Question 1

Which of the following is a frequency polygon? 
A)

B)

C)

D)

Accepted Answer

The answer of Which of the following is a frequency...

Question 2

Exaggerating a one-dimensional increase by showing it in two dimensions is an example of a(n)
A) pictograph.
B) pie graph.
C) ogive.
D) misleading graph.

Accepted Answer

Exaggerating a one-dimensional increase by showing it in two dimensions is a technique used in misleading graphs to make the increase appear larger than it actually is. A pictograph and pie graph do not involve the use of dimensions to exaggerate data, and an ogive is a line graph used to show cumulative data, not one-dimensional increases.

Question 3

Which graph should be used to represent the frequencies that certain types of classes are taken at Sir Robert Borden High School?
A) Pareto chart
B) time series graph
C) pie graph
D) pictograph

Accepted Answer

A Pareto chart is the most suitable graph when we need to represent the frequencies of different types of classes taken at a school. It displays the relative frequency or size of categories ordered from largest to smallest, making it easy to identify the most commonly taken classes. This is important in making decisions on which classes to offer in the future. A time series graph is used to display data over time, a pie graph shows the proportions of a whole, and a pictograph uses pictures or symbols to represent data.

Question 4

The graphs that have their distributions as proportions instead of raw data as frequencies are called
A) relative frequency graphs.
B) ogive graphs.
C) histograms.
D) frequency polygons.

Accepted Answer

Relative frequency graphs show the distributions as proportions, rather than raw data as frequencies. Histograms, ogive graphs, and frequency polygons all display data as frequencies.

Question 5

$$\text { Find the class with the greatest number of data values. }$$

A) 70
B) 90
C) 60
D) 40

Accepted Answer

The answer of \[\text { Find the class with the...

Question 6

$$\text { The total frequency of the data whose histogram is shown }$$

A) 11
B) 22
C) 50
D) 100

Accepted Answer

The answer of \[\text { The total frequency of the...

Question 7

In a pie graph, if pepperoni pizza were $\text { 24/72 }$ of the distribution, how many degrees would be needed to represent pepperoni?
A) 90°
B) 120°
C) 60°
D) 150°

Accepted Answer

To find the number of degrees needed to represent pepperoni, we need to use the formula: 
degree measure of a slice = (fraction of the whole represented by the slice) x 360°

In this case, the fraction of the whole represented by pepperoni is 24/72. We can simplify this fraction by dividing both the numerator and the denominator by the greatest common factor of 24 and 72, which is 24.

24/72 = (24 ÷ 24) / (72 ÷ 24) = 1/3

So, the fraction of the whole represented by pepperoni is 1/3, and the degree measure of a slice of pepperoni pizza would be:

degree measure of pepperoni slice = (1/3) x 360° = 120°

Therefore, the best choice is B) 120°.

Question 8

Which type of graph represents the data by using vertical bars of various heights to indicate frequencies?
A) ogive
B) frequency polygon
C) histogram
D) cumulative frequency

Accepted Answer

A histogram represents the data by using vertical bars of various heights to indicate frequencies.

Question 9

A time series graph is useful for which of the following purposes?
A) Representing relative frequencies of categories in a specific year
B) Representing the cumulative frequencies of the data in a specific year
C) Representing the frequencies of the data, sorted from largest to smallest
D) Representing the frequencies of a data category over a period of several years

Accepted Answer

A time series graph is ideal for representing the frequency of a data category over a period of several years. This type of graph allows for easy identification of trends, patterns, and anomalies over time.

Question 10

Which of the following is a histogram? 
A)

B)

C)

D)

Accepted Answer

The answer of Which of the following is a histogram?...

Question 11

$$\text { The total frequency of the data whose ogive shown }$$

A) 12
B) 18
C) 34
D) 90

Accepted Answer

The ogive intersects the y-axis at 34, which is the total frequency of the data.

Question 12

A Pareto chart does not have which of the following properties?
A) It is a bar chart
B) The frequencies are arranged from highest to lowest
C) The frequencies are arranged from lowest to highest
D) It is used to represent categorical data

Accepted Answer

The frequencies in a Pareto chart are arranged from highest to lowest in order to show the most important contributing factors.

Question 13

Which of the following could be a cumulative frequency graph?
A)

B)

C)

D)

Accepted Answer

The answer of Which of the following could be a...

Question 14

Which of the following could be an ogive? 
A)

B)

C)

D)

Accepted Answer

It is impossible to determine whether any of the options could be an ogive without additional information about the data being graphed. An ogive is a graph used to display cumulative distribution, so the values being graphed must be cumulative frequencies or percentages. Since none of the options provide any information about the data being graphed, it is impossible to determine which one(s) could be an ogive.

Question 15

An automobile dealer wants to construct a pie graph to represent types of cars sold in July. He sold 72 cars; 16 of which were convertibles. The convertibles will represent how many degrees in the circle?
A) 60°
B) 80°
C) 100°
D) 50°

Accepted Answer

To find the degrees for convertibles, use the formula: (Number of convertibles / Total cars sold) * 360. So, (16/72) * 360 = 80°.

Question 16

$$\text { What type of graph is the figure below? }$$

A) Pareto chart
B) pictograph
C) ogive
D) pie graph

Accepted Answer

A Pareto chart is a type of bar graph that displays the relative frequencies or sizes of categories in decreasing order of importance or frequency. The bars are arranged in descending order of height and a cumulative percent line is often superimposed on the bars to indicate the total cumulative percentage of the data. The figure provided shows a Pareto chart with bars representing the number of defects of different types and the cumulative percent line indicating the proportion of total defects accounted for by the top three types.

Question 17

Pareto charts have units that are used for the frequency that are
A) decreasing in size.
B) increasing in size.
C) equal in size.
D) proportional in size.

Accepted Answer

Pareto charts use bars that are equal in size to represent the frequency of occurrences, with the bars arranged in descending order of frequency.

Question 18

A pie graph is not useful to show which of the following characteristics of data?
A) The trend of the data over time
B) The relative frequencies of each category of the distribution
C) Which categories make up the larger proportions of the total
D) Which categories make up the smaller proportions of the total

Accepted Answer

A pie graph is not useful for showing trends over time. It is best used for displaying the relative proportions of different categories in a distribution.

Question 19

Given the following frequency distribution, how many pieces of data were less than 28.5? $$\begin{array} { | l | l | } 
\hline \text { Class Boundaries } & \text { Frequencies } \
\hline 13.5 - 18.5 & 4 \
\hline 18.5 - 23.5 & 9 \
\hline 23.5 - 28.5 & 12 \
\hline 28.5 - 33.5 & 15 \
\hline 33.5 - 38.5 & 17 \
\hline
\end{array}$$
A) 12
B) 9
C) 25
D) 17

Accepted Answer

The data less than 28.5 includes the frequencies from the first three classes: 4 + 9 + 12 = 25.

Question 20

A weatherman records the amount of rain that has fallen in Vancouver,B.C. during each day. What type of graph should he use?
A) pie graph
B) pictograph
C) time series graph
D) ogive

Accepted Answer

A time series graph is the best choice as it shows the relationship between the variable being measured (amount of rain) and time. It allows the weatherman to see how the rainfall amounts vary over time and identify any trends or patterns. Pie graphs and pictographs are not suitable for showing time-based data, and ogives are more commonly used to show cumulative frequency distributions.

Quiz 2: Frequency Distributions and Graphs

Which of the following is a frequency polygon?

Exaggerating a one-dimensional increase by showing it in two dimensions is an example of a(n)

Which graph should be used to represent the frequencies that certain types of classes are taken at Sir Robert Borden High School?

The graphs that have their distributions as proportions instead of raw data as frequencies are called

$\text { Find the class with the greatest number of data values. }$ $\text { Find the class with the greatest number of data values. } A) 70 B) 90 C) 60 D) 40$

$\text { The total frequency of the data whose histogram is shown }$ $\text { The total frequency of the data whose histogram is shown } A) 11 B) 22 C) 50 D) 100$

In a pie graph, if pepperoni pizza were $\text { 24/72 }$ of the distribution, how many degrees would be needed to represent pepperoni?

Which type of graph represents the data by using vertical bars of various heights to indicate frequencies?

A time series graph is useful for which of the following purposes?

Which of the following is a histogram?

$\text { The total frequency of the data whose ogive shown }$ $\text { The total frequency of the data whose ogive shown } A) 12 B) 18 C) 34 D) 90$

A Pareto chart does not have which of the following properties?

Which of the following could be a cumulative frequency graph?

Which of the following could be an ogive?

An automobile dealer wants to construct a pie graph to represent types of cars sold in July. He sold 72 cars; 16 of which were convertibles. The convertibles will represent how many degrees in the circle?

$\text { What type of graph is the figure below? }$ $\text { What type of graph is the figure below? } A) Pareto chart B) pictograph C) ogive D) pie graph$

Pareto charts have units that are used for the frequency that are

A pie graph is not useful to show which of the following characteristics of data?

A weatherman records the amount of rain that has fallen in Vancouver,B.C. during each day. What type of graph should he use?