Florida National University Categorical Frequency Distribution Questions

Test Content

1. 
   
   Question 1

   2 PointsFind the class with the greatest number of data values.

   1. 55-65
   2. 65-75
   3. 75-85
   4. 85-95

2. 
   
   Question 2

   2 PointsWhat is the midpoint of the class 15–20 ?

   1. 1.5
   2. 16.5
   3. 3
   4. 17.5

3. 
   
   Question 3

   2 PointsWhat is the midpoint of the class 7-11 ?

   1. 9.5
   2. 9
   3. 5
   4. 4

4. 
   
   Question 4

   2 PointsGreg wants to construct a frequency distribution for the political affiliation of the employees at Owen’s Hardware Store. What type of distribution would be best?

   1. ungrouped
   2. grouped
   3. categorical
   4. cumulative

5. 
   
   Question 5

   2 PointsThirty students recorded the colors of their eyes, choosing from the colors brown, blue, green, hazel, and black. This data can be appropriately summarized in a(n)______________ .

   1. open-ended distribution
   2. categorical frequency distribution
   3. grouped frequency distribution
   4. upper boundary

6. 
   
   Question 6

   2 PointsWhich of the following pairs of class limits would be appropriate for grouping the numbers 10, 13, 8, and 15 ?

   1. 7-11 and 11-15
   2. 8-10 and 13-15
   3. 8-10 and 11-15
   4. 8-11 and 12-15

7. 
   
   Question 7

   2 PointsFor the class 7 – 20, the upper class limit is

   1. 6.5
   2. 7
   3. 20
   4. 20.5

8. 
   
   Question 8

   2 PointsFor the class 16.3–23.8, the width is 8.5.

   1. True
   2. False

9. 
   
   Question 9

   2 PointsWhat are the boundaries of the class 12-16?

   1. 11.5 and 16.5
   2. 10 and 18
   3. 12 and 16
   4. 4

10. 
    
    Question 10

    2 PointsWhich of the following does not need to be done when constructing a frequency distribution?

    1. select the number of classes desired
    2. find the range
    3. make the class width an even number
    4. use classes that are mutually exclusive

11. 
    
    Question 11

    2 PointsA histogram is a graph that represents the cumulative frequencies for the classes in a frequency distribution.

    1. True
    2. False

12. 
    
    Question 12

    2 PointsFor a given data set, the ogive and the frequency polygon will have the same overall shape.

    1. True
    2. False

13. 
    
    Question 13

    2 PointsWhich of the following is a histogram?

    1. 
       
    2. 
       
    3. 
       
    4. 
       

14. 
    
    Question 14

    2 PointsHow many values are in the data set whose histogram is shown below ?

    1. 6
    2. 22
    3. 76
    4. 72

15. 
    
    Question 15

    2 PointsThe frequency polygon is a graph that displays the data by using lines that connect points plotted for the frequencies at the midpoints of the classes.

    1. True
    2. False

16. 
    
    Question 16

    2 PointsWhich of the following is a frequency polygon?

    1. 
       
    2. 
       
    3. 
       
    4. 
       

17. 
    
    Question 17

    2 PointsThe frequency polygon and the histogram are two different ways to represent the same data set.

    1. True
    2. False

18. 
    
    Question 18

    2 PointsA time series graph is useful for which of the following purposes?

    1. representing relative frequencies of categories at a specific time
    2. representing the cumulative frequencies of the data at a specific time
    3. representing the frequencies of the data, sorted from largest to smallest
    4. representing the changing frequencies of a data category over a period time

19. 
    
    Question 19

    2 PointsWhich graph should be used to represent the frequencies with which certain courses are taken at Highlands Middle School?

    1. Pareto chart
    2. time series graph
    3. pie graph
    4. pictograph

20. 
    
    Question 20

    2 PointsWhen making Pareto charts, data should be arranged ________________________ according to frequency.

    1. from smallest to largest
    2. with increasing time
    3. from largest to smallest
    4. clockwise

21. 
    
    Question 21

    2 PointsWhat type of graph is the figure below?

    1. Pareto chart
    2. pictograph
    3. ogive
    4. pie graph

22. 
    
    Question 22

    2 PointsA weatherman records the amount of rain that fell in Portland, Oregon each day for a year. What type of graph should he use to show how rainfall changes during the year ?

    1. pie graph
    2. pictograph
    3. time series graph
    4. Pareto chart

23. 
    
    Question 23

    2 PointsIf a data set showing types of pizza ordered at a particular restaurant indicates 24 out of 72 orders were for pepperoni pizza, how many degrees would be needed to represent pepperoni pizza in a pie chart?

    1. 90°
    2. 120°
    3. 60°
    4. 150°

24. 
    
    Question 24

    2 PointsThe two variables in a scatter plot are called the

    1. independent variable and dependent variable.
    2. relative frequency and relative proportion.
    3. spread and pattern.
    4. lines and points.

25. 
    
    Question 25

    2 PointsDetermine the type of relationship shown in the figure below.

    1. positive
    2. negative
    3. multiple
    4. There is no relationship.

26. 
    
    Question 26

    2 PointsWhat is the median of the following set of values? 6, 20, 18, 14, 18, 13, 14, 18

    1. 12
    2. 16
    3. 14
    4. 18

27. 
    
    Question 27

    2 PointsFind the mode for the following data? 5, 4, 3, 4, 5, 6, 5, 5, 3, 4

    1. 3
    2. 4
    3. 5
    4. 6

28. 
    
    Question 28

    2 PointsThe number of police officers in selected city districts is listed below. Find the mode. 24, 26, 24, 30, 23, 28, 19, 31, 24, 26, 19

    1. 23
    2. 24
    3. 26
    4. 28

29. 
    
    Question 29

    2 PointsA weighted mean is used when the values of the data set are not all equally represented.

    1. True
    2. False

30. 
    
    Question 30

    2 PointsWhat is the mode of the following data set? 8, 22, 20, 16, 20, 18, 15

    1. 14
    2. 18
    3. 16
    4. 20

31. 
    
    Question 31

    2 PointsFind the mean of the following data set? 8, 3, 6, 1, 12

    1. 3.0
    2. 5.0
    3. 6.0
    4. 7.0

32. 
    
    Question 32

    2 PointsFind the mean of the following set of values.–1, 6, 4, 2, 4Blank 1

    • Blank 1

33. 
    
    Question 33

    2 PointsIf a distribution is negatively skewed as shown in the figure below, the mean will fall to the right of the median and the mode will fall to the left of the median.

    1. True
    2. False

34. 
    
    Question 34

    2 PointsIf a data set has 9 values and a standard deviation 9.4, then the variance is ________.

    1. 88.4
    2. 3.1
    3. 29.5
    4. 28.2

35. 
    
    Question 35

    2 PointsGiven that the mean of a set of data is 25 and the standard deviation is 3, what is the coefficient of variation?

    1. 0.12
    2. 12%
    3. 8.33
    4. 833%

36. 
    
    Question 36

    2 PointsThe variance of a data set is the square root of the standard deviation.

    1. True
    2. False

37. 
    
    Question 37

    2 PointsFind the range of the set of values 4, 15, 3, 10, and 5.

    1. 3
    2. 15
    3. 9
    4. 12

38. 
    
    Question 38

    2 PointsWhat is the range of the set of values 4, 6, 2, 7, and 15.

    1. 4
    2. 6
    3. 17
    4. 13

39. 
    
    Question 39

    2 PointsThe grades for the trigonometry exam are listed below. Find the range. 85, 76, 93, 82, 84, 90, 75

    1. 76
    2. 9
    3. 11
    4. 18

40. 
    
    Question 40

    2 PointsFor a set of data with a mean of 30 and a variance of 25, approximately 68% of the values will fall between 25 to 35.

    1. True
    2. False

41. 
    
    Question 41

    2 PointsGiven that the variance for a data set is 1.20, what is the standard deviation?

    1. 1.10
    2. 1.44
    3. 1.20
    4. 0.60

42. 
    
    Question 42

    2 PointsIf a student scored 78 points on a test where the mean score was 84.5 and the standard deviation was 3.1. The student’s z score is ________.

    1. 27.26
    2. 0.68
    3. –0.68
    4. –2.10

43. 
    
    Question 43

    2 PointsThe percentile corresponding to a given data value X is computed by adding the 0.5 to number of values less than X then dividing by the total number of values in the data set.

    1. True
    2. False

44. 
    
    Question 44

    2 PointsIndicate which student has the higher z score. Art Major Theater Major

    1. The art major has a higher score than the theater major.
    2. The theater major has a higher score than the art major.
    3. Both students have the same score.
    4. Neither student received a positive score; therefore, the higher score cannot be determined.

45. 
    
    Question 45

    2 PointsA baseball player has a batting average of 0.325 each week of the season, with a standard deviation of 0.065. What is the z score when he bats 0.410 one week?

    1. 1.308
    2. 0.410
    3. 0.325
    4. 1.275

46. 
    
    Question 46

    2 Points______________ divide a distribution into four groups, and __________divide a distribution into ten groups.Blank 1

    • Blank 1

47. 
    
    Question 47

    2 PointsIdentify the five-number summary of the following data set. 7, 11, 21, 28, 32, 33, 37, 43.

    1. 7, 16, 30, 35, 43
    2. 7, 21, 30, 33, 43
    3. 7, 11, 28, 33, 43
    4. 7, 21, 26.5, 33, 43

48. 
    
    Question 48

    2 PointsFind the 3 quartiels in the following data set: 88 89 94 97 98 100 99

    1. Q1= 87; Q2=97; Q3= 100
    2. Q1= 89; Q2=97; Q3= 99
    3. Q1= 88; Q2=97; Q3= 98
    4. Q1= 89.5; Q2=97.5; Q3= 99.5

49. 
    
    Question 49

    2 PointsDetermine the mean and the median of the following data set: 56 56 57 60 59 60 62 61

    1. Mean=52.9; Median=60
    2. Mean=60.0; Median=58.5
    3. Mean=59.3; Median=59.5
    4. Mean=57.3; Median=60

50. 
    
    Question 50

    2 PointsDetermine the mean and the median of the following data set: 27 21 27 30 31 35 32

    1. Mean=29.0; Median=30
    2. Mean=29.0; Median=30
    3. Mean=28.5; Median=33
    4. Mean=30.0; Median=29