Deck 2: Frequency Distributions

Question 1

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?? $$\begin{array} { l l } \mathrm { x } & \mathrm { f } \\5 & 6 \\4 & 5 \\3 & 5 \\2 & 3 \\1 & 2 \\\hline\end{array}$$

A)?3
B)?11
C)?16
D)?21

Answer 1

?16

Question 2

Figure 2.1
What scale of measurement was used to measure the scores in the distribution shown in the accompanying graph,Figure 2.1?​

A)​nominal
B)​ordinal
C)​interval or ratio
D)​non-numeric

Answer 2

​interval or ratio

Question 3

For the following frequency distribution of exam scores,how many students had scores lower than X = 80?? $$\begin{array} { l l } \mathrm { X } & \mathrm { f } \\\hline 90 - 94 & 3 \\85 - 89 & 4 \\80 - 84 & 5 \\75 - 79 & 2 \\70 - 74 & 1 \\\hline\end{array}$$

A)?2
B)?3
C)?7
D)?8

Answer 3

?3

Question 4

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

Question 5

For the following frequency distribution of quiz scores,how many individuals took the quiz?? $$\begin{array} { l l } \mathrm { x } & \mathrm { f } \\5 & 6 \\4 & 5 \\3 & 5 \\2 & 3 \\1 & 2 \\\hline\end{array}$$

A)?n = 5
B)?n = 7
C)?n = 15
D)?n = 21

Question 6

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

Question 7

For the following distribution of quiz scores,How many individuals had a score of X = 2?? $$\begin{array} { l l } \mathrm { x } & \mathrm { f } \\5 & 6 \\4 & 5 \\3 & 5 \\2 & 3 \\1 & 2 \\\hline\end{array}$$

A)?1
B)?2
C)?3
D)?5

Question 8

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

Question 9

For the following distribution,what is the highest possible score?? $$\begin{array} { l l } \mathrm { X } & \mathrm { f } \\20 - 25 & 2 \\15 - 19 & 5 \\10 - 14 & 4 \\5 - 9 & 1 \\\hline\end{array}$$

A)?5
B)?20
C)?25
D)?26

Question 10

For the following frequency distribution of exam scores,what is the lowest possible reported score on the exam?? $$\begin{array} { l l } \mathrm { X } & \mathrm { f } \\\hline 90 - 94 & 3 \\85 - 89 & 4 \\80 - 84 & 5 \\75 - 79 & 2 \\70 - 74 & 1 \\\hline\end{array}$$

A)?x = 70
B)?x = 74
C)?x = 90
D)?x=94

Question 11

If the following continuous distribution was shown in a histogram,the bar above the 15-19 interval would reach from ____ to ____.? $$\begin{array} { l l } \mathrm { X } & \mathrm { f } \\20 - 25 & 2 \\15 - 19 & 5 \\10 - 14 & 4 \\5 - 9 & 1 \\\hline\end{array}$$

A)?X = 14.5 to X = 19.5
B)?X = 15.0 to X = 19.0
C)X = 15.5 to X = 18.5?
D)?X = 15.5 to X = 19.5

Question 12

Figure 2.1
For the distribution in the accompanying graph,Figure 2.1,what is the value of ΣX?​

A)​10
B)​15
C)​21
D)​30

Question 13

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

Question 14

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

Question 15

What is the total number of scores for the distribution shown in the following table?? $$\begin{array} { l l } \mathrm { X } & \mathrm { f } \\4 & 3 \\3 & 5 \\2 & 4 \\1 & 2 \\\hline\end{array}$$

A)?4
B)?10
C)?14
D)?37

Question 16

For the following distribution,how many people had scores less than X = 20?? $$\begin{array} { l l } \mathrm { X } & \mathrm { f } \\20 - 25 & 2 \\15 - 19 & 5 \\10 - 14 & 4 \\5 - 9 & 1 \\\hline\end{array}$$

A)?5
B)?10
C)?11
D)?12

Question 17

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 of that table?​

A)​8
B)​9
C)​11
D)​15

Question 18

For the following distribution,how many people had scores greater than X = 14?? $$\begin{array} { l l } \mathrm { X } & \mathrm { f } \\20 - 25 & 2 \\15 - 19 & 5 \\10 - 14 & 4 \\5 - 9 & 1 \\\hline\end{array}$$

A)?5
B)?7
C)?10
D)?11

Question 19

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)​a pie chart

Question 20

For the following distribution,what is the width of each class interval?? $$\begin{array} { l l } X & f \\20 - 24 & 2 \\5 - 19 & 5 \\10 - 14 & 4 \\5 - 9 & 1 \\\hline\end{array}$$ ?

A)4?
B)?4.5
C)?5
D)?10

Question 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)​a pie chart

Question 22

If a set of exam scores forms a symmetrical distribution,what can we 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 students' scores.

Question 23

For the distribution in the following table,what is the percentile rank for X = 7?? $$\begin{array} { r r } X & c \% \\9 & 100 \% \\8 & 80 \% \\7 & 50 \% \\6 & 25 \% \\\hline\end{array}$$

A)?X = 80%
B)?X = 65%
C)?X = 50%
D)?X = 37.5%

Question 24

Figure 2-2
What is the shape for the distribution shown in the accompanying graph in Figure 2.2?​

A)​positively skewed
B)​negatively skewed
C)​symmetrical
D)​normal

Question 25

What term is used to describe the shape of a distribution in which the scores pile up on the left-hand side of the graph and taper off to the right?​

A)​symmetrical
B)​positively skewed
C)​negatively skewed
D)​normal

Question 26

For the distribution in the following table,what is the 90^th percentile?? $$\begin{array} { l c } X & c \% \\30 - 34 & 100 \% \\25 - 29 & 90 \% \\20 - 24 & 60 \% \\15 - 19 & 20 \% \\\hline\end{array}$$

A)X = 24.5?
B)?X = 25
C)?X = 29
D)?X = 29.5

Question 27

? $$\begin{array} { l | l } 8 & 314 \\7 & 945 \\6 & 7042 \\5 & 68 \\4 & 14\end{array}$$ Figure 2-3

-For the scores shown in the accompanying stem and leaf display,Figure 2-3,what is the highest score in the distribution??

A)?8
B)?83
C)?84
D)?7042

Question 28

Figure 2-2
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

Question 29

For the distribution in the following table,what is the percentile rank for X = 8.5?? $$\begin{array} { l c } \mathrm { X } & \mathrm { c } \% \\9 & 100 \% \\8 & 80 \% \\7 & 50 \% \\6 & 25 \% \\\hline\end{array}$$

A)X = 90%?
B)?X = 80%
C)?X = 65%
D)?X = 50%

Question 30

For the distribution in the following table,what is the 50^th percentile?? $$\begin{array} { l c } \mathrm { X } & \mathrm { c } \% \\9 & 100 \% \\8 & 80 \% \\7 & 50 \% \\6 & 25 \% \\\hline\end{array}$$

A)?X = 8
B)?X = 7.5
C)?X = 7
D)?X = 6.5

Question 31

The normal distribution is ____.​

A)​asymmetric
B)​skewed to the right
C)​skewed to the left
D)​symmetric

Question 32

For the distribution in the following table,what is the percentile rank for X = 24.5?? $$\begin{array} { l l } X & c \% \\30 - 34 & 100 \% \\25 - 29 & 90 \% \\20 - 24 & 60 \% \\15 - 19 & 20 \% \\\hline\end{array}$$

A)?40%
B)?60%
C)?75%
D)?90%

Question 33

For the distribution in the following table,what is the 90^th percentile? $$\begin{array} { c c } \mathrm { X } & \mathrm { c } \% \\9 & 100 \% \\8 & 80 \% \\7 & 50 \% \\6 & 25 \% \\\hline\end{array}$$

A)X = 9.5?
B)?X = 9
C)?X = 8.5
D)?X = 8

Question 34

For the distribution in the following table,what is the 50^th percentile?? $$\begin{array} { l l } X & c \% \\50 - 59 & 100 \% \\40 - 49 & 90 \% \\30 - 39 & 60 \% \\20 - 29 & 20 \% \\\hline\end{array}$$

A) X = 32?
B)? X = 35
C) ?X = 35
D) ?X = 39

Question 35

For the distribution in the following table,what is the percentile rank for X = 32?? $$\begin{array} { l c } X & c \% \\30 - 34 & 100 \% \\25 - 29 & 90 \% \\20 - 24 & 60 \% \\15 - 19 & 20 \% \\\hline\end{array}$$

A)92%?
B)?92.5
C)?95%
D)?97.5%

Question 36

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

Question 37

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

Question 38

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 ratio

Question 39

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

Question 40

? $$\begin{array} { l | l } 8 & 314 \\7 & 945 \\6 & 7042 \\5 & 68 \\4 & 14\end{array}$$ Figure 2-3

-If the following scores were placed in a stem and leaf display,how many leaves would be associated with a stem of 6??Scores: 26,45,62,11,21,55,6664,55,46,38,41,27,2936,51,32,25,34,44,59?

A)?1
B)?2
C)?3
D)?4

Question 41

There is a total of n = 5 scores in the distribution shown in the following table.? $$\begin{array} { l l } \mathrm { X } & \mathrm { f } \\\hline 5 & 2 \\4 & 8 \\3 & 5 \\2 & 3 \\1 & 2 \\\hline\end{array}$$

Question 42

For the following distribution,seven people have scores greater than X = 14.? $$\begin{array} { l c } \mathrm { X } & \mathrm { f } \\20 - 24 & 2 \\15 - 19 & 5 \\10 - 14 & 4 \\5 - 9 & 1 \\\hline\end{array}$$

Question 43

A professor records the number of students who are absent each day for the semester.Because this is a numeric,discrete variable,a bar graph should be used to show the frequency distribution.​

Question 44

In the following distribution,the scores are grouped into class intervals that are each 5 points wide.? $$\begin{array} { l c } \mathrm { X } & \mathrm { f } \\20 - 24 & 2 \\15 - 19 & 5 \\10 - 14 & 4 \\5 - 9 & 1 \\\hline\end{array}$$

Question 45

A grouped frequency distribution table does not provide enough information to obtain a complete listing of the original set of scores.

Question 46

In a grouped frequency distribution table,the top value in each class interval should be a multiple of the interval width.​

Question 47

For the following distribution of scores,20% of the individuals have scores of X = 1.? $$\begin{array} { l l } \mathrm { X } & \mathrm { f } \\\hline 5 & 2 \\4 & 8 \\3 & 5 \\2 & 3 \\1 & 2 \\\hline\end{array}$$

Question 48

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.​

Question 49

In a grouped frequency distribution table,one interval is identified as 30-34.This interval has a width of 5 points.

Question 50

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.​

Question 51

For the following distribution of scores,SX² = 92.? $$\begin{array} { l l } X & f \\4 & 1 \\3 & 2 \\2 & 3 \\1 & 2 \\\hline\end{array}$$

Question 52

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.​

Question 53

A histogram is constructed so that adjacent bars touch.​

Question 54

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.​

Question 55

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.​

Question 56

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.​

Question 57

If a set of scores covers a range of 80 points,the grouped frequency table should use an interval width of 8 points.

Question 58

It is customary to list the score categories in a frequency distribution from the highest down to the lowest.​

Question 59

A grouped frequency distribution table lists one interval as,20-29.The width of this interval is 9 points.

Question 60

For the following distribution of scores,SX = 18.? $$\begin{array} { l l } X & f \\4 & 1 \\3 & 2 \\2 & 3 \\1 & 2 \\\hline\end{array}$$

Question 61

Briefly explain what information is available in a regular frequency distribution table that is not available in a grouped table.​

Question 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.​

Question 63

The scores for a very easy exam would probably form a positively skewed distribution.​

Question 64

A score equal to the 5th percentile is one of the highest scores in the distribution.​

Question 65

3 Frequency Distribution Graphs

Question 66

Construct a stem and leaf display for the following scores.​30,23,58,28,35,67,27,42,46,3551,33,18,33,25,38,48,36,31,39

Question 67

3 Frequency Distribution Graphs

Question 68

Find each value requested for the set of scores in the following frequency distribution table.
a. n
b. ΣX
c. ΣX²

Question 69

For the distribution in the following table,the percentile rank for X = 25 is 82%.? $$\begin{array} { l r } \mathrm { X } & \mathrm { c } \% \\\hline 25 - 29 & 100 \% \\20 - 24 & 80 \% \\15 - 19 & 20 \% \\\hline\end{array}$$

Question 70

For the following scores:​
a. Construct a frequency distribution table.
b. Sketch a histogram of the frequency distribution.6, 4, 3, 5, 4, 2, 45, 4, 6, 1, 4, 5, 2

Question 71

A stem and leaf display does not provide enough information to obtain a complete listing of the original set of scores.​

Question 72

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.​

Question 73

For the distribution in the following table,the percentile rank for X = 19.5 is 20%.? $$\begin{array} { l r } \mathrm { X } & \mathrm { c } \% \\\hline 25 - 29 & 100 \% \\20 - 24 & 80 \% \\15 - 19 & 20 \% \\\hline\end{array}$$

Question 74

The normal distribution is an example of a symmetrical distribution.

Question 75

For the distribution in the following table,the 80th percentile is X = 24.? $$\begin{array} { l r } X & c \% \\\hline 25 - 29 & 100 \% \\20 - 24 & 80 \% \\15 - 19 & 20 \% \\\hline\end{array}$$

Question 76

For the distribution in the following table,the 90th percentile is X = 27.5.? $$\begin{array} { l r } \mathrm { X } & \mathrm { c } \% \\\hline 25 - 29 & 100 \% \\20 - 24 & 80 \% \\15 - 19 & 20 \%\end{array}$$