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Chapter 1: Problem 57

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 students enrolled at Evergreen Valley College

Short Answer

Expert verified
The data type is quantitative discrete, e.g., 5,000 students enrolled.

Step by step solution

01

Understand the Data Categories

To solve this, let's first understand the data categories. Qualitative data refers to descriptive data that fits into categories or groups. Quantitative data is numeric and can be further classified into two types: discrete and continuous. Discrete data is countable and usually represented by whole numbers, while continuous data can take on any value within a range, including fractions and decimals.
02

Identify the Nature of the Data

When considering the number of students enrolled at a college, this data is numerical and countable, making it quantitative. Since you can count the students individually and they are represented by whole numbers, this data cannot take on decimal values.
03

Determine the Type of Quantitative Data

Because the data is countable and consists of whole numbers, it falls under the category of quantitative discrete data. Quantitative discrete data is characterized by the ability to count items one by one, such as students.
04

Provide an Example

An example of quantitative discrete data would be if Evergreen Valley College had 5,000 students enrolled. This number is whole and countable, fitting the definition of discrete data.

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Key Concepts

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

Discrete Data
Discrete data is a type of quantitative data that is distinct because it involves countable values. Imagine you have a jar filled with marbles. The number of marbles in the jar can be counted one by one. You might have 10, 15, or 20 marbles, but not 10.5 marbles.
  • Discrete data is always represented by whole numbers.
  • It cannot include fractions or decimals because you count items individually.
A few examples of discrete data include the number of students in a classroom, the number of pages in a book, or the quantity of cars in a parking lot. Each of these can be expressed in whole numbers and accurately counted. When solving problems involving discrete data, it's essential to keep in mind that all possible values are finite and distinct.
Qualitative Data
Qualitative data, unlike quantitative, isn't about numbers. It's about characteristics or properties that can be observed but not measured. This form of data is descriptive and captures the qualities of an individual or group that distinguishes them.
  • Qualitative data often fits into categories or groups.
  • It includes things like colors, names, labels, and categories.
For instance, if you are asked to describe the courses offered at a college, you might list subjects like Math, History, or Biology. These are examples of qualitative data because they describe characteristics of something rather than quantify them. Such data is crucial in providing context and detail, offering insights beyond numbers.
Continuous Data
Continuous data is another type of quantitative data, but it differs from discrete data by being measurable and not solely countable. Imagine you're using a thermometer to measure temperature. The temperature could be 98.6掳F, 98.67掳F, or anything in between.
  • Continuous data can take any value within a given range, including fractions and decimals.
  • It is often collected through measurements like height, weight, distance, and time.
Because continuous data holds an infinite number of possibilities within any range, it is typically depicted on a continuum. This type of data is necessary when precision and fine detail are required, allowing for in-depth analysis and comparison.

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Most popular questions from this chapter

Airline companies are interested in the consistency of the number of babies on each flight, so that they have adequate safety equipment. Suppose an airline conducts a survey. Over Thanksgiving weekend, it surveys six flights from Boston to Salt Lake City to determine the number of babies on the flights. It determines the amount of safety equipment needed by the result of that study. a. Using complete sentences, list three things wrong with the way the survey was conducted. b. Using complete sentences, list three ways that you would improve the survey if it were to be repeated.

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.

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 sampling method was a. simple random b. systematic c. stratified d. cluster

Use the following data to answer the next five exercises: Two researchers are gathering data on hours of video games played by school-aged children and young adults. They each randomly sample different groups of 150 students from the same school. They collect the following data. $$\begin{array}{|l|l|l|l|l|l|l|}\hline \text { Hours Played per week } & {\text { Frequency }} & {\text { Relative Frequency }} & {\text { Cumulative Relative Frequency }} \\ \hline 0-2 & {26} & {0.17} & {0.17} \\ \hline 2-4 & {30} & {0.20} & {0.37} \\ \hline 4-6 & {49} & {0.33} & {0.70} \\ \hline 6-8 & {25} & {0.17} & {0.87} \\ \hline 8-10 & {12} & {0.8} & {0.95} \\ \hline 10-12 & {8} & {0.05} & {1} \\ \hline\end{array}$$ Table 1.29 Researcher A $$\begin{array}{|l|l|l|l|}\hline \text { Hours Played per week } & {\text { Frequency }} & {\text { Relative Frequency }} & {\text { Cumulative Relative Frequency }} \\ \hline 0-2 & {0.48} & {0.32} & {0.32} \\ \hline 2-4 & {51} & {0.34} & {0.66} \\ \hline 4-6 & {24} & {0.16} & {0.82} \\ \hline 6-8 & {12} & {0.08} & {0.90} \\ \hline 8-10 & {11} & {0.07} & {0.97} \\ \hline 10-12 & {4} & {0.03} & {1} \\ \hline \end{array}$$ Table 1.30 Researcher B Researcher A concludes that most students play video games between four and six hours each week. Researcher B concludes that most students play video games between two and four hours each week. Who is correct?

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. Percent of body fat
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