Question 1

For a bar chart to show graphical excellence, the bars must be the same width irrespective of each bar's height.

Accepted Answer

A) True 
 B)False  True

Question 2

The modal class (classes) of a frequency distribution is the class (are the classes) with the highest frequency.

Accepted Answer

A) True 
 B)False  True

Question 3

The following data are test grades for a university business statistics class. $$\begin{array} { | r | r | r | r | r | r | r | r | r | r | } 
\hline 63 & 74 & 42 & 65 & 51 & 54 & 36 & 56 & 68 & 57 \
\hline 62 & 64 & 76 & 67 & 79 & 61 & 81 & 77 & 59 & 38 \
\hline 84 & 68 & 71 & 94 & 71 & 86 & 69 & 75 & 91 & 55 \
\hline 48 & 82 & 83 & 54 & 79 & 62 & 68 & 58 & 41 & 47 \
\hline
\end{array}$$ a. Construct a cumulative frequency distribution and a cumulative relative frequency distribution for the data.
b. What proportion of the grades is less than 60?
c. What proportion of the grades is more than 70?

Accepted Answer

a. $$\begin{array} { | c | c | c | } 
\hline \text { Classes } & \text { Cumulative frequency } & \begin{array} { c } 
\text { Cumulative rel ative } \
\text { frequency }
\end{array} \
\hline \text { Up to } 40 & 2 & 0.050 \
\hline U p \text { to } 50 & 6 & 0.150 \
\hline U p \text { to } 60 & 14 & 0.350 \
\hline \text { Up to } 70 & 25 & 0.625 \
\hline \text { Up to } 80 & 33 & 0.825 \
\hline U p \text { to } 90 & 38 & 0.950 \
\hline \text { Up to } 100 & 40 & 1.000 \
\hline
\end{array}$$ b. 0.350.
c. 1 - 0.625 = 0.375.

Question 4

The strength of a linear relationship between two numerical variables may be illustrated by a line graph, where the closer the points form a line, the stronger the linear relationship between the two variables.

Accepted Answer

A) True 
 B)False

Question 5

In any relative frequency distribution, the sum of all the relative frequencies is always equal to 1.

Accepted Answer

A) True 
 B)False

Question 6

A list of share prices of one Australian company, at the end of a trading day for the period of 30 trading days, would be an example of time-series data.

Accepted Answer

A) True 
 B)False

Question 7

Individual observations within each class may be found in a frequency distribution.

Accepted Answer

A) True 
 B)False

Question 8

Construct a relative frequency histogram for the test grades for a university business statistics class. $$\begin{array} { | r | r | r | r | r | r | r | r | r | r | } 
\hline 63 & 74 & 42 & 65 & 51 & 54 & 36 & 56 & 68 & 57 \
\hline 62 & 64 & 76 & 67 & 79 & 61 & 81 & 77 & 59 & 38 \
\hline 84 & 68 & 71 & 94 & 71 & 86 & 69 & 75 & 91 & 55 \
\hline 48 & 82 & 83 & 54 & 79 & 62 & 68 & 58 & 41 & 47 \
\hline
\end{array}$$

Accepted Answer

The answer of Construct a relative frequency histogram for the...

Question 9

Which of the following statements is true?

Accepted Answer

A) A histogram is created by drawing rectangles whose bases correspond to the class intervals, and the area of each rectangle equals the total number of observations in the sample. 
B) A histogram can be used for only categorical variables. 
C) A histogram is created by drawing rectangles whose bases correspond to the number of observations in each class. 
D) A histogram is created by drawing rectangles whose bases correspond to the class intervals, and the area of each rectangle equals the number of observations in that class. 
A) A histogram is created by drawing rectangles whose bases correspond to the class intervals, and the area of each rectangle equals the total number of observations in the sample. 
B) A histogram can be used for only categorical variables. 
C) A histogram is created by drawing rectangles whose bases correspond to the number of observations in each class. 
D) A histogram is created by drawing rectangles whose bases correspond to the class intervals, and the area of each rectangle equals the number of observations in that class.

Question 10

The table below shows the number of licensed hotels with at least 15 rooms in New South Wales from March 2005 to June 2015. \(\begin{array}{|l|r|l|r|}
\hline \begin{array}{l}
\text { Quarter- } \
\text { Year }
\end{array} & \text { Number } & \begin{array}{l}
\text { Quarter- } \
\text { vear }
\end{array} & \text { Number } \
\hline \text { Mar-2005 } & 199 & \text { Jun-2010 } & 209 \
\hline \text { Jun-2005 } & 199 & \text { Sep-2010 } & 207 \
\hline \text { Sep-2005 } & 198 & \text { Dec-2010 } & 206 \
\hline \text { Dec-2005 } & 199 & \text { Mar-2011 } & 207 \
\hline \text { Mar-2006 } & 202 & \text { Juп-2011 } & 205 \
\hline \text { Jun-2006 } & 205 & \text { Sep-2011 } & 206 \
\hline \text { Sep-2006 } & 203 & \text { Dec-2011 } & 205 \
\hline \text { Dec-2006 } & 201 & \text { Mar-2012 } & 209 \
\hline \text { Mar-2007 } & 202 & \text { Jun-2012 } & 205 \
\hline \text { Jun-2007 } & 200 & \text { Sep-2012 } & 207 \
\hline \text { Sep-2007 } & 202 & \text { Dec-2012 } & 207 \
\hline \text { Dec-2007 } & 202 & \text { Mar-2013 } & 209 \
\hline \text { Mar-2008 } & 201 & \text { Jun-2013 } & 209 \
\hline \text { Jun-2008 } & 203 & \text { Sep-2013 } & 208 \
\hline \text { Sep-2008 } & 204 & \text { Dec-2013 } & 208 \
\hline \text { Dec-2008 } & 203 & \text { Mar-2014 } & 208 \
\hline \text { Mar-2009 } & 203 & \text { Jun-2014 } & 208 \
\hline \text { Jun-2009 } & 206 & \text { Sep-2014 } & 241 \
\hline \text { Sep-2009 } & 203 & \text { Dec-2014 } & 244 \
\hline \text { Dec-2009 } & 210 & \text { Mar-2015 } & 244 \
\hline \text { Mar-2010 } & 208 & \text { Jun-2015 } & 243 \
\hline
\end{array}\) a. Plot the time series.
b. When did the number of licensed hotels with at least 15 rooms in New South Wales grow fastest?

Accepted Answer

a. @#IMG-DLM& b. It appears th

Question 11

The weights in kilograms of a sample of 30 horses are given below: Weight
$$\begin{array} { l } 
165 \
175 \
150 \
155 \
173 \
149 \
145 \
153 \
153 \
153 \
152 \
145 \
164 \
143 \
170 \
175 \
148 \
174 \
171 \
156 \
166 \
168 \
152 \
150 \
173 \
168 \
146 \
155 \
172 \
159
\end{array}$$ a. Construct a cumulative relative frequency distribution for the data.
b. Construct an ogive for the data.
c. What proportion of horses weighs less than 160kgs?
d. What proportion of horses weighs between 145 and 165kgs?

Accepted Answer

a. @#IMG-DLM& b. @#IMG-DLM& c.

Question 12

A scatter diagram which has points widely dispersed, where no clear line is visible, indicates no linear relationship between the variables.

Accepted Answer

A) True 
 B)False

Question 13

Construct a cumulative relative frequency distribution for the number of years of service for 100 employees, given the frequency distribution of the number of years of service for 100 employees is shown below. $$\begin{array} { | l | c | } 
\hline \text { Years } & \text { Frequency } \
\hline 0 \text { up to } 5 & 12 \
\hline 5 \text { up to } 10 & 16 \
\hline 10 \text { up to } 15 & 42 \
\hline 15 \text { up to } 20 & 20 \
\hline 20 \text { up to } 25 & 10 \
\hline \text { Total } & 100 \
\hline
\end{array}$$

Accepted Answer

The answer of Construct a cumulative relative frequency distribution for...

Question 14

Which of the following best describes the modal class?

Accepted Answer

A) The class with the largest number of observations. 
B) The class with the smallest number of observations. 
C) The class with the largest observation in the data set. 
D) The class with the smallest observation in the data set. 
A) The class with the largest number of observations. 
B) The class with the smallest number of observations. 
C) The class with the largest observation in the data set. 
D) The class with the smallest observation in the data set.

Question 15

The stem-and-leaf display reveals far more information about individual values than does the histogram.

Accepted Answer

A) True 
 B)False

Question 16

A relative frequency distribution describes the number of data values that fall within each class, and may be presented in histogram form.

Accepted Answer

A) True 
 B)False

Question 17

A stem-and-leaf display describes two-digit integers between 20 and 70. For one of the classes displayed, the row appears as 4 | 2 5 6. The numerical values being described are 42, 45 and 46.

Accepted Answer

A) True 
 B)False

Question 18

The bar chart below is of the colour of motor vehicles in a random sample. A student commented that the distribution was negatively skewed. Explain what is wrong with this statement.
Relative Frequency: Motor Vehicle Colour

Accepted Answer

This is a bar chart, and the c

Question 19

A frequency distribution shows the number of data values falling within each class.

Accepted Answer

A) True 
 B)False

Question 20

Which of the following is the best type of chart for illustrating the GDP of Australia from 1960 to 2010?

Accepted Answer

A) A time-series chart. 
B) A scatter plot. 
C) A histogram. 
D) A bar chart. 
A) A time-series chart. 
B) A scatter plot. 
C) A histogram. 
D) A bar chart.

For a bar chart to show graphical excellence, the bars must be the same width irrespective of each bar's height.

The modal class (classes) of a frequency distribution is the class (are the classes) with the highest frequency.

The strength of a linear relationship between two numerical variables may be illustrated by a line graph, where the closer the points form a line, the stronger the linear relationship between the two variables.

In any relative frequency distribution, the sum of all the relative frequencies is always equal to 1.

A list of share prices of one Australian company, at the end of a trading day for the period of 30 trading days, would be an example of time-series data.

Individual observations within each class may be found in a frequency distribution.

Construct a relative frequency histogram for the test grades for a university business statistics class. 63 74 42 65 51 54 36 56 68 57 62 64 76 67 79 61 81 77 59 38 84 68 71 94 71 86 69 75 91 55 48 82 83 54 79 62 68 58 41 47

Which of the following statements is true?

A scatter diagram which has points widely dispersed, where no clear line is visible, indicates no linear relationship between the variables.

Which of the following best describes the modal class?

The stem-and-leaf display reveals far more information about individual values than does the histogram.

A relative frequency distribution describes the number of data values that fall within each class, and may be presented in histogram form.

A stem-and-leaf display describes two-digit integers between 20 and 70. For one of the classes displayed, the row appears as 4 | 2 5 6. The numerical values being described are 42, 45 and 46.

The bar chart below is of the colour of motor vehicles in a random sample. A student commented that the distribution was negatively skewed. Explain what is wrong with this statement. Relative Frequency: Motor Vehicle Colour

A frequency distribution shows the number of data values falling within each class.

Which of the following is the best type of chart for illustrating the GDP of Australia from 1960 to 2010?

What Is Statistics

Types of Data, Data Collection and Sampling

Graphical Descriptive Techniques Nominal Data

Numerical Descriptive Measures

Probability

Random Variables and Discrete Probability Distributions

Continuous Probability Distributions

Statistical Inference and Sampling Distributions

Estimation: Describing a Single Population

Estimation: Comparing Two Populations

Hypothesis Testing: Describing a Single Population

Hypothesis Testing: Comparing Two Populations

Additional Tests for Nominal Data: Chi-Squared Tests

Simple Linear Regression and Correlation

Multiple Regression

Time-Series Analysis and Forecasting

Index Numbers

Filters

Exam 4: Graphical Descriptive Techniques Numerical Data

For a bar chart to show graphical excellence, the bars must be the same width irrespective of each bar's height.

The modal class (classes) of a frequency distribution is the class (are the classes) with the highest frequency.

The strength of a linear relationship between two numerical variables may be illustrated by a line graph, where the closer the points form a line, the stronger the linear relationship between the two variables.

In any relative frequency distribution, the sum of all the relative frequencies is always equal to 1.

A list of share prices of one Australian company, at the end of a trading day for the period of 30 trading days, would be an example of time-series data.

Individual observations within each class may be found in a frequency distribution.

Construct a relative frequency histogram for the test grades for a university business statistics class. 63 74 42 65 51 54 36 56 68 57 62 64 76 67 79 61 81 77 59 38 84 68 71 94 71 86 69 75 91 55 48 82 83 54 79 62 68 58 41 47

Which of the following statements is true?

A scatter diagram which has points widely dispersed, where no clear line is visible, indicates no linear relationship between the variables.

Which of the following best describes the modal class?

The stem-and-leaf display reveals far more information about individual values than does the histogram.

A relative frequency distribution describes the number of data values that fall within each class, and may be presented in histogram form.

A stem-and-leaf display describes two-digit integers between 20 and 70. For one of the classes displayed, the row appears as 4 | 2 5 6. The numerical values being described are 42, 45 and 46.

The bar chart below is of the colour of motor vehicles in a random sample. A student commented that the distribution was negatively skewed. Explain what is wrong with this statement. Relative Frequency: Motor Vehicle Colour

A frequency distribution shows the number of data values falling within each class.

Which of the following is the best type of chart for illustrating the GDP of Australia from 1960 to 2010?

What Is Statistics

Types of Data, Data Collection and Sampling

Graphical Descriptive Techniques Nominal Data

Numerical Descriptive Measures

Probability

Random Variables and Discrete Probability Distributions

Continuous Probability Distributions

Statistical Inference and Sampling Distributions

Estimation: Describing a Single Population

Estimation: Comparing Two Populations

Hypothesis Testing: Describing a Single Population

Hypothesis Testing: Comparing Two Populations

Additional Tests for Nominal Data: Chi-Squared Tests

Simple Linear Regression and Correlation

Multiple Regression

Time-Series Analysis and Forecasting

Index Numbers

Filters