Math Problem Statement

Select the correct choices that complete the sentences.

▼   A discrete variable

A quantitative variable

Data

A variable

A qualitative variable

A continuous variable

provides numerical measures of individuals. The values of a quantitative variable can be added or​ subtracted, and provide meaningful results.

▼   A continuous variable

A qualitative variable

Data

A variable

A discrete variable

A quantitative variable

allows for classification of individuals based on some attribute or characteristic.

▼   A discrete variable

A variable

A continuous variable

Data

A quantitative variable

A qualitative variable

is the characteristic of the individuals within the population.

▼   A qualitative variable

A quantitative variable

Data

A discrete variable

A variable

A continuous variable

is information that describes characteristics of an individual.

▼   A variable

A quantitative variable

A continuous variable

A qualitative variable

Data

A discrete variable

has either a finite number of possible values or countable number of possible values. The values of these variables typically result from counting.

▼   A quantitative variable

A continuous variable

Data

A qualitative variable

A discrete variable

A variable

has an infinite number of possible values that are not countable. The values of these variables typically result from measurement.

Solution

Here are the correct choices for completing the sentences:

  1. A quantitative variable provides numerical measures of individuals. The values of a quantitative variable can be added or subtracted, and provide meaningful results.

  2. A qualitative variable allows for classification of individuals based on some attribute or characteristic.

  3. A variable is the characteristic of the individuals within the population.

  4. Data is information that describes characteristics of an individual.

  5. A discrete variable has either a finite number of possible values or a countable number of possible values. The values of these variables typically result from counting.

  6. A continuous variable has an infinite number of possible values that are not countable. The values of these variables typically result from measurement.


Do you need further clarification on any of these terms or examples?

Follow-up questions:

  1. Can you provide examples of discrete and continuous variables?
  2. How does a quantitative variable differ from a qualitative one?
  3. Why are continuous variables often associated with measurement?
  4. How does the classification of variables impact data analysis?
  5. Can you explain the role of variables in constructing a data set?

Tip:

When dealing with quantitative variables, always check whether the data are discrete or continuous. This distinction can influence the types of statistical analyses that are appropriate!

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Math Problem Analysis

Mathematical Concepts

Statistics
Classification of Variables
Quantitative vs. Qualitative Data
Discrete vs. Continuous Variables

Formulas

-

Theorems

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Suitable Grade Level

Grades 9-12