CH2

10. A cumulative relative frequency distribution shows a. the proportion of data items with values less than or equal to the upper limit of each class b. the proportion of data items with values less than or equal to the lower limit of each class c. the percentage of data items with values less than or equal to the upper limit of each class d. the percentage of data items with values less than or equal to the lower limit of each class

A

11. If several frequency distributions are constructed from the same data set, the distribution with the widest class width will have the a. fewest classes b. most classes c. same number of classes as the other distributions since all are constructed from the same data

A

14. The most common graphical presentation of quantitative data is a a. histogram b. bar chart c. relative frequency d. pie chart

A

17. In constructing a frequency distribution, the approximate class width is computed as a. (largest data value - smallest data value)/number of classes b. (largest data value - smallest data value)/sample size c. (smallest data value - largest data value)/sample size d. largest data value/number of classes

A

21. In a cumulative relative frequency distribution, the last class will have a cumulative relative frequency equal to a. one b. zero c. the total number of elements in the data set d. None of these alternatives is correct.

A

23. Data that provide labels or names for categories of like items are known as a. categorical data b. quantitative data c. label data d. category data

A

29. A histogram is a. a graphical presentation of a frequency or relative frequency distribution b. a graphical method of presenting a cumulative frequency or a cumulative relative frequency distribution c. the history of data elements d. the same as a pie chart

A

35. The reversal of conclusions based on aggregate and unaggregated data is called: a. Simpson's paradox b. Trim's paradox c. Poisson dilemma d. Simon's paradox

A

44. Refer to Exhibit 2-2. The cumulative percent frequency for the class of 30 - 39 is a. 100% b. 75% c. 50% d. 25%

A

52. Refer to Exhibit 2-3. Of those students who are majoring in business, what percentage plans to go to graduate school? a. 27.78 b. 8.75 c. 70 d. 72.22

A

8. A researcher is gathering data from four geographical areas designated: South = 1; North = 2; East = 3; West = 4. The designated geographical regions represent a. categorical data b. quantitative data c. label data d. either quantitative or categorical data

A

22. In a cumulative percent frequency distribution, the last class will have a cumulative percent frequency equal to a. one b. 100 c. the total number of elements in the data set d. None of these alternatives is correct.

B

24. A tabular method that can be used to summarize the data on two variables simultaneously is called a. simultaneous equations b. crosstabulation c. a histogram d. an ogive

B

28. In a scatter diagram, a line that provides an approximation of the relationship between the variables is known as a. approximation line b. trend line c. line of zero intercept d. line of zero slope

B

3. A tabular summary of a set of data showing the fraction of the total number of items in several classes is a a. frequency distribution b. relative frequency distribution c. Frequency d. cumulative frequency distribution

B

32. An Ogive is constructed by plotting a point corresponding to the ___ frequency of each class. a. relative b. cumulative c. percent d. octave

B

40. Refer to Exhibit 2-2. The number of students working 19 hours or less a. is 80 b. is 100 c. is 180 d. is 300

B

42. Refer to Exhibit 2-2. The percentage of students working 19 hours or less is a. 20% b. 25% c. 75% d. 80%

B

45. Refer to Exhibit 2-2. The cumulative frequency for the class of 20 - 29 a. is 200 b. is 300 c. is 0.75 d. is 0.5

B

48. Refer to Exhibit 2-2. The number of students who work 19 hours or less is a. 80 b. 100 c. 200 d. 400

B

53. Refer to Exhibit 2-3. Among the students who plan to go to graduate school, what percentage indicated "Other" majors? a. 15.75 b. 45 c. 54 d. 35

B

6. The sum of frequencies for all classes will always equal a. 1 b. the number of elements in a data set c. the number of classes d. a value between 0 and 1

B

Exhibit 2-1 A sample of 15 children shows their favorite restaurants: McDonalds Luppi's Mellow Mushroom Friday's McDonalds McDonalds Pizza Hut Taco Bell McDonalds Mellow Mushroom Luppi's Pizza Hut McDonalds Friday's McDonalds 36. Refer to Exhibit 2-1. Which of the following is the correct frequency distribution? a. McDonalds 4, Friday's 3, Pizza Hut 1, Mellow Mushroom 4, Luppi's 3, Taco Bell 1 b. McDonalds 6, Friday's 2, Pizza Hut 2, Mellow Mushroom 2, Luppi's 2, Taco Bell 1 c. McDonalds 6, Friday's 1, Pizza Hut 3, Mellow Mushroom 1, Luppi's 2, Taco Bell 2 d. None of these alternatives is correct.

B

Exhibit 2-2 The numbers of hours worked (per week) by 400 statistics students are shown below. Number of hours Frequency 0 - 9 20 10 - 19 80 20 - 29 200 30 - 39 100 39. Refer to Exhibit 2-2. The class width for this distribution a. is 9 b. is 10 c. is 39, which is: the largest value minus the smallest value or 39 - 0 = 39 d. varies from class to class

B

Exhibit 2-4 Michael's Compute-All, a national computer retailer, has kept a record of the number of laptop computers they have sold for a period of 80 days. Their sales records are shown below: Number of Laptops Sold Number of Days 0 - 19 5 20 - 39 15 40 - 59 30 60 - 79 20 80 - 99 10 Total 80 54. Refer to Exhibit 2-4. The class width of the above distribution is a. 0 to 100 b. 20 c. 80 d. 5

B

12. The sum of the relative frequencies for all classes will always equal a. the sample size b. the number of classes c. one d. any value larger than one

C

15. The total number of data items with a value less than the upper limit for the class is given by the a. frequency distribution b. relative frequency distribution c. cumulative frequency distribution d. cumulative relative frequency distribution

C

16. The relative frequency of a class is computed by a. dividing the cumulative frequency of the class by n b. dividing n by cumulative frequency of the class c. dividing the frequency of the class by n d. dividing the frequency of the class by the number of classes

C

18. In constructing a frequency distribution, as the number of classes are decreased, the class width a. decreases b. remains unchanged c. increases d. can increase or decrease depending on the data values

C

2. A frequency distribution is a. a tabular summary of a set of data showing the relative frequency b. a graphical form of representing data c. a tabular summary of a set of data showing the frequency of items in each of several nonoverlapping classes d. a graphical device for presenting categorical data

C

20. In a cumulative frequency distribution, the last class will always have a cumulative frequency equal to a. one b. 100% c. the total number of elements in the data set d. None of these alternatives is correct.

C

27. When a histogram has a longer tail to the right, it is said to be a. symmetrical b. skewed to the left c. skewed to the right d. none of these alternatives is correct

C

30. A situation in which conclusions based upon aggregated crosstabulation are different from unaggregated crosstabulation is known as a. wrong crosstabulation b. Simpson's rule c. Simpson's paradox d. aggregated crosstabulation

C

31. Which of the following is a graphical summary of a set of data in which each data value is represented by a dot above the axis? a. histogram b. box plot c. dot plot d. crosstabulation

C

33. The ___ can be used to show the rank order and shape of a data set simultaneously. a. ogive b. pie chart c. stem-and-leaf display d. bar chart

C

34. Which of the following graphical methods shows the relationship between two variables? a. pie chart b. ogive c. crosstabulation d. dot plot

C

37. Refer to Exhibit 2-1. Which of the following is the correct relative frequency for McDonalds? a. 0. 27 b. 0.5 c. 0.4 d. 6

C

43. Refer to Exhibit 2-2. The cumulative relative frequency for the class of 20 - 29 a. is 300 b. is 0.25 c. is 0.75 d. is 0.5

C

47. Refer to Exhibit 2-2. The percentage of students who work at least 10 hours per week is a. 50% b. 5% c. 95% d. 100%

C

5. The percent frequency of a class is computed by a. multiplying the relative frequency by 10 b. dividing the relative frequency by 100 c. multiplying the relative frequency by 100 d. adding 100 to the relative frequency

C

55. Refer to Exhibit 2-4. The lower limit of the first class is a. 5 b. 80 c. 0 d. 20

C

58. Refer to Exhibit 2-4. The number of days in which the company sold less than 60 laptops is a. 20 b. 30 c. 50 d. 60

C

Exhibit 2-3 A survey of 800 college seniors resulted in the following crosstabulation regarding their undergraduate major and whether or not they plan to go to graduate school. Undergraduate Major Graduate School Business Engineering Others Total Yes 70 84 126 280 No 182 208 130 520 Total 252 292 256 800 50. Refer to Exhibit 2-3. What percentage of the students does not plan to go to graduate school? a. 280 b. 520 c. 65 d. 32

C

1. A frequency distribution is a tabular summary of data showing the a. fraction of items in several classes b. percentage of items in several classes c. relative percentage of items in several classes d. number of items in several classes

D

13. The sum of the percent frequencies for all classes will always equal a. one b. the number of classes c. the number of items in the study d. 100

D

19. The difference between the lower class limits of adjacent classes provides the a. number of classes b. class limits c. class midpoint d. class width

D

25. A graphical presentation of the relationship between two variables is a. an ogive b. a histogram c. either an ogive or a histogram, depending on the type of data d. a scatter diagram

D

26. A histogram is said to be skewed to the left if it has a a. longer tail to the right b. shorter tail to the right c. shorter tail to the left d. longer tail to the left

D

38. Refer to Exhibit 2-1. Which of the following is the correct percent frequency for McDonalds? a. 10% b. 27% c. 2% d. 40%

D

4. The relative frequency of a class is computed by a. dividing the midpoint of the class by the sample size b. dividing the frequency of the class by the midpoint c. dividing the sample size by the frequency of the class d. dividing the frequency of the class by the sample size

D

41. Refer to Exhibit 2-2. The relative frequency of students working 9 hours or less a. is 20 b. is 100 c. is 0.95 d. 0.05

D

46. Refer to Exhibit 2-2. If a cumulative frequency distribution is developed for the above data, the last class will have a cumulative frequency of a. 100 b. 1 c. 30 - 39 d. 400

D

49. Refer to Exhibit 2-2. The midpoint of the last class is a. 50 b. 34 c. 35 d. 34.5

D

51. Refer to Exhibit 2-3. What percentage of the students' undergraduate major is engineering? a. 292 b. 520 c. 65 d. 36.5

D

56. Refer to Exhibit 2-4. If one develops a cumulative frequency distribution for the above data, the last class will have a frequency of a. 10 b. 100 c. 0 to 100 d. 80

D

57. Refer to Exhibit 2-4. The percentage of days in which the company sold at least 40 laptops is a. 37.5% b. 62.5% c. 90.0% d. 75.0%

D

7. Fifteen percent of the students in a school of Business Administration are majoring in Economics, 20% in Finance, 35% in Management, and 30% in Accounting. The graphical device(s) which can be used to present these data is (are) a. a line chart b. only a bar chart c. only a pie chart d. both a bar chart and a pie chart

D

9. Categorical data can be graphically represented by using a(n) a. histogram b. frequency polygon c. ogive d. bar chart

D