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

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

Which of the following is the best type of chart for illustrating the GDP of Australia from 1960 to 2010? $\begin{array}{|l|l|} \hline A&\text {A time-series chatt. }\\ \hline B&\text { A scatter plot.}\\ \hline C&\text {A histogram }\\ \hline D&\text {A bar chart. }\\ \hline \end{array}$

The answer of Which of the following is the best...

Which of the following statements is false? $\begin{array}{|l|l|} \hline A&\text {A frequency distribution counts the number of observations that fall into each of a series }\\ &\text {of intervals, called classes that cover the complete range of observations.}\\ \hline B&\text {The intervals in a frequency distributi on must not overlap to ensure that each observation }\\ &\text {is assigned to an interval. }\\ \hline C&\text {Although the frequency distribution provides information about how the numbers in the data }\\ &\text { set are distributed, the information is more easily }\\ &\text {understood and imparted by drawing a histogram. }\\ \hline D&\text { The number of class intervals in a frequency distribution must be}\\ &\text { the same as the number of observations.}\\ \hline \end{array}$

The answer of Which of the following statements is false?...

Exam 4: Graphical Descriptive Techniques Numerical Data

The weights in kilograms of a sample of 30 horses are given below: Weight 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 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?

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Question 1

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a. $\begin{array} { | l | l | l | l | } \hline \text { Class } & \text { Frequency } & \text { Cumulative } & \text { Cumulative \% } \\\hline \text { to } 140 & 0 & 0 & 0.00 \% \\\hline 140 \text { to } 145 & 3 & 3 & 10.00 \% \\\hline 145 \text { to } 150 & 5 & 8 & 26.67 \% \\\hline 150 \text { to } 155 & 7 & 15 & 50.00 \% \\\hline 155 \text { to } 160 & 2 & 17 & 56.67 \% \\\hline 160 \text { to } 165 & 2 & 19 & 63.33 \% \\\hline 165 \text { to } 170 & 4 & 23 & 76.67 \% \\\hline 170 \text { to } 175 & 7 & 30 & 100.00 \% \\\hline\end{array}$ b. $a. \begin{array} { | l | l | l | l | } \hline \text { Class } & \text { Frequency } & \text { Cumulative } & \text { Cumulative \% } \\ \hline \text { to } 140 & 0 & 0 & 0.00 \% \\ \hline 140 \text { to } 145 & 3 & 3 & 10.00 \% \\ \hline 145 \text { to } 150 & 5 & 8 & 26.67 \% \\ \hline 150 \text { to } 155 & 7 & 15 & 50.00 \% \\ \hline 155 \text { to } 160 & 2 & 17 & 56.67 \% \\ \hline 160 \text { to } 165 & 2 & 19 & 63.33 \% \\ \hline 165 \text { to } 170 & 4 & 23 & 76.67 \% \\ \hline 170 \text { to } 175 & 7 & 30 & 100.00 \% \\ \hline \end{array} b. c. 56.67%. d. 63.3% - 10.0%=53.3%$ c. 56.67%.
d. 63.3% - 10.0%=53.3%

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

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Question 2

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Which of the following statements about histograms is true? A A histogram shows the cumulative relative frequency distribution. B A histogram may be used as a graphical display of ordinal data. C A histogram may be used as a graphical display of categorical data. D A histogram generally has no gaps between rectangles, because it is a graphical display of a numerical variable and the horizontal axis follows a number scale.

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Question 3

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D

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.

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Question 4

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

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Question 5

For each of the following numerical variables, describe if the distribution of data would be symmetrical, positively skewed or negatively skewed. a. Annual incomes of employees in a multinational company. b. Weights of 1kilogram labeled bags of flour, processed by a large manufacturing company. c. Grades of students in an easy test.

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Question 6

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

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Question 7

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 8

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

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Question 9

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

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Question 10

With a line graph, the horizontal axis is stretched out to get a deceptive steeper slope.

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Question 11

Which of the following is the best type of chart for illustrating the GDP of Australia from 1960 to 2010? A A time-series chatt. B A scatter plot. C A histogram D A bar chart.

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Question 12

A list of share prices of 20 Australian companies at the end of a trading day would be an example of time-series data.

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Question 13

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.

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Question 14

The graphical format used to display the relationship between two numerical (quantitative) variables is the scatter diagram.

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Question 15

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 16

The following data are 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. 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?

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Question 17

Graphical deception is acceptable when the graph displays what the statistician would like the reader to believe, as opposed to the truth about the data.

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Question 18

Which of the following statements is false? A A frequency distribution counts the number of observations that fall into each of a series of intervals, called classes that cover the complete range of observations. B The intervals in a frequency distributi on must not overlap to ensure that each observation is assigned to an interval. C Although the frequency distribution provides information about how the numbers in the data set are distributed, the information is more easily understood and imparted by drawing a histogram. D The number of class intervals in a frequency distribution must be the same as the number of observations.

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Question 19

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.

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Question 20

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

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.

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

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

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

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

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

With a line graph, the horizontal axis is stretched out to get a deceptive steeper slope.

Which of the following is the best type of chart for illustrating the GDP of Australia from 1960 to 2010? A A time-series chatt. B A scatter plot. C A histogram D A bar chart.

A list of share prices of 20 Australian companies at the end of a trading day would be an example of time-series data.

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 graphical format used to display the relationship between two numerical (quantitative) variables is the scatter diagram.

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

Graphical deception is acceptable when the graph displays what the statistician would like the reader to believe, as opposed to the truth about the data.

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.

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

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