Question 1

In graphing bivariate categorical data, the side-by-side bar chart is best suited when primary interest is in demonstrating differences in magnitude rather than differences in percentages.

Accepted Answer

Side-by-side bar charts are useful for comparing the magnitudes of categories between two variables. They show absolute counts or frequencies, rather than percentages, making them best suited for situations where differences in magnitude are of primary interest.

Question 2

A polygon can be constructed from a bar chart.

Accepted Answer

A polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain or polygonal circuit. A bar chart, however, represents data with rectangular bars and does not form a closed polygonal shape, making it impossible to construct a polygon directly from a bar chart.

Question 3

Apple Computer, Inc. collected information on the age of their customers. The youngest customer was 12 and the oldest was 72. To study the distribution of the age among its customers, it is best to use a pie chart.

Accepted Answer

A pie chart is best used for showing parts of a whole or percentages, such as proportions of a population or percentages of a budget. For age distribution, a histogram or bar graph would be more appropriate.

Question 4

TABLE 2- 10
The histogram below represents scores achieved by 200 job applicants on a personality profile.
 
-Referring to the histogram from Table 2-10, half of the job applicants scored below______

Accepted Answer

The answer of TABLE 2- 10
The histogram below represents scores...

Question 5

TABLE 2-12
The table below contains the opinions of a sample of 200 people broken down by gender about the latest congressional plan to eliminate anti-trust exemptions for professional baseball.
 $$\begin{array}{l}
\begin{array} { c c c l l } 
\hline&\text { For}&\text { Neutral }&\text {Against }&\text {Totals }\
\hline\text { Female } & 38 & 54 & 12 & 104 \
\text { Male } & 12 & 36 & 48 & 96 \
\text { Totals } & 50 & 90 & 60 & 200 \
\hline
\end{array}
\end{array}$$
-Referring to Table 2-12, of the females in the sample,________ percent were against the
plan.

Accepted Answer

The answer of TABLE 2-12
The table below contains the opinions...

Question 6

One of the advantages of a pie chart is that it clearly shows that the total of all the categories of the pie adds to 100%.

Accepted Answer

Pie charts display the proportions of each category in relation to the whole, and the whole equals 100%. Therefore, the total of all the categories adds up to 100%.

Question 7

The percentage distribution cannot be constructed from the frequency distribution directly.

Accepted Answer

The percentage distribution can be calculated by dividing the frequency of each category by the total frequency and multiplying by 100.

Question 8

In general, grouped frequency distributions should have between 5 and 15 class intervals.

Accepted Answer

This is because having too few intervals (less than 5) can result in important information being lost, while having too many intervals (more than 15) can lead to overcomplication and misinterpretation of the data.

Question 9

Apple Computer, Inc. collected information on the age of their customers. The youngest customer was 12 and the oldest was 72. To study the distribution of the age among its customers, it can use a percentage polygon.

Accepted Answer

A percentage polygon is one way to display the distribution of a set of data, and it can be used to visualize the distribution of ages among Apple's customers.

Question 10

To determine the width of class interval, divide the number of class groups by the range of the data.

Accepted Answer

To determine the width of class interval, divide the range of the data by the number of class groups.

Question 11

When constructing a frequency distribution, classes should be selected in such a way that they are of equal width.

Accepted Answer

Classes in a frequency distribution should be selected in such a way that they are of equal width for ease of interpretation and analysis.

Question 12

TABLE 2-17
The following table presents total retail sales in millions of dollars for the leading apparel companies during April 2001 and April 2002.
 $$\begin{array} { l c c } 
\hline \text { Apparel Company } & \text { April } 01 & \text { April } 02 \
\hline \text { Gap } & 1,159.00 & 962 \
\text { TJX } & 781.7 & 899 \
\text { Limited } & 596.5 & 620.4 \
\text { Kohl's } & 544.9 & 678.9 \
\text { Nordstrom } & 402.6 & 418.3 \
\text { Talbots } & 139.9 & 130.1 \
\text { AnnTaylor } & 114.2 & 124.8 \
\hline
\end{array}$$
-Referring to Table 2-17, in general, retail sales for the apparel industry have seen a modest growth between April 2001 and April 2002.

Accepted Answer

The total sales for most companies increased from April 2001 to April 2002, indicating modest growth in the apparel industry.

Question 13

The sum of relative frequencies in a distribution always equals 1.

Accepted Answer

This is a fundamental property of relative frequencies, as they represent proportions of the whole data set. Therefore, the sum of all relative frequencies must be equal to 1.

Question 14

Ogives are plotted at the midpoints of the class groupings.

Accepted Answer

Ogives are cumulative frequency graphs and are plotted at the upper boundaries of the class intervals, not at the midpoints.

Question 15

Apple Computer, Inc. collected information on the age of their customers. The youngest customer was 12 and the oldest was 72. To study the percentage of their customers who are below a certain age, it can use an ogive.

Accepted Answer

An ogive is a graph that is used to display cumulative frequency. In this case, Apple can use an ogive to display the cumulative percentage of customers who are below a certain age.

Question 16

The sum of cumulative frequencies in a distribution always equals 1.

Accepted Answer

The sum of cumulative frequencies in a distribution equals the total number of observations, not 1.

Question 17

The original data values cannot be assessed once they are grouped into a frequency distribution table.

Accepted Answer

Once data values are grouped into a frequency distribution table, they are represented by class intervals and the exact values cannot be determined.

Question 18

Apple Computer, Inc. collected information on the age of their customers. The youngest customer was 12 and the oldest was 72. To study the distribution of the age among its customers, it can use a Pareto diagram.

Accepted Answer

Pareto diagram is used to represent the distribution of frequency of certain categories, not for continuous numerical data like age. A histogram or a box plot can be used for representing the distribution of age among customers.

Question 19

If you wish to construct a graph of a relative frequency distribution, you would most likely construct an ogive first.

Accepted Answer

If you wish to construct a graph of a relative frequency distribution, you would most likely construct a histogram or a frequency polygon. Ogive is a graph used to plot cumulative distribution.

Question 20

A good choice for the number of class groups to use in constructing frequency distribution is to have at least 5 but no more than 15 class groups.

Accepted Answer

Having 5 to 15 class groups allows for a good balance between having enough detail in the frequency distribution and avoiding overly complex or sparse groupings.

Quiz 2: Presenting Data in Tables and Charts