STAT HW
Displaying categorical data HW
3.1 Each person in a nationally representative sample of 1252 young adults age 23 to 28 years old was asked how they viewed their “financial physique” (“2009 Young Adults & Money Survey Findings,” Charles Schwab, 2009). “Toned and fit” was chosen by 18% of the respondents, while 55% responded “a little bit flabby,” and 27% responded “seriously out of shape.” Summarize this information in a pie chart. 3.3 A survey conducted by Robert Half Technology appeared in USA Today (October 22, 2009) “Whistle – Don’t Tweet – While you Work,” (www.roberthalhtechnology.com). One questions asked: “Which of the following most closely describes your company’s policy on visiting social networking sites, such as Facebook, MySpace and Tweeter, while at work? The responses are summarized in the following table:
Response category
Relative Frequency (expressed as percent)
Prohibited completely
54%
Permitted for business purposes only
19%
Permitted for limited personal use
16%
Permitted for any type of personal use
10%
Don’t know/no answer
1%
a. Explain how the survey response categories and corresponding relative frequencies were used or modified to produce the following table:
b. Using the original data in the table, construct a segmented bar graph.
c. What are two other types of graphical displays that would be appropriate for summarizing these data
3.8 The report “Findings from the 2008 Administration of the College Senior Survey” (Higher Education Research Institute, 2009) asked a large number of college seniors how they would rate themselves compared to the average person of their age with respect to the average person of their age with respect to physical health. The accompanying relative frequency table summarizes the responses for men and women:
Rating of Physical Health
Relative Frequency
Men
Women
Highest 10%
.220
.101
Above Average
.399
.359
Average
.309
.449
Below Average
.066
.086
Lowest 10%
3.1 Each person in a nationally representative sample of 1252 young adults age 23 to 28 years old was asked how they viewed their “financial physique” (“2009 Young Adults & Money Survey Findings,” Charles Schwab, 2009). “Toned and fit” was chosen by 18% of the respondents, while 55% responded “a little bit flabby,” and 27% responded “seriously out of shape.” Summarize this information in a pie chart. 3.3 A survey conducted by Robert Half Technology appeared in USA Today (October 22, 2009) “Whistle – Don’t Tweet – While you Work,” (www.roberthalhtechnology.com). One questions asked: “Which of the following most closely describes your company’s policy on visiting social networking sites, such as Facebook, MySpace and Tweeter, while at work? The responses are summarized in the following table:
Response category
Relative Frequency (expressed as percent)
Prohibited completely
54%
Permitted for business purposes only
19%
Permitted for limited personal use
16%
Permitted for any type of personal use
10%
Don’t know/no answer
1%
a. Explain how the survey response categories and corresponding relative frequencies were used or modified to produce the following table:
b. Using the original data in the table, construct a segmented bar graph.
c. What are two other types of graphical displays that would be appropriate for summarizing these data
3.8 The report “Findings from the 2008 Administration of the College Senior Survey” (Higher Education Research Institute, 2009) asked a large number of college seniors how they would rate themselves compared to the average person of their age with respect to the average person of their age with respect to physical health. The accompanying relative frequency table summarizes the responses for men and women:
Rating of Physical Health
Relative Frequency
Men
Women
Highest 10%
.220
.101
Above Average
.399
.359
Average
.309
.449
Below Average
.066
.086
Lowest 10%