Question

Which of the following variables are qualitative and which are quantitative? If the variable is quantitative, then specify whether the variable is discrete or continuous. a. Points scored in a football game. Qualitative Quantitative; discrete Quantitative; continuous b. Racial composition of a high school classroom. Qualitative Quantitative; discrete Quantitative; continuous c. Heights of 15-year-olds. Qualitative Quantitative; discrete Quantitative; continuous

Answer 1

Answer:

a) Quantitative; discrete  

b) Qualitative

c)  Quantitative; continuous                        

Step-by-step explanation:

Quantitative and Qualitative:

• Qualitative variables are the non-parametric variables.
• Quantitative variables are the variables whose values are expressed in the form of number.
• Qualitative is information about a variable where as quantitative describes the variable with the help of values.

Discrete and Continuous:

• Quantitative variables whose values are expressed in the form of whole numbers are discrete variable.
• Discrete variable cannot take all the values of an interval. They are counted not measured.
• Quantitative variable whose values can be expressed in the form of decimals are continuous variable.
• Continuous variable take all the values within interval. They are measured not counted.

a. Points scored in a football game.

Since the points are expressed in numerical. Thus, they are quantitative variable. Since points are always expressed in whole numbers and are always counted it is a discrete variable.

b. Racial composition of a high school classroom

This will include the categorical values and not expressed as numerical. Thus, it is qualitative variable.

c. Heights of 15-year-olds.

These values will be expressed with the help of numerical and can take any value within an interval. Also, height is always measured and not counted. Thus it is a continuous variable.