Quantitative Data Analysis

1. Please indicate whether the following variables are continuous or discrete. (8 points)

Variable Name Discrete or Continuous?

a. Annual income ____________________

b. Time ____________________

c. Number of shoes you own ____________________

d. Human weight ____________________

e. Population of the United States ____________________

f. Distance ____________________

g. Course credit hours you are taking this semester ____________________

h. Car value ____________________

2. Following are data from a camper satisfaction survey conducted by a nationwide campground chain. Use this data to provide answers to posed questions about the relative comparisons. (16 points)

Responses to question

Frequencies (N = 572)

Overall experience was excellent

135

Would definitely return

151

Good value for the price

369

Appealing recreational activities

421

a. What is the rate of people selecting “Overall experience was excellent?” Also, provide an interpretation of your answer.

b. What is the ratio of people selecting “Would definitely return” to “Appealing recreational activities?” Please provide an interpretation of your answer.

c. What percentage of respondents considers the campground to be “Good value for the price?” Please provide an interpretation of your answer.

3. Please look at the table below, which includes a distribution of player’s ages at a midnight basketball program, and answer to proposed questions about the measures of central tendency and variability. (16 points)

Player’s age

Number of players

17

1

18

5

19

1

20

4

21

1

22

1

a. What is the mean age of players who participated in a midnight basketball program?

b. What is the median age of players who participated in a midnight basketball program?

c. What is the modal age of players who participated in a midnight basketball program?

d. Among the three choices (mean, median and mode), which “average” would be the most appropriate to cite in a report? Please provide explanations to support your answer.

e. What is the range of player’s age from highest to lowest?

4. Please look at the two graphs below and interpret how graph A and graph B are different. (hint” which one has larger standard deviation and what does that mean?) (8 points)

5. You are reading the findings from a study on the relationship between the total number of hours a college basketball team practiced and their winning/losing percentage. The result showed that the correlation coefficient (r) value was -0.69 between the number of hours a college basketball team practiced before a game and team losing a game. Please make an interpretation (hint: use the table provided in lecture to determine the strength of the relationship and also use coefficient of determination). (12 points)

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