Preview Extract

Gravetter Chapter 02
Student: ___________________________________________________________________________
1. What is the total number of scores for the distribution shown in the following table?
X f
4 3
3 5
2 4
1 2
A. 4
B. 10
C. 14
D. 37
2. A sample of n = 15 scores ranges from a high of X = 11 to a low of X = 3. If these scores are placed in a
frequency distribution table, how many X values will be listed in the first column?
A. 8
B. 9
C. 11
D. 15
3. For the following frequency distribution of quiz scores, how many individuals took the quiz?
X f
5 6
4 5
3 5
2 3
1 2
A. n = 5
B. n = 15
C. n = 21
D. cannot be determined
4. For the following distribution of quiz scores, if a score of X = 3 or higher is needed for a passing grade, how
many individuals passed?
X f
5 6
4 5
3 5
2 3
1 2
A. 3
B. 11
C. 16
D. cannot be determined
5. For the following distribution of quiz scores, How many individuals had a score of X = 2?
X f
5 6
4 5
3 5
2 3
1 2
A. 1
B. 3
C. 5
D. cannot be determined
6. For the following frequency distribution of exam scores, what is the lowest score on the exam?
X
f
90-94 3
85-89 4
80-84 5
75-79 2
70-74 1
A. x = 70
B. x = 74
C. x = 90
D. cannot be determined
7. For the following frequency distribution of exam scores, how many students had scores lower than X = 80?
X
f
90-94 3
85-89 4
80-84 5
75-79 2
70-74 1
A. 2
B. 3
C. 7
D. cannot be determined
8. In a grouped frequency distribution one interval is listed as 50-59. Assuming that the scores are measuring a
continuous variable, what are the real limits of this interval?
A. 50 and 59
B. 50.5 and 59.5
C. 49.5 and 59.5
D. 49.5 and 60.5
9. For the following distribution, how many people had scores less than X = 19?
X
f
20-25 2
15-19 5
10-14 4
5-9
1
A. 5
B. 10
C. 11
D. cannot be determined
10. For the following distribution, what is the highest score?
X
f
20-25 2
15-19 5
10-14 4
5-9
1
A. 5
B. 20
C. 25
D. cannot be determined
11. For the following distribution, how many people had scores greater than X = 14?
X
f
20-25 2
15-19 5
10-14 4
5-9
1
A. 5
B. 7
C. 11
D. cannot be determined
12. For the following distribution, what is the width of each class interval?
X
f
20-25 2
15-19 5
10-14 4
5-9
1
A. 4
B. 4.5
C. 5
D. 10
13. If the following distribution was shown in a histogram, the bar above the 15-19 interval would reach from
____ to ____.
X
f
20-25 2
15-19 5
10-14 4
5-9
1
A. X = 14.5 to X = 19.5
B. X = 15.5 to X = 18.5
C. X = 15.5 to X = 19.5
D. X = 15.0 to X = 19.0
14. In a frequency distribution graph, frequencies are presented on the ____ and the scores (categories) are
listed on the ____.
A. X axis/Y axis
B. horizontal line/vertical line
C. Y axis/X axis
D. class interval/horizontal line
15. What frequency distribution graph is appropriate for scores measured on a nominal scale?
A. only a histogram
B. only a polygon
C. either a histogram or a polygon
D. only a bar graph
16. The classrooms in the Psychology department are numbered from 100 to 108. A professor records the
number of classes held in each room during the fall semester. If these values are presented in a frequency
distribution graph, what kind of graph would be appropriate?
A. a histogram
B. a polygon
C. a histogram or a polygon
D. a bar graph
17. A researcher records the number of traffic tickets issued in each county along the New York State thruway.
If the results are presented in a frequency distribution graph, what kind of graph should be used?
A. a bar graph
B. a histogram
C. a polygon
D. either a histogram or a polygon
18. What kind of frequency distribution graph shows the frequencies as bars, with no space between adjacent
bars?
A. a bar graph
B. a histogram
C. a polygon
D. all of the above
19.
Figure 2.1
What scale of measurement was used to measure the scores in the distribution shown in the accompanying
graph?
A. nominal
B. ordinal
C. interval or ratio
D. cannot be determined
20.
Figure 2.1
For the distribution in the accompanying graph, what is the value of SX?
A. 15
B. 21
C. 30
D. cannot be determined
21. What kind of frequency distribution graph shows the frequencies as bars that are separated by spaces?
A. a bar graph
B. a histogram
C. a polygon
D. all of the above
22. If a frequency distribution is shown in a bar graph, what scale was used to measure the scores?
A. nominal
B. nominal or ordinal
C. ratio
D. interval or ration
23. The normal distribution is an example of ____.
A. a histogram showing data from a sample
B. a polygon showing data from a sample
C. a bar graph showing data from a population
D. a smooth curve showing data from a population
24. If a set of exam scores forms a symmetrical distribution, what can you conclude about the students scores?
A. Most of the students had relatively high scores.
B. Most of the students had relatively low scores.
C. About 50% of the students had high scores and the rest had low scores.
D. It is not possible the draw any conclusions about the studentsโ scores.
25. What term is used to describe the shape of a distribution in which the scores pile up on the lefthand side of
the graph and taper off to the right?
A. symmetrical
B. positively skewed
C. negatively skewed
D. normal
26.
Figure 2-2
What is the shape for the distribution shown in the accompanying graph?
A. positively skewed
B. negatively skewed
C. symmetrical
D. normal
27. A skewed distribution typically has ____ tail(s) and a normal distribution has ____ tail(s).
A. 1, 1
B. 1, 2
C. 2, 1
D. 2, 2
28. The students in a psychology class seemed to think that the midterm exam was very easy. If they are correct,
what is the most likely shape for the distribution of exam scores?
A. symmetrical
B. positively skewed
C. negatively skewed
D. normal
29. In a distribution with positive skew, scores with the highest frequencies are ____.
A. on the right side of the distribution
B. on the left side of the distribution
C. in the middle of the distribution
D. represented at two distinct peaks
30. What is the shape of the distribution for the following set of data?
Scores: 1, 2, 3, 3, 4, 4, 4 5, 5, 5, 5, 6
A. symmetrical
B. positively skewed
C. negatively skewed
D. cumulative
31. For the distribution in the following table, what is the 50th percentile?
X
c%
9
100%
8
80%
7
50%
6
25%
A. X = 8
B. X = 7.5
C. X = 7
D. X = 6.5
32. For the distribution in the following table, what is the percentile rank for X = 8.5?
X
c%
9
100%
8
80%
7
50%
6
25%
A. X = 90%
B. X = 80%
C. X = 65%
D. X = 50%
33. For the distribution in the following table, what is the 90th percentile?
X
c%
9
100%
8
80%
7
50%
6
25%
A. X = 9.5
B. X = 9
C. X = 8.5
D. X = 8
34. For the distribution in the following table, what is the percentile rank for X = 7?
X
c%
9
100%
8
80%
7
50%
6
25%
A. X = 80%
B. X = 65%
C. X = 50%
D. X = 37.5%
35. For the distribution in the following table, what is the 90th percentile?
X
c%
30-34 100%
25-29 90%
20-24 60%
15-19 20%
A. X = 24.5
B. X = 25
C. X = 29
D. X = 29.5
36. For the distribution in the following table, what is the percentile rank for X = 24.5?
X
c%
30-34 100%
25-29 90%
20-24 60%
15-19 20%
A. 40%
B. 60%
C. 75%
D. 90%
37. For the distribution in the following table, what is the 50th percentile?
X
c%
50-59 100%
40-49 90%
30-39 60%
20-29 20%
A. X = 32
B. X = 35
C. X = 37
D. X = 39
38. For the distribution in the following table, what is the percentile rank for X = 32?
X
c%
30-34 100%
25-29 90%
20-24 60%
15-19 20%
A. 92%
B. 92.5
C. 95%
D. 97.5%
39.
Figure 2-3
For the scores shown in the accompanying stem and leaf display, what is the highest score in the distribution?
A. 8
B. 83
C. 84
D. 7042
40. If the following scores were placed in a stem and leaf display, how many leaves would be associated with a
stem of 6?
Scores: 26, 45, 62, 11, 21, 55, 66
64, 55, 46, 38, 41, 27, 29
36, 51, 32, 25, 34, 44, 59
A. 1
B. 2
C. 3
D. 4
41. A researcher surveys a sample of n = 200 college students and asks each person to identify his or her
favorite movie from the past year. If the data were organized in a frequency distribution table, the first column
would be a list of movies.
True False
42. A group of quiz scores ranges from 3 to 10, but no student had a score of X = 5. If the scores are put in a
frequency distribution table, X = 5 would not be listed in the X column.
True False
43. It is customary to list the score categories in a frequency distribution from the highest down to the lowest.
True False
44. There is a total of n = 5 scores in the distribution shown in the following table.
X
f
5
2
4
8
3
5
2
3
1
2
True False
45. For the following distribution of scores, 20% of the individuals have scores of X = 1.
X
f
5
2
4
8
3
5
2
3
1
2
True False
46. For the following distribution of scores, SX = 18.
X
f
4
1
3
2
2
3
1
2
True False
47. For the following distribution of scores, SX2 = 92.
X
f
4
1
3
2
2
3
1
2
True False
48. A grouped frequency distribution table lists one interval as, 20-29. The width of this interval is 9 points.
True False
49. In a grouped frequency distribution table, one interval is identified as 30-34. This interval has a width of 5
points.
True False
50. If a set of scores covers a range of 80 points, the grouped frequency table should use an interval width of 8
points.
True False
51. A set of scores ranges from X = 18 to X= 91. If the scores are put in a grouped frequency distribution table
with an interval width of 10 points, the top interval would be 91-100.
True False
52. In a grouped frequency distribution table, the top value in each class interval should be a multiple of the
interval width.
True False
53. A set of scores ranges from a low of X = 18 to a high of X = 98. If the scores are put in a grouped frequency
distribution table with an interval width of 10 points, the bottom interval should be 10-19.
True False
54. A grouped frequency distribution table does not provide enough information to obtain a complete listing of
the original set of scores.
True False
55. For the following distribution, seven people have scores greater than X = 14.
X
f
20-24
2
15-19
5
10-14
4
5-9
1
True False
56. In the following distribution, the scores are grouped into class intervals that are each 5 points wide.
X
f
20-24
2
15-19
5
10-14
4
5-9
1
True False
57. A professor records the number of students who are absent each day for the semester. Because this is a
discrete variable, a bar graph should be used to show the frequency distribution.
True False
58. A researcher surveys a sample of n = 200 college students and asks each person to identify his or her
favorite movie from the past year. If the results are presented in a frequency distribution graph, the researcher
should use a bar graph.
True False
59. If it is appropriate to present a distribution of scores in a polygon, then it would also be appropriate to
present the scores in a bar graph.
True False
60. A histogram is constructed so that adjacent bars touch.
True False
61. The normal distribution is an example of a symmetrical distribution.
True False
62. In February in New York, the daily high temperatures are typically low with only a few relatively warm
days. A frequency distribution showing the daily high temperatures would probably form a negatively skewed
distribution.
True False
63. The scores for a very easy exam would probably form a positively skewed distribution.
True False
64. If a set of exam scores forms a negatively skewed distribution, it suggests that the majority of the students
did not score well on the exam.
True False
65. A score equal to the 5th percentile is one of the highest scores in the distribution.
True False
66. For the distribution in the following table, the 80th percentile is X = 24.
X
c%
25-29 100%
20-24
80%
15-19
20%
True False
67. For the distribution in the following table, the percentile rank for X = 19.5 is 20%.
X
c%
25-29 100%
20-24
80%
15-19
20%
True False
68. For the distribution in the following table, the 90th percentile is X = 27.5.
X
c%
25-29 100%
20-24
80%
15-19
20%
True False
69. For the distribution in the following table, the percentile rank for X = 25 is 82%.
X
c%
25-29 100%
20-24
80%
15-19
20%
True False
70. A stem and leaf display does not provide enough information to obtain a complete listing of the original set
of scores.
True False
71. Find each value requested for the set of scores in the following frequency distribution table.
a. n
b. SX
c. SX2
X f
5 1
4 2
3 3
2 5
1 2
72. Briefly explain what information is available in a regular frequency distribution table that is not available in
a grouped table.
73. For the following scores:
a. Construct a frequency distribution table.
b. Sketch a histogram of the frequency distribution.
6, 4, 3, 5, 4, 2, 4
5, 4, 6, 1, 4, 5, 2
74. For the distribution shown in the following table:
a. Find the percentile rank for X = 14.5.
X
b. Find the 60th percentile.
25-29
c. Find the percentile rank for X = 11.
20-24
d. Find the 66th percentile.
15-19
10-14
5 8 32%
5-9
3 3 12%
75. Construct a stem and leaf display for the following scores.
30, 23, 58, 28, 35, 67, 27, 42, 46, 35
51, 33, 18, 33, 25, 38, 48, 36, 31, 39
f cf
c%
4 25 100%
6 21 84%
7 15 60%
Gravetter Chapter 02 Key
1. What is the total number of scores for the distribution shown in the following table?
X f
4 3
3 5
2 4
1 2
A. 4
B. 10
C. 14
D. 37
2. A sample of n = 15 scores ranges from a high of X = 11 to a low of X = 3. If these scores are placed in a
frequency distribution table, how many X values will be listed in the first column?
A. 8
B. 9
C. 11
D. 15
3. For the following frequency distribution of quiz scores, how many individuals took the quiz?
X f
5 6
4 5
3 5
2 3
1 2
A. n = 5
B. n = 15
C. n = 21
D. cannot be determined
4. For the following distribution of quiz scores, if a score of X = 3 or higher is needed for a passing grade, how
many individuals passed?
X f
5 6
4 5
3 5
2 3
1 2
A. 3
B. 11
C. 16
D. cannot be determined
5. For the following distribution of quiz scores, How many individuals had a score of X = 2?
X f
5 6
4 5
3 5
2 3
1 2
A. 1
B. 3
C. 5
D. cannot be determined
6. For the following frequency distribution of exam scores, what is the lowest score on the exam?
X
f
90-94 3
85-89 4
80-84 5
75-79 2
70-74 1
A. x = 70
B. x = 74
C. x = 90
D. cannot be determined
7. For the following frequency distribution of exam scores, how many students had scores lower than X = 80?
X
f
90-94 3
85-89 4
80-84 5
75-79 2
70-74 1
A. 2
B. 3
C. 7
D. cannot be determined
8. In a grouped frequency distribution one interval is listed as 50-59. Assuming that the scores are measuring a
continuous variable, what are the real limits of this interval?
A. 50 and 59
B. 50.5 and 59.5
C. 49.5 and 59.5
D. 49.5 and 60.5
9. For the following distribution, how many people had scores less than X = 19?
X
f
20-25 2
15-19 5
10-14 4
5-9
1
A. 5
B. 10
C. 11
D. cannot be determined
10. For the following distribution, what is the highest score?
X
f
20-25 2
15-19 5
10-14 4
5-9
1
A. 5
B. 20
C. 25
D. cannot be determined
11. For the following distribution, how many people had scores greater than X = 14?
X
f
20-25 2
15-19 5
10-14 4
5-9
1
A. 5
B. 7
C. 11
D. cannot be determined
12. For the following distribution, what is the width of each class interval?
X
f
20-25 2
15-19 5
10-14 4
5-9
1
A. 4
B. 4.5
C. 5
D. 10
13. If the following distribution was shown in a histogram, the bar above the 15-19 interval would reach from
____ to ____.
X
f
20-25 2
15-19 5
10-14 4
5-9
1
A. X = 14.5 to X = 19.5
B. X = 15.5 to X = 18.5
C. X = 15.5 to X = 19.5
D. X = 15.0 to X = 19.0
14. In a frequency distribution graph, frequencies are presented on the ____ and the scores (categories) are
listed on the ____.
A. X axis/Y axis
B. horizontal line/vertical line
C. Y axis/X axis
D. class interval/horizontal line
15. What frequency distribution graph is appropriate for scores measured on a nominal scale?
A. only a histogram
B. only a polygon
C. either a histogram or a polygon
D. only a bar graph
16. The classrooms in the Psychology department are numbered from 100 to 108. A professor records the
number of classes held in each room during the fall semester. If these values are presented in a frequency
distribution graph, what kind of graph would be appropriate?
A. a histogram
B. a polygon
C. a histogram or a polygon
D. a bar graph
17. A researcher records the number of traffic tickets issued in each county along the New York State thruway.
If the results are presented in a frequency distribution graph, what kind of graph should be used?
A. a bar graph
B. a histogram
C. a polygon
D. either a histogram or a polygon
18. What kind of frequency distribution graph shows the frequencies as bars, with no space between adjacent
bars?
A. a bar graph
B. a histogram
C. a polygon
D. all of the above
19.
Figure 2.1
What scale of measurement was used to measure the scores in the distribution shown in the accompanying
graph?
A. nominal
B. ordinal
C. interval or ratio
D. cannot be determined
20.
Figure 2.1
For the distribution in the accompanying graph, what is the value of SX?
A. 15
B. 21
C. 30
D. cannot be determined
21. What kind of frequency distribution graph shows the frequencies as bars that are separated by spaces?
A. a bar graph
B. a histogram
C. a polygon
D. all of the above
22. If a frequency distribution is shown in a bar graph, what scale was used to measure the scores?
A. nominal
B. nominal or ordinal
C. ratio
D. interval or ration
23. The normal distribution is an example of ____.
A. a histogram showing data from a sample
B. a polygon showing data from a sample
C. a bar graph showing data from a population
D. a smooth curve showing data from a population
24. If a set of exam scores forms a symmetrical distribution, what can you conclude about the students scores?
A. Most of the students had relatively high scores.
B. Most of the students had relatively low scores.
C. About 50% of the students had high scores and the rest had low scores.
D. It is not possible the draw any conclusions about the studentsโ scores.
25. What term is used to describe the shape of a distribution in which the scores pile up on the lefthand side of
the graph and taper off to the right?
A. symmetrical
B. positively skewed
C. negatively skewed
D. normal
26.
Figure 2-2
What is the shape for the distribution shown in the accompanying graph?
A. positively skewed
B. negatively skewed
C. symmetrical
D. normal
27. A skewed distribution typically has ____ tail(s) and a normal distribution has ____ tail(s).
A. 1, 1
B. 1, 2
C. 2, 1
D. 2, 2
28. The students in a psychology class seemed to think that the midterm exam was very easy. If they are correct,
what is the most likely shape for the distribution of exam scores?
A. symmetrical
B. positively skewed
C. negatively skewed
D. normal
29. In a distribution with positive skew, scores with the highest frequencies are ____.
A. on the right side of the distribution
B. on the left side of the distribution
C. in the middle of the distribution
D. represented at two distinct peaks
30. What is the shape of the distribution for the following set of data?
Scores: 1, 2, 3, 3, 4, 4, 4 5, 5, 5, 5, 6
A. symmetrical
B. positively skewed
C. negatively skewed
D. cumulative
31. For the distribution in the following table, what is the 50th percentile?
X
c%
9
100%
8
80%
7
50%
6
25%
A. X = 8
B. X = 7.5
C. X = 7
D. X = 6.5
32. For the distribution in the following table, what is the percentile rank for X = 8.5?
X
c%
9
100%
8
80%
7
50%
6
25%
A. X = 90%
B. X = 80%
C. X = 65%
D. X = 50%
33. For the distribution in the following table, what is the 90th percentile?
X
c%
9
100%
8
80%
7
50%
6
25%
A. X = 9.5
B. X = 9
C. X = 8.5
D. X = 8
34. For the distribution in the following table, what is the percentile rank for X = 7?
X
c%
9
100%
8
80%
7
50%
6
25%
A. X = 80%
B. X = 65%
C. X = 50%
D. X = 37.5%
35. For the distribution in the following table, what is the 90th percentile?
X
c%
30-34 100%
25-29 90%
20-24 60%
15-19 20%
A. X = 24.5
B. X = 25
C. X = 29
D. X = 29.5
36. For the distribution in the following table, what is the percentile rank for X = 24.5?
X
c%
30-34 100%
25-29 90%
20-24 60%
15-19 20%
A. 40%
B. 60%
C. 75%
D. 90%
37. For the distribution in the following table, what is the 50th percentile?
X
c%
50-59 100%
40-49 90%
30-39 60%
20-29 20%
A. X = 32
B. X = 35
C. X = 37
D. X = 39
38. For the distribution in the following table, what is the percentile rank for X = 32?
X
c%
30-34 100%
25-29 90%
20-24 60%
15-19 20%
A. 92%
B. 92.5
C. 95%
D. 97.5%
39.
Figure 2-3
For the scores shown in the accompanying stem and leaf display, what is the highest score in the distribution?
A. 8
B. 83
C. 84
D. 7042
40. If the following scores were placed in a stem and leaf display, how many leaves would be associated with a
stem of 6?
Scores: 26, 45, 62, 11, 21, 55, 66
64, 55, 46, 38, 41, 27, 29
36, 51, 32, 25, 34, 44, 59
A. 1
B. 2
C. 3
D. 4
41. A researcher surveys a sample of n = 200 college students and asks each person to identify his or her
favorite movie from the past year. If the data were organized in a frequency distribution table, the first column
would be a list of movies.
TRUE
42. A group of quiz scores ranges from 3 to 10, but no student had a score of X = 5. If the scores are put in a
frequency distribution table, X = 5 would not be listed in the X column.
FALSE
43. It is customary to list the score categories in a frequency distribution from the highest down to the lowest.
TRUE
44. There is a total of n = 5 scores in the distribution shown in the following table.
X
f
5
2
4
8
3
5
2
3
1
2
FALSE
45. For the following distribution of scores, 20% of the individuals have scores of X = 1.
X
f
5
2
4
8
3
5
2
3
1
2
FALSE
46. For the following distribution of scores, SX = 18.
X
f
4
1
3
2
2
3
1
2
TRUE
47. For the following distribution of scores, SX2 = 92.
X
f
4
1
3
2
2
3
1
2
FALSE
48. A grouped frequency distribution table lists one interval as, 20-29. The width of this interval is 9 points.
FALSE
49. In a grouped frequency distribution table, one interval is identified as 30-34. This interval has a width of 5
points.
TRUE
50. If a set of scores covers a range of 80 points, the grouped frequency table should use an interval width of 8
points.
FALSE
51. A set of scores ranges from X = 18 to X= 91. If the scores are put in a grouped frequency distribution table
with an interval width of 10 points, the top interval would be 91-100.
FALSE
52. In a grouped frequency distribution table, the top value in each class interval should be a multiple of the
interval width.
FALSE
53. A set of scores ranges from a low of X = 18 to a high of X = 98. If the scores are put in a grouped frequency
distribution table with an interval width of 10 points, the bottom interval should be 10-19.
TRUE
54. A grouped frequency distribution table does not provide enough information to obtain a complete listing of
the original set of scores.
TRUE
55. For the following distribution, seven people have scores greater than X = 14.
X
f
20-24
2
15-19
5
10-14
4
5-9
1
TRUE
56. In the following distribution, the scores are grouped into class intervals that are each 5 points wide.
X
f
20-24
2
15-19
5
10-14
4
5-9
1
TRUE
57. A professor records the number of students who are absent each day for the semester. Because this is a
discrete variable, a bar graph should be used to show the frequency distribution.
FALSE
58. A researcher surveys a sample of n = 200 college students and asks each person to identify his or her
favorite movie from the past year. If the results are presented in a frequency distribution graph, the researcher
should use a bar graph.
TRUE
59. If it is appropriate to present a distribution of scores in a polygon, then it would also be appropriate to
present the scores in a bar graph.
FALSE
60. A histogram is constructed so that adjacent bars touch.
TRUE
61. The normal distribution is an example of a symmetrical distribution.
TRUE
62. In February in New York, the daily high temperatures are typically low with only a few relatively warm
days. A frequency distribution showing the daily high temperatures would probably form a negatively skewed
distribution.
TRUE
63. The scores for a very easy exam would probably form a positively skewed distribution.
FALSE
64. If a set of exam scores forms a negatively skewed distribution, it suggests that the majority of the students
did not score well on the exam.
TRUE
65. A score equal to the 5th percentile is one of the highest scores in the distribution.
FALSE
66. For the distribution in the following table, the 80th percentile is X = 24.
X
c%
25-29 100%
20-24
80%
15-19
20%
FALSE
67. For the distribution in the following table, the percentile rank for X = 19.5 is 20%.
X
c%
25-29 100%
20-24
80%
15-19
20%
TRUE
68. For the distribution in the following table, the 90th percentile is X = 27.5.
X
c%
25-29 100%
20-24
80%
15-19
20%
FALSE
69. For the distribution in the following table, the percentile rank for X = 25 is 82%.
X
c%
25-29 100%
20-24
80%
15-19
20%
TRUE
70. A stem and leaf display does not provide enough information to obtain a complete listing of the original set
of scores.
FALSE
71. Find each value requested for the set of scores in the following frequency distribution table.
a. n
b. SX
c. SX2
X f
5 1
4 2
3 3
2 5
1 2
a. n = 13
b. SX = 34
c. SX2 = 106
72. Briefly explain what information is available in a regular frequency distribution table that is not available in
a grouped table.
A regular table identifies each individual score exactly. However, in a grouped table, you simply know that an
individual score is located in a particular interval, but you do not know its exact value.
73. For the following scores:
a. Construct a frequency distribution table.
b. Sketch a histogram of the frequency distribution.
6, 4, 3, 5, 4, 2, 4
5, 4, 6, 1, 4, 5, 2
74. For the distribution shown in the following table:
a. Find the percentile rank for X = 14.5.
X
b. Find the 60th percentile.
25-29
c. Find the percentile rank for X = 11.
20-24
d. Find the 66th percentile.
15-19
10-14
5 8 32%
5-9
3 3 12%
a. 32%
b. X = 19.5
c. 18*
d. X = 20.75
f cf
c%
4 25 100%
6 21 84%
7 15 60%
75. Construct a stem and leaf display for the following scores.
30, 23, 58, 28, 35, 67, 27, 42, 46, 35
51, 33, 18, 33, 25, 38, 48, 36, 31, 39
6|7
5 | 18
4 | 826
3 | 033586159
2 | 3857
1|8

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