Question 1

Which of the following survey questions from the provided study is an example of a qualitative variable?

Accepted Answer

To which academic program would you enroll?

Question 2

The variable 'Age' in the survey is best classified as which type of variable?

Accepted Answer

Quantitative, discrete

Question 3

Which measure of central tendency is most appropriate for summarizing the 'Academic Program' variable?

Accepted Answer

Mode

Question 4

If you want to display the distribution of students' ages visually, which graph type is most appropriate?

Accepted Answer

Histogram

Question 5

Suppose you calculate the mean age of students as $$\overline{x} = 24$$ and the standard deviation as $$s = 9. $$What does a larger standard deviation indicate in this context?

Accepted Answer

There is a wide range of ages among the students.

Question 6

Which variable from the survey is best described as ordinal?

Accepted Answer

Likely to attend UMGC (1-4 scale)

Question 7

If you want to compare the frequency of students in each academic program, which table would best organize the data?

Accepted Answer

A frequency distribution table

Question 8

Given the following ages: 18, 19, 17, 30, 18, 21, 45, 20, 18, 30, 25, 31, 19, what is the median age?

Accepted Answer

$$	ext{Median} = 19$$

Question 9

Which of the following best describes the variable 'Housing'?

Accepted Answer

Qualitative, nominal

Question 10

If you want to show the proportion of students likely to attend UMGC (on a 1-4 scale), which graph would be most effective?

Accepted Answer

Bar graph

Question 11

Suppose the range of ages in the survey is $$R = 45 - 17 = 28. $$What does this range tell you about the data?

Accepted Answer

There is a large spread in student ages.

Question 12

If you want to analyze the relationship between 'Housing' and 'Likely to attend UMGC', which statistical method would be most appropriate?

Accepted Answer

Contingency table (cross-tabulation)

Question 13

Which of the following is a real-world reason for preferring the mode over the mean when summarizing the 'Academic Program' variable?

Accepted Answer

The mode shows the most popular program, which is useful for resource allocation.

Question 14

If the frequency of students choosing 'Business' as their academic program is higher than any other program, what is the mode of the 'Academic Program' variable?

Accepted Answer

Business

Question 15

Which measure of dispersion would best help you understand the variability in students' likelihood to attend UMGC?

Accepted Answer

Standard deviation

Question 16

If you want to display the cumulative frequency of students by age, which type of graph would you use?

Accepted Answer

Ogive

Question 17

Which of the following is NOT a reason to use a grouped frequency distribution for the 'Age' variable?

Accepted Answer

It provides more detail than listing every individual age.

Question 18

If the mean, median, and mode for 'Likely to attend UMGC' are all different, what does this suggest about the data?

Accepted Answer

The data is skewed.

Question 19

Which variable from the survey is best described as nominal?

Accepted Answer

Academic Program

Question 20

If you want to summarize the 'Housing' variable, which of the following would be the best choice?

Accepted Answer

Frequency table

Exploring and Describing Survey Data: Classification, Frequency Distributions, and Data Visualization

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