Question 1

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

Accepted Answer

The top value in each class interval does not necessarily have to be a multiple of the interval width; it should just be consistent with the pattern of the intervals used throughout the table.

Question 2

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.

Accepted Answer

A histogram is used for continuous data, while a bar graph is more appropriate for categorical data like ordinal rankings.

Question 3

The normal distribution is an example of a symmetrical distribution.

Accepted Answer

The normal distribution is a bell-shaped symmetrical distribution, with the mean, median, and mode all being equal.

Question 4

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

Accepted Answer

A grouped frequency distribution table only provides information on the frequencies of scores within certain intervals, but not the individual scores themselves. Therefore, it is not possible to obtain a complete listing of the original set of scores from a grouped frequency distribution table alone.

Question 5

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

Accepted Answer

In a positively skewed distribution, most of the data points are concentrated on the left, leading to a long tail extending to the right.

Question 6

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.

Accepted Answer

A negatively skewed distribution means that the tail of the distribution is longer on the left side and the majority of scores are on the right side. Therefore, it suggests that the majority of students did score well on the exam.

Question 7

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

Accepted Answer

A space is usually left between adjacent bars in a bar graph to make it easier to read and distinguish between the different bars.

Question 8

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.

Accepted Answer

The answer of A set of scores ranges from a...

Question 9

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.

Accepted Answer

The answer of A professor records the number of students...

Question 10

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

Accepted Answer

A very easy exam would likely result in most students scoring high marks, clustering at the higher end of the score range and leaving fewer low scores, which would create a negatively skewed distribution, not a positively skewed one.

Question 11

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

Accepted Answer

A frequency distribution presented in a polygon implies that the data is continuous and measured on an interval or ratio scale. This is because a polygon graph is used to represent continuous data, where the x-axis represents the range of values and the y-axis represents the frequency of occurrence. Interval and ratio scales are used to measure continuous data, where the intervals between each value are equal and meaningful.

Question 12

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

Accepted Answer

The number of people with scores greater than X = 14 is 7 (2 from 20-24 and 5 from 15-19).

Question 13

A histogram is constructed so that adjacent bars touch.

Accepted Answer

In a histogram, the bars typically represent ranges of data and are usually drawn adjacent to one another so that they touch. This helps to emphasize the continuity of the data and avoids any gaps or overlaps between bars.

Question 14

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.

Accepted Answer

The top interval would be 81-91 since the interval width is 10 points and the last score in the set is 91.

Question 15

Find each value requested for the set of scores in the following frequency distribution table.
 $$\begin{array} { c c } 
X & f \
\hline 5 & 2 \
4 & 2 \
3 & 3 \
2 & 5 \
1 & 2
\end{array}$$ 
a.N
b.ΣX
c.ΣX²

Accepted Answer

The answer of Find each value requested for the set...

Question 16

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.

Accepted Answer

In February in New York, the daily high temperatures are typically low, meaning most days would have similar, low high temperatures with only a few days being relatively warm. This would likely result in a positively skewed distribution, where the bulk of the data (the cold days) are clustered on the left, and the tail (the few warm days) stretches out to the right.

Question 17

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.

Accepted Answer

A bar graph is the most appropriate type of graph to represent frequency distributions for categorical data, such as the number of classes held in each room. Each room can be represented by a separate bar, and the height of the bar can represent the frequency (number of classes held). Therefore, a bar graph would be appropriate for the data in this scenario.

Question 18

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.

Accepted Answer

A polygon is used for continuous data, showing the distribution across different intervals, while a bar graph is more appropriate for categorical or discrete data, indicating the frequency of distinct categories.

Question 19

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.

Accepted Answer

Since the data is in grouped frequency distribution with an interval width of 5 points, a histogram or polygon is the appropriate kind of graph to show the distribution.

Question 20

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

Accepted Answer

Each class interval is 5 points wide, as given in the problem statement.

Quiz 2: Frequency Distributions.

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

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.

The normal distribution is an example of a symmetrical distribution.

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

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

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.

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

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.

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.

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

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

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

A histogram is constructed so that adjacent bars touch.

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.

Find each value requested for the set of scores in the following frequency distribution table. $\begin{array} { c c } X & f \\\hline 5 & 2 \\4 & 2 \\3 & 3 \\2 & 5 \\1 & 2\end{array}$ a.N b.ΣX c.ΣX²

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.

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.

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.

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.

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

Quiz 2: Frequency Distributions.

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

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.

The normal distribution is an example of a symmetrical distribution.

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

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

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.

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

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.

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.

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

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

For the following distribution,11 people have scores greater than X = 14. Xf20−24215−19510−1445−91\begin{array} { c c } X & \mathrm { f } \\\hline 20 - 24 & 2 \\15 - 19 & 5 \\10 - 14 & 4 \\5 - 9 & 1\end{array}X20−2415−1910−145−9​f2541​​

A histogram is constructed so that adjacent bars touch.

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.

Find each value requested for the set of scores in the following frequency distribution table. Xf5242332512\begin{array} { c c } X & f \\\hline 5 & 2 \\4 & 2 \\3 & 3 \\2 & 5 \\1 & 2\end{array}X54321​f22352​​ a.N b.ΣX c.ΣX²

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.

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.

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.

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.

In the following distribution,the scores are grouped into class intervals that are each 5 points wide. Xf20−24215−19510−1445−91\begin{array} { c c } X & f \\\hline 20 - 24 & 2 \\15 - 19 & 5 \\10 - 14 & 4 \\5 - 9 & 1\end{array}X20−2415−1910−145−9​f2541​​

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

Find each value requested for the set of scores in the following frequency distribution table. $\begin{array} { c c } X & f \\\hline 5 & 2 \\4 & 2 \\3 & 3 \\2 & 5 \\1 & 2\end{array}$ a.N b.ΣX c.ΣX²

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