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Chapter 1: Problem 25

Classify the variable as qualitative or quantitative. Student ID number

Short Answer

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Qualitative

Step by step solution

01

Understand the Meaning of the Variable

A variable in statistics refers to a characteristic or attribute that can vary among subjects or cases. A variable can be either qualitative or quantitative.
02

Define Qualitative and Quantitative Variables

Qualitative variables, also known as categorical variables, describe attributes or qualities that cannot be measured numerically. Examples include colors, names, and labels. Quantitative variables, on the other hand, represent quantities and can be measured numerically. Examples include height, age, and weight.
03

Identify the Type of the Given Variable

The given variable is 'Student ID number'. A Student ID number is a label assigned to each student for identification purposes. Though it is represented using numbers, it does not measure a quantity or amount.
04

Classify the Variable

Since a Student ID number is a label used for identifying students and does not measure any numerical value, it is classified as a qualitative (categorical) variable.

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Key Concepts

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

types of variables
In statistics, understanding the types of variables is crucial. Variables can be broadly categorized into two groups: qualitative (categorical) and quantitative (numerical).
Qualitative variables describe non-numeric attributes or qualities. For example, colors, names, or types of animals. On the other hand, quantitative variables represent quantities and are measurable in numbers. Examples include height, weight, and temperature.
Knowing the type of variable you are dealing with helps in choosing the right statistical methods for analysis.
categorical variables
Categorical variables, also known as qualitative variables, represent characteristics or attributes that cannot be measured numerically. These variables categorize individuals or items into discrete groups.
Categorical variables can be divided into two subtypes:
  • **Nominal Variables**: These have distinct categories without any inherent order. Examples include gender, nationality, and hair color.
  • **Ordinal Variables**: These have distinct categories with a meaningful order. Examples include ranking of students by grades (A, B, C) or levels of satisfaction (satisfied, neutral, dissatisfied).
Understanding categorical variables is important since different statistical tests are required for analysis compared to numerical variables.
numerical variables
Numerical variables, also known as quantitative variables, represent measurable quantities and can be expressed in numbers. These variables can also be divided into two subtypes:
  • **Discrete Variables**: These consist of distinct, separate values and are countable. Examples include the number of students in a classroom or the number of cars in a parking lot.
  • **Continuous Variables**: These can take any value within a range and are measurable. Examples include height, weight, and temperature.
Having a clear understanding of numerical variables is key to performing accurate statistical analysis and deriving meaningful conclusions.

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Most popular questions from this chapter

Identify the type of sampling used. A farmer divides his orchard into 50 subsections, randomly selects \(4,\) and samples all the trees within the 4 subsections to approximate the yield of his orchard.

Researchers wish to know if there is a link between hypertension (high blood pressure) and consumption of salt. Past studies have indicated that the consumption of fruits and vegetables offsets the negative impact of salt consumption. It is also known that there is quite a bit of person-to-person variability as far as the ability of the body to process and eliminate salt. However, no method exists for identifying individuals who have a higher ability to process salt. The U.S. Department of Agriculture recommends that daily intake of salt should not exceed 2400 mg. The researchers want to keep the design simple, so they choose to conduct their study using a completely randomized design. (a) What is the response variable in the study? (b) Name three factors that have been identified. (c) For each factor identified, determine whether the variable can be controlled, cannot be controlled, or should be manipulated. If a factor cannot be controlled, what should be done to reduce variability in the response variable? (d) How many treatments would you recommend? Why?

True or False: Observational studies do not allow a researcher to claim causation.

A pharmaceutical company wants to conduct a survey of 30 individuals who have high cholesterol. The company has obtained a list from doctors throughout the country of 6,600 individuals who are known to have high cholesterol. Design a sampling method to obtain the individuals in the sample. Be sure to support your choice.

Identify the type of sampling used. To estimate the percentage of defects in a recent manufacturing batch, a quality-control manager at Intel selects every 8 th chip that comes off the assembly line starting with the 3rd until she obtains a sample of 140 chips.
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