MATH 225N WEEK 5 COMPREHENSIVE TEST
2026 STUDY GUIDE SOLVED QUESTIONS
◉ A random sampling technique used when groups are defined by
their geographical location is: Answer: Cluster Sampling
◉ An investment firm rates bonds for AardCo Inc. as "B+" while
bonds of Deva Corp. are rated "AA." Which level of measurement
would be appropriate for such (ranked) data?. Answer: Ordinal
◉ Automobile exhaust emission of CO2 (milligrams per mile) is
____________ data.. Answer: Ratio
◉ From its 32 regions, the FAA selects 6 regions, and then randomly
audits 25 departing commercial flights in each region for compliance
with legal fuel and weight requirements. This is an example of:.
Answer: cluster sampling
◉ The brand of jeans you usually wear is an example of what type of
variable?. Answer: Categorical Variable
◉ Which is a discrete variable?. Answer: the number of pairs of
jeans you own
,◉ A critic's rating of a restaurant on a 1 to 4 scale is LEAST likely to
be recognized as a. Answer: ratio variable
◉ Which is most nearly correct regarding sampling error?. Answer:
It cannot be eliminated by any statistical sampling method
◉ The fuel economy (MPG) of your car is which type of data?.
Answer: Numerical data
◉ True or False: The duration (minutes) of a flight from Boston to
Minneapolis is ratio data. Answer: True
◉ Your rating of the food served at a local restaurant using a three-
point scale of 0 = gross, 1 = decent, 2 = yummy is ___________ data..
Answer: ordinal
◉ True or False: Sturges' Rule is merely a suggestion, not an ironclad
requirement.. Answer: True
◉ True or False: A frequency distribution is a tabulation of n data
values into k classes called bins.. Answer: True
◉ True or False: A frequency distribution usually has equal bin
widths.. Answer: True
, ◉ True or False: Except for the Y-axis scaling, the bars in a histogram
will look relatively the same if we use relative frequencies instead of
frequencies (with the same bin limits).. Answer: True
◉ Which of the following is characteristic of histogram bars?.
Answer: The bar widths show class intervals and their heights
indicate frequencies
◉ A sample consists of 5,500 observations. When the data are
represented in a relative frequency distribution, the relative
frequency of a given interval is 0.15. The frequency in this interval is
equal to. Answer: 825
◉ Consider the Excel data set "Data Dinner" posted on your course
home page. It consists of 28 observations on the amount spent on
dinner for four in downtown Chicago on Friday night. Now, using the
notations discussed in class, answer the following question.
Calculate the value of xmax.. Answer: 176
◉ Consider the Excel data set "Data Dinner" posted on your course
home page. It consists of 28 observations on the amount spent on
dinner for four in downtown Chicago on Friday night. Now, using the
notations discussed in class, answer the following question.
Calculate the value of xmin.. Answer: 52
2026 STUDY GUIDE SOLVED QUESTIONS
◉ A random sampling technique used when groups are defined by
their geographical location is: Answer: Cluster Sampling
◉ An investment firm rates bonds for AardCo Inc. as "B+" while
bonds of Deva Corp. are rated "AA." Which level of measurement
would be appropriate for such (ranked) data?. Answer: Ordinal
◉ Automobile exhaust emission of CO2 (milligrams per mile) is
____________ data.. Answer: Ratio
◉ From its 32 regions, the FAA selects 6 regions, and then randomly
audits 25 departing commercial flights in each region for compliance
with legal fuel and weight requirements. This is an example of:.
Answer: cluster sampling
◉ The brand of jeans you usually wear is an example of what type of
variable?. Answer: Categorical Variable
◉ Which is a discrete variable?. Answer: the number of pairs of
jeans you own
,◉ A critic's rating of a restaurant on a 1 to 4 scale is LEAST likely to
be recognized as a. Answer: ratio variable
◉ Which is most nearly correct regarding sampling error?. Answer:
It cannot be eliminated by any statistical sampling method
◉ The fuel economy (MPG) of your car is which type of data?.
Answer: Numerical data
◉ True or False: The duration (minutes) of a flight from Boston to
Minneapolis is ratio data. Answer: True
◉ Your rating of the food served at a local restaurant using a three-
point scale of 0 = gross, 1 = decent, 2 = yummy is ___________ data..
Answer: ordinal
◉ True or False: Sturges' Rule is merely a suggestion, not an ironclad
requirement.. Answer: True
◉ True or False: A frequency distribution is a tabulation of n data
values into k classes called bins.. Answer: True
◉ True or False: A frequency distribution usually has equal bin
widths.. Answer: True
, ◉ True or False: Except for the Y-axis scaling, the bars in a histogram
will look relatively the same if we use relative frequencies instead of
frequencies (with the same bin limits).. Answer: True
◉ Which of the following is characteristic of histogram bars?.
Answer: The bar widths show class intervals and their heights
indicate frequencies
◉ A sample consists of 5,500 observations. When the data are
represented in a relative frequency distribution, the relative
frequency of a given interval is 0.15. The frequency in this interval is
equal to. Answer: 825
◉ Consider the Excel data set "Data Dinner" posted on your course
home page. It consists of 28 observations on the amount spent on
dinner for four in downtown Chicago on Friday night. Now, using the
notations discussed in class, answer the following question.
Calculate the value of xmax.. Answer: 176
◉ Consider the Excel data set "Data Dinner" posted on your course
home page. It consists of 28 observations on the amount spent on
dinner for four in downtown Chicago on Friday night. Now, using the
notations discussed in class, answer the following question.
Calculate the value of xmin.. Answer: 52
