visit the park per week would be considered discrete since you can count each visit.
  • Countable: Comes in numbers, like number of books on a shelf or number of residents in a neighborhood.
  • Statistical Analysis: Suitable for mathematical computations and statistical analyses.
On the other hand, continuous data involves measurements that can fall anywhere within a particular range. A great example is the duration of a resident's stay in the park—this duration might be measured in hours and minutes, illustrating that it can be any value within a range.
  • Measurable Range: Takes any value in a specified range, such as temperature or height measurements.
  • Precision: Can include fractions or decimals, permitting more precise calculations.
Data Classification
Data classification is the process of organizing data based on shared qualities or characteristics. This process helps in simplifying the analysis and understanding of data by grouping similar or related pieces of information.
Data can primarily be classified into two overarching categories: qualitative and quantitative, as we've discussed earlier. Knowing how to classify data is essential for analyzing and deriving insights effectively. Here's how this applies:
  • Qualitative Classification: Involves sorting data into non-numeric categories, useful for understanding traits or qualities.
  • Quantitative Classification: Organizes data into numerical categories, enabling precise calculations and statistical analysis.
By classifying data correctly, you can apply the appropriate methods for analysis, whether it's descriptive methods for qualitative data or statistical formulas for quantitative data. This ensures that the data interpretation process aligns with the nature of your data, making your findings accurate and reliable.

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Most popular questions from this chapter

Suppose you want to determine the mean number of cans of soda drunk each month by students in their twenties at your school. Describe a possible sampling method in three to five complete sentences. Make the description detailed.

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A question on a survey reads: "Do you prefer the delicious taste of Brand \(X\) or the taste of Brand \(Y?\)" Is this a fair question?

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Use the following data to answer the next five exercises: A pair of studies was performed to measure the effectiveness of a new software program designed to help stroke patients regain their problem solving skills. Patients were asked to use the software program twice a day, once in the morning and once in the evening. The studies observed 200 stroke patients recovering over a period of several weeks. The first study collected the data in Table 1.31. The second study collected the data in Table 1.32. $$\begin{array}{|l|l|l|}\hline \text { Group } & {\text { Showed improvement }} & {\text { No improvement }} & {\text { Deterioration }} \\ \hline \text { Used program } & {142} & {43} & {15} \\ \hline \text { Did not use program } & {72} & {110} & {18} \\ \hline\end{array}$$ Table 1.31 $$\begin{array}{|l|l|l|}\hline \text { Group } & {\text { Showed improvement }} & {\text { No improvement }} & {\text { Deterioration }} \\ \hline \text { Used program } & {105} & {74} & {19} \\ \hline \text { Did not use program } & {89} & {99} & {12}\\\ \hline\end{array}$$ Table 1.32 The first study was performed by the company that designed the software program. The second study was performed by the American Medical Association. Which study is more reliable?

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