Question

1. After graduation ceremonies at a university, six graduates were asked whether they were in favor of (identified by 1) or against (identified by 0) capital punish- ment. Some information about these graduates is shown below Graduate Sex Age Opinion on Capital Punishment Class Rank Marissa female 24 0 ason male Wendy female 41 Edward male 38 Jennifer female 25 male 19 20 Tim 0 a. How many elements are in the data set? b. How many variables are in the data set? c. How many observations are in the data set? d. Which of the above variables are categorical and which are quantitative vari- ables? e. What measurement scale is used for each variable? f. Are arithmetic operations appropriate for the variable "Opinion on Capital Pun- ishment"

Answer 1

Answer:

1. There are 6 elements in the date set: Marissa, Jason, Wendy, Edward, Jennifer and Tim
2. There are 4 variables in the data set: sex, age, opinion on capital punishment and class rank
3. The observations in the data set are: (female, 24, 0,1), (male,22,1,2), (female, 41, 0, 3), (male, 38, 1, 20), (female, 25, 1, 4), (male ,19, 0, 8)      
4. The categorical variables are those variables which are qualitative in nature or whose value can’t be expressed in numbers. In the given data set the categorical variable is: sex

The quantitative variables are those variables whose value can be defined in numerical terms and in the given data set the quantitative variables are: age, opinion on capital punishment and class rank

5. Measurement scale used for variables :

• Sex : nominal
• Age : Ratio
• Opinion on capital punishment: ordinal
• Class rank: ordinal