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

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.