Question

select the best answer for each question.

1. you record the age, marital status, and earned income of a sample of 1463 women. the number and type of variable you have recorded is

a. 3 quantitative, 0 categorical
b. 3 quantitative, 1 categorical
c. 2 quantitative, 1 categorical
d. 2 quantitative, 2 categorical

1. for which of the following variables would it be more appropriate to use a bar chart than a histogram to display the distribution?

a. annual income
b. number of pets
c. age
d. marital status

1. the accompanying bar chart summarizes responses of dog owners to the question \where in the car do you let your dog ride?\ which of the following statements is true?

a. a majority of owners do not allow their pets to ride in the front passenger seat.
b. roughly twice as many pets are allowed to sit in the front passenger seat as in the passengers lap.
c. the vertical scale of this graph exaggerates the difference between the percentage who let their dogs ride in the drivers lap versus a passengers lap.
d. these data could also be presented in a pie chart.

Explanation:

Question 1

Step1: Identify variable types

Quantitative variables have numerical values (age, earned income). Categorical variables have non - numerical groups (marital status).

Step2: Count variable types

There are 2 quantitative (age, earned income) and 1 categorical (marital status) variable.

Question 2

Step1: Recall bar chart and histogram usage

Bar charts are for categorical variables. Histograms are for quantitative variables.

Step2: Classify variables

Marital status is categorical. Annual income, number of pets, and age are quantitative.

Question 3

Step1: Analyze option a

The percentage for front passenger seat is about 53%, so a majority do allow pets there. Option a is false.

Step2: Analyze option b

Front passenger seat is about 53%, passenger's lap is about 33%. It's not roughly twice. Option b is false.

Step3: Analyze option c

The vertical scale starts at 20, which exaggerates differences. But for driver's lap (about 18%) and passenger's lap (about 33%), the scale doesn't exaggerate their difference. Option c is false.

Step4: Analyze option d

Since the categories (where the dog rides) are mutually exclusive and cover all possibilities, a pie chart can be used.

Answer:

1. C. 2 quantitative, 1 categorical
2. D. Marital status
3. D. These data could also be presented in a pie chart.