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

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

Which of the following statements best describes a stem-and-leaf display? \[\begin{array} { | l | l | } \hline \text { A. } & \begin{array} { l } \text { A stem-and-leaf display is similar to a histogram turned on its side. but the display holds } \\ \text { the advantage of retaining the original observations. } \end{array} \\ \hline \text { B. } & \text { A stem-and-leaf display holds the advantage of retaining the original observations. } \\ \hline \text { C. } & \begin{array} { l } \text { A stem-and-leaf display is similar to a histogram turned on its side, but the display holds } \\ \text { the advantage of retaining the original observations and holds the advantage of retaining } \\ \text { the original observations. } \end{array} \\ \hline \text { D. } & \text { A stem-and-leaf display may be used for nominal variables. } \\ \hline \end{array}\]

The answer of Which of the following statements best describes...

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. \[\begin{array} { | c | c | } \hline \text { Years } & \text { Frequency } \\ \hline 0 \text { up to } 5 & 12 \\ \hline 5 \text { up to } 10 & 16 \\ \hline 10 \text { up to } 15 & 42 \\ \hline 15 u p \text { to } 20 & 20 \\ \hline 20 \text { up to } 25 & 10 \\ \hline \text { Total } & 100 \\ \hline \end{array}\]

\[\begin{array} { | c | c | } \hline \t

Exam 4: Graphical Descriptive Techniques Numerical Data

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

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Question 21

A cumulative frequency distribution presented in graphical form is called an ogive.

(True/False)

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Question 22

Class intervals of equal width make the interpretation of a frequency distribution easier.

(True/False)

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Question 23

Which of the following statements about histograms is true?

(Multiple Choice)

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Question 24

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

(True/False)

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Question 25

The relationship between expenditure on imports and household income may be described as a positive linear relationship.

(True/False)

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Question 26

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

(Multiple Choice)

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Question 27

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

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Question 28

When choosing between a line chart and a bar chart to display a time-series of data, if the main objective is to display the overall general movement, or trend, in the time-series, a line chart is best.

(True/False)

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Question 29

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. Motor Vehicle Colour Relative Frequency Bar Chart

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Question 30

Which of the following statements best describes a stem-and-leaf display? A. A stem-and-leaf display is similar to a histogram turned on its side. but the display holds the advantage of retaining the original observations. B. A stem-and-leaf display holds the advantage of retaining the original observations. C. A stem-and-leaf display is similar to a histogram turned on its side, but the display holds the advantage of retaining the original observations and holds the advantage of retaining the original observations. D. A stem-and-leaf display may be used for nominal variables.

(Short Answer)

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Question 31

Graphical excellence is displayed when a graph has a proper scale, the axis are marked correctly are the graph chosen appropriately tells the truth about the data.

(True/False)

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Question 32

If two numerical variables are linearly related, then it means that one variable is causing the other variable to react in a particular way.

(True/False)

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Question 33

A skewed histogram is one with a long tail extending either to the right or left. The former is called negatively skewed, and the latter is called positively skewed.

(True/False)

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Question 34

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

(True/False)

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Question 35

Describe briefly what the histogram and the stem-and-leaf displays tell you about 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

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Question 36

A histogram is said to be symmetric if, when we draw a vertical line down the center of the histogram, the two sides are mirror images of each other.

(True/False)

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Question 37

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. Years Frequency 0 up to 5 12 5 up to 10 16 10 up to 15 42 15up to 20 20 20 up to 25 10 Total 100

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Question 38

A frequency distribution is a listing of the individual observations arranged in ascending or descending order.

(True/False)

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Question 39

Time-series data may be graphically depicted on a line chart or a bar chart.

(True/False)

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Question 40

Exam 4: Graphical Descriptive Techniques Numerical Data

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

A cumulative frequency distribution presented in graphical form is called an ogive.

Class intervals of equal width make the interpretation of a frequency distribution easier.

Which of the following statements about histograms is true?

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

The relationship between expenditure on imports and household income may be described as a positive linear relationship.

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

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

When choosing between a line chart and a bar chart to display a time-series of data, if the main objective is to display the overall general movement, or trend, in the time-series, a line chart is best.

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. Motor Vehicle Colour Relative Frequency Bar Chart

Graphical excellence is displayed when a graph has a proper scale, the axis are marked correctly are the graph chosen appropriately tells the truth about the data.

If two numerical variables are linearly related, then it means that one variable is causing the other variable to react in a particular way.

A skewed histogram is one with a long tail extending either to the right or left. The former is called negatively skewed, and the latter is called positively skewed.

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

Describe briefly what the histogram and the stem-and-leaf displays tell you about 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

A histogram is said to be symmetric if, when we draw a vertical line down the center of the histogram, the two sides are mirror images of each other.

A frequency distribution is a listing of the individual observations arranged in ascending or descending order.

Time-series data may be graphically depicted on a line chart or a bar chart.

What Is Statistics

Types of Data, Data Collection and Sampling

Graphical Descriptive Methods Nominal Data

Numerical Descriptive Measures

Probability

Random Variables and Discrete Probability Distributions

Continuous Probability Distributions

Statistical Inference: Introduction

Sampling Distributions

Estimation: Describing a Single Population

Estimation: Comparing Two Populations

Hypothesis Testing: Describing a Single Population

Hypothesis Testing: Comparing Two Populations

Inference About Population Variances

Analysis of Variance

Additional Tests for Nominal Data: Chi-Squared Tests

Simple Linear Regression and Correlation

Multiple Regression

Model Building

Nonparametric Techniques

Statistical Inference: Conclusion

Time-Series Analysis and Forecasting

Index Numbers

Decision Analysis

Filters