Deck 2: Frequency Distributions.

Question 1

For the following data,N = _____. $$\begin{array} { c c } X & \mathrm { f } \\\hline 4 & 2 \\3 & 4 \\2 & 3 \\1 & 2\end{array}$$

A)10
B)11
C)28
D)Cannot be determined from the table

Answer 1

11

Question 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)10
D)It depends on whether any scores have a zero frequency.

Answer 2

9

Question 3

A set of scores ranges from a high of X = 72 to a low of X = 28.If these scores were put in a grouped frequency distribution table,what would be the best choice for the interval width?

A)2 points
B)5 points
C)7 points
D)10 points

Answer 3

5 points

Question 4

For the data in the following table,what is the value of ?X? $$\begin{array} { l l } X & f \\\hline 4 & 1 \\3 & 2 \\2 & 4 \\1 & 2 \\\hline\end{array}$$

A)10
B)15
C)20
D)Cannot be determined from the table

Question 5

A set of scores ranges from a high of X = 24 to a low of X = 5.If these scores were put in a frequency distribution table with an interval width of 2 points,which of the following would be the top interval in the table?

A)4-5
B)23-24
C)24-25
D)22-24

Question 6

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

A)7
B)12
C)19
D)Cannot be determined

Question 7

For the following distribution,how many people had scores less than X = 19? $$\begin{array} { l l } X & \text { f } \\\hline 20 - 24 & 2 \\15 - 19 & 5 \\10 - 14 & 4 \\5 - 9 & 1\end{array}$$

A)5
B)10
C)11
D)Cannot be determined

Question 8

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

A)5
B)15
C)21
D)Cannot be determined

Question 9

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

A)X = 70
B)X = 74
C)X = 90
D)Cannot be determined

Question 10

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

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

Question 11

A biologist records the number of trout,bass,perch,and other types of fish caught in a local lake during a 2-week period.If the results are organized in a frequency distribution table,what values would be listed in the first column?

A)Frequencies
B)Different types of fish
C)The 14 days
D)The days of the week

Question 12

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 for 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 13

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

A)2
B)3
C)7
D)Cannot be determined

Question 14

For the following distribution of quiz scores,if a score of X = 3 or higher is needed for a passing grade,how many individuals failed the quiz? $$\begin{array} { l l } X & f \\\hline 5 & 6 \\4 & 5 \\3 & 5 \\2 & 3 \\1 & 2\end{array}$$

A)2 X f
B)3 5 6
C)5 4 5
D)10 3 5 2 3
1 2

Question 15

A set of scores ranges from a high of X = 96 to a low of X = 11.If these scores were placed in a grouped frequency distribution table,what is the best value for the interval width?

A)5 points
B)8 points
C)9 points
D)10 points

Question 16

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

A)1
B)3
C)5
D)Cannot be determined

Question 17

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

A)2%
B)5%
C)10%
D)20%

Question 18

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,what would be listed in the first column?

A)A list of movies
B)A list of students
C)A list of frequencies
D)None of the other options is correct

Question 19

For the following frequency distribution,what is ?X? $$\begin{array} { l l } X & \mathrm { f } \\\hline 30 - 34 & 1 \\25 - 29 & 1 \\20 - 24 & 3 \\15 - 19 & 2 \\10 - 14 & 1\end{array}$$

A)8
B)90
C)110
D)Cannot be determined

Question 20

For the scores in the following table,what is the value of ?X²? $$\begin{array} { c c } \ X & \mathrm { f } \\\hline 4 & 1 \\3 & 2 \\2 & 1 \\1 & 3\end{array}$$

A)30
B)41
C)65
D)225

Question 21

If the following distribution were shown in a histogram,the width of the bar above the 15-19 interval would reach from _____ to _____. $$\begin{array} { c c } \hline X & \mathrm { f } \\\hline 20 - 24 & 2 \\15 - 19 & 5 \\10 - 14 & 4 \\5 - 9 & 1\end{array}$$

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

Question 22

For the following distribution,what is the highest score? $$\begin{array} { l l } \frac { X } { } & \mathrm { f } \\\hline 20 - 24 & 2 \\15 - 19 & 5 \\10 - 14 & 4 \\5 - 9 & 1\end{array}$$

A)5
B)20
C)24
D)Cannot be determined

Question 23

If a distribution of scores is shown in a bar graph,you know that the scores were measured on a(n)_________ scale of measurement.

A)nominal or ordinal
B)ordinal or interval
C)interval or ratio
D)discrete or continuous

Question 24

For the following distribution,what is the width of each class interval? $$\begin{array} { l l } X & f \\\hline 20 - 24 & 2 \\15 - 19 & 5 \\10 - 14 & 4 \\5 - 9 & 1\end{array}$$

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

Question 25

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

A)2
B)5
C)7
D)11

Question 26

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 these

Question 27

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 28

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 29

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 were 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 30

After recording the final grade (A,B,C,D,F)for each individual in a class of N = 26 students,the professor would like to display the grade distribution 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 31

If a set of scores is displayed in a frequency distribution bar graph,what scale of measurement was used to measure the scores?

A)Nominal
B)Ordinal
C)Nominal or ordinal
D)Interval or ratio

Question 32

A biologist records the number of trout,bass,perch,and other types of fish caught in a local lake during a 2-week period.If the results are organized 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 33

If a set of scores is displayed in a frequency distribution polygon,what scale of measurement was used to measure the scores?

A)Nominal or ordinal
B)Interval
C)Ratio
D)Interval or ratio

Question 34

A researcher collects a sample of n = 20 Introductory Psychology textbooks and records the number of pages in each book.The results are then placed in a grouped frequency distribution table using intervals of 0-99 pages,100-199 pages,200-299 pages,and so on.If the results were converted into 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 35

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.

Question 36

A frequency distribution graph represents frequencies with vertical bars without space between them.What scale of measurement was used to measure the scores?

A)Nominal
B)Ordinal
C)Nominal or ordinal
D)Interval or ratio

Question 37

How many individual scores are in the following distribution?

A)N = 5
B)N = 6
C)N = 10
D)cannot be determined

Question 38

Which types of graphs are used for data from an interval scale?

A)Histograms and bar graphs
B)Polygons and bar graphs
C)Histograms and polygons
D)Histograms, bar graphs, and polygons

Question 39

For the following distribution,what is ΣX?

A)ΣX = 10
B)ΣX = 15
C)ΣX = 21
D)ΣX = 23

Question 40

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 these

Question 41

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 42

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

Question 43

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

Question 44

If a set of exam scores forms a negatively skewed distribution,what can you likely 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 an equal number of students had relatively high and relatively low scores.
D)It is not possible to draw any conclusions about students' scores.

Question 45

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 46

If a distribution with more than 15 or 20 possible scores is being organized in a frequency distribution table,a grouped table should be used.

Question 47

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 48

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

Question 49

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 50

What is the shape of the distribution for the following set of data? $$\begin{array} { l l } X & \mathrm { f } \\\hline 5 & 5 \\4 & 3 \\3 & 1 \\2 & 3 \\1 & 5\end{array}$$

A)Symmetrical
B)Positively skewed
C)Negatively skewed
D)Normal

Question 51

If a set of exam scores forms a symmetrical distribution,what can you likely 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 an equal number of students had relatively high and relatively low scores.
D)It is not possible to draw any conclusions about students' scores.

Question 52

What is the shape of the distribution for the following set of data? $$\begin{array} { l l } X & \mathrm { f } \\\hline 5 & 1 \\4 & 1 \\3 & 2 \\2 & 4 \\1 & 5\end{array}$$

A)Symmetrical
B)Positively skewed
C)Negatively skewed
D)Normal

Question 53

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

Question 54

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)Normal

Question 55

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

Question 56

For the following distribution of scores,?X² = 92.
$$\begin{array} { c c } X & \mathrm { f } \\\hline 4 & 1 \\3 & 2 \\2 & 3 \\1 & 2\end{array}$$

Question 57

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

Question 58

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 59

For the distribution shown in the following table,N = 5.
$$\begin{array} { c l } X & \mathrm { f } \\\hline 5 & 2 \\4 & 8 \\3 & 5 \\2 & 3 \\1 & 2\end{array}$$

Question 60

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 61

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

Question 62

A sports historian recorded the number of times that the New York Yankees finished 1ˢᵗ,2ⁿᵈ,3ʳᵈ,and so on,in their division for the past 20 years.If the results are presented in a frequency distribution graph,then a histogram must be used.

Question 63

The normal distribution is an example of a symmetrical distribution.

Question 64

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

Question 65

In a positively skewed distribution,the scores pile up on the left side of the distribution and taper off to the right.

Question 66

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 67

A space is left between adjacent bars in a bar graph.

Question 68

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 69

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.

Question 70

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

Question 71

If a frequency distribution is presented in a polygon,then the scores were measured on an interval or a ratio scale.

Question 72

For the following distribution,11 people have scores greater than X = 14.
$$\begin{array} { c c } X & \mathrm { f } \\\hline 20 - 24 & 2 \\15 - 19 & 5 \\10 - 14 & 4 \\5 - 9 & 1\end{array}$$

Question 73

A histogram is constructed so that adjacent bars touch.

Question 74

A set of scores ranges from X = 18 to X = 91.If the scores were put in a grouped frequency distribution table with an interval width of 10 points,the top interval would be 91-100.

Question 75

Find each value requested for the set of scores in the following frequency distribution table.

a.N
b.ΣX
c.ΣX²

Question 76

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 77

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 the results were presented in a frequency distribution graph,the professor should use a bar graph.

Question 78

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 79

A set of scores ranging from a high of 47 to a low of 6 is organized in a grouped frequency distribution table using an interval width of 5 points.If the distribution is shown in a graph,then a histogram or polygon should be used.

Question 80

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