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.
