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Chapter 1: Problem 53

Identify the type of data that would be used to describe a response (quantitative discrete, quantitative continuous, or qualitative), and give an example of the data. Number of tickets sold to a concert

Short Answer

Expert verified
The data is quantitative discrete, such as '350 tickets sold.'

Step by step solution

01

Understand the type of data

First, we need to identify the data's characteristics. The number of tickets sold to a concert is numerical, as it involves counting quantities.
02

Determine if the data is quantitative or qualitative

Since the data is a number and involves counting, we identify it as quantitative. Qualitative data would generally describe qualities or categories, not numbers.
03

Classify the quantitative data as discrete or continuous

Quantitative data can be further classified. Discrete quantitative data involves countable items, such as integers (e.g., 0, 1, 2, ...). Continuous data would involve measurements that could have decimals, like height or weight. Tickets sold can only be whole numbers, so it is discrete.
04

Provide an example

An example of this data could be '350 tickets sold for a concert'. This is a specific count of discrete quantitative data.

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Key Concepts

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

Quantitative Data
Quantitative data refers to any data that is numerical in nature, meaning it can be counted or measured and expressed using numbers. Quantitative data is essential for statistical analysis and can be used to observe and describe a vast array of phenomena. There are two primary types of quantitative data: discrete and continuous. When collecting quantitative data, ensure it accurately reflects what is being studied, and that it is measurable in a consistent manner.
For example, when looking at the number of tickets sold at a concert, you are dealing with quantitative data because it involves a specific number. This data can help in making predictions, identifying trends and making data-driven decisions in organizing future events.
Discrete Data
Discrete data is a type of quantitative data that refers specifically to countable items. It involves distinct, separate values, typically integers, and does not permit fractional values. Discrete data can only take on specific, individual values, and is often used to represent quantities, such as the number of students in a classroom or the number of tickets sold to a concert.
For example, if you sold 350 tickets to a concert, this number is discrete; you can't sell half a ticket. When dealing with discrete data, you often use bar charts or frequency tables to visualize and analyze the information effectively. This type of data is particularly useful when you need precise counts or want to compare different groups or items.
Qualitative Data
Qualitative data is non-numerical data that represents characteristics, attributes, or qualities of a subject rather than quantities. It is used to categorize or describe features of a population or phenomenon. Qualitative data is often collected through surveys, interviews, or observations and can provide a richer context to understanding patterns within data.
For example, if you are examining concert attendees, qualitative data might include the genre of music they prefer, their satisfaction level with the event, or feedback on the venue. This type of data is commonly analyzed using thematic analysis or by looking for patterns and trends in responses. It is invaluable in understanding underlying motivations, preferences, and behaviors of individuals relative to quantitative measures.

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Most popular questions from this chapter

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 Both groups that performed the study concluded that the software works. Is this accurate?

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