Which of the following statements is true for the following data values: 7, 5, 6, 4, 7, 8 and 12? \(\begin{array}{|l|l|} \hline A&\text {The mean, median and mode are all equal. }\\ \hline B&\text { Only the mean and median are equal.}\\ \hline C&\text {Only the mean and mode are equal. }\\ \hline D&\text {Only the median and mode are equal. }\\ \hline \end{array}\)

The answer of Which of the following statements is true...

The following data represent the ages (in years) of a sample of 25 employees from a government department: \(\begin{array}{|l|l|l|l|l|l|l|l|l|l|} \hline 31 & 43 & 56 & 23 & 49 & 42 & 33 & 61 & 44 & 28 \\ \hline 48 & 38 & 44 & 35 & 40 & 64 & 52 & 42 & 47 & 39 \\ \hline 53 & 27 & 36 & 35 & 20 & & & & & \\ \hline \end{array}\) Find the median age.

The answer of The following data represent the ages (in...

Which of the following statements describes when the median is a better measure of centre than the mean? \(\begin{array}{|l|l|} \hline A&\text {When the distribution is symmetric. }\\ \hline B&\text {When the distribution is positively skewed. }\\ \hline C&\text {When the distribution Is negatively skewed. }\\ \hline D&\text { When the distribution is positively skewed or negatively skewed.}\\ \hline \end{array}\)

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

Which of the following best describes the width of the box in the box-and-whisker plot? \(\begin{array}{|l|l|} \hline A&\text {The width of the box is the median. }\\ \hline B&\text { The width of the box is the range.}\\ \hline C&\text {The width of the box is the interquartile range. }\\ \hline D&\text { The width of the box is the standard deviation.}\\ \hline \end{array}\)

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

The following data are the heights (in cm) of the 25 students in a business statistics class: \[\begin{array} { | l | l | l | l | l | l | l | l | l | l | } \hline 164 & 148 & 137 & 157 & 173 & 156 & 177 & 172 & 169 & 165 \\ \hline 145 & 168 & 163 & 162 & 174 & 152 & 156 & 168 & 154 & 151 \\ \hline 174 & 146 & 134 & 140 & 171 & & & & & \\ \hline \end{array}\] Find the median height.

The answer of The following data are the heights (in...

Which of the following would be the value of the correlation coefficient of two variables which are not linearly related. \(\begin{array}{|l|l|} \hline A&\text {1 }\\ \hline B&\text {-1 }\\ \hline C&\text { 0.5}\\ \hline D&\text {0 }\\ \hline \end{array}\)

The answer of Which of the following would be the...

a. Calculate the covariance and the coefficient of correlation for the following sample. \[\begin{array} { | l | r | r | r | r | r | } \hline x & 9 & 6 & 7 & 5 & 8 \\ \hline y & 19 & 14 & 16 & 12 & 15 \\ \hline \end{array}\] b. What do these statistics tell you about the relationship between X and Y?

a. @#IMG-DLM& @#IMG-DLM& b. The covariance tells u

Exam 5: Numerical Descriptive Measures

The empirical rule states that the percentage of observations in a data set (provided that the data set has a bell-shaped and symmetric distribution) that fall within one standard deviation of their mean is approximately 75%.

(True/False)

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Question 61

Which of the following statements is true for the following data values: 7, 5, 6, 4, 7, 8 and 12? A The mean, median and mode are all equal. B Only the mean and median are equal. C Only the mean and mode are equal. D Only the median and mode are equal.

(Short Answer)

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Question 62

The left side of the box in a boxplot is the first quartile and the right side of the box in a boxplot is the third quartile, so the width of the box is the interquartile range.

(True/False)

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Question 63

The standard deviation is expressed in terms of the original units of measurement, but the variance is not.

(True/False)

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Question 64

The following data represent the ages (in years) of a sample of 25 employees from a government department: 31 43 56 23 49 42 33 61 44 28 48 38 44 35 40 64 52 42 47 39 53 27 36 35 20 Calculate the 2nd quintile. (Hint: 2^nd quintile is L_40.)

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Question 65

According to Chebyshev's theorem, which of the following is the percentage of measurements in a data set that fall within three standard deviations of their mean? A 75 \% B At l east 75 \% . C 89 \% . D At l east 89\% .

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Question 66

The following data represent the ages (in years) of a sample of 25 employees from a government department: 31 43 56 23 49 42 33 61 44 28 48 38 44 35 40 64 52 42 47 39 53 27 36 35 20 Find the median age.

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Question 67

The value of the standard deviation will always exceed that of the variance.

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Question 68

The following data represent the weights (in kilograms) of a sample of 30 horses: 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 Determine the location and value of the lower quartile of the weights.

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Question 69

Which of the following statements describes when the median is a better measure of centre than the mean? A When the distribution is symmetric. B When the distribution is positively skewed. C When the distribution Is negatively skewed. D When the distribution is positively skewed or negatively skewed.

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Question 70

Which of the following best describes the width of the box in the box-and-whisker plot? A The width of the box is the median. B The width of the box is the range. C The width of the box is the interquartile range. D The width of the box is the standard deviation.

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Question 71

The coefficient of correlation is the same value as the coefficient of determination.

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Question 72

The following data represent the weights (in kilograms) of a sample of 30 horses: 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 Construct a box plot for the weights.

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Question 73

Data were obtained for the weight in grams, of a sample of 10 packets of sweetener, as found in cafés. 4.5 5 5.9 5.4 5.5 4.7 4.9 4.7 4.7 4.6 Find the standard deviation.

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Question 74

The following data are the heights (in cm) of the 25 students in a business statistics class: 164 148 137 157 173 156 177 172 169 165 145 168 163 162 174 152 156 168 154 151 174 146 134 140 171 Find the median height.

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Question 75

Which of the following would be the value of the correlation coefficient of two variables which are not linearly related. A 1 B -1 C 0.5 D 0

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Question 76

a. Calculate the covariance and the coefficient of correlation for the following sample. x 9 6 7 5 8 y 19 14 16 12 15 b. What do these statistics tell you about the relationship between X and Y?

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Question 77

According to the empirical rule, which of the following is the approximate percentage of measurements in a data set (provided that the data set has a bell-shaped distribution) that fall within two standard deviations of their mean? A 68\% B 75\% C 95\% D 99\%

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Question 78

What measure of central location is best used with a categorical variable? A The mean, median or the mode if the distribution is symmetric. B The median if the distribution is skewed. C The range. D The mode.

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Question 79

The following data represent the numbers of bedrooms in a sample of 10 suburban houses in Melbourne: 3 3 2 2 4 5 2 5 4 2 Use these data to answer the following question/s. -a. Compute the range. b. Compute the variance. c. Compute the standard deviation.

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Question 80

Exam 5: Numerical Descriptive Measures

The empirical rule states that the percentage of observations in a data set (provided that the data set has a bell-shaped and symmetric distribution) that fall within one standard deviation of their mean is approximately 75%.

Which of the following statements is true for the following data values: 7, 5, 6, 4, 7, 8 and 12? A The mean, median and mode are all equal. B Only the mean and median are equal. C Only the mean and mode are equal. D Only the median and mode are equal.

The left side of the box in a boxplot is the first quartile and the right side of the box in a boxplot is the third quartile, so the width of the box is the interquartile range.

The standard deviation is expressed in terms of the original units of measurement, but the variance is not.

The following data represent the ages (in years) of a sample of 25 employees from a government department: 31 43 56 23 49 42 33 61 44 28 48 38 44 35 40 64 52 42 47 39 53 27 36 35 20 Calculate the 2nd quintile. (Hint: 2nd quintile is L40.)

According to Chebyshev's theorem, which of the following is the percentage of measurements in a data set that fall within three standard deviations of their mean? A 75 \% B At l east 75 \% . C 89 \% . D At l east 89\% .

The following data represent the ages (in years) of a sample of 25 employees from a government department: 31 43 56 23 49 42 33 61 44 28 48 38 44 35 40 64 52 42 47 39 53 27 36 35 20 Find the median age.

The value of the standard deviation will always exceed that of the variance.

The following data represent the weights (in kilograms) of a sample of 30 horses: 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 Determine the location and value of the lower quartile of the weights.

Which of the following best describes the width of the box in the box-and-whisker plot? A The width of the box is the median. B The width of the box is the range. C The width of the box is the interquartile range. D The width of the box is the standard deviation.

The coefficient of correlation is the same value as the coefficient of determination.

The following data represent the weights (in kilograms) of a sample of 30 horses: 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 Construct a box plot for the weights.

Data were obtained for the weight in grams, of a sample of 10 packets of sweetener, as found in cafés. 4.5 5 5.9 5.4 5.5 4.7 4.9 4.7 4.7 4.6 Find the standard deviation.

The following data are the heights (in cm) of the 25 students in a business statistics class: 164 148 137 157 173 156 177 172 169 165 145 168 163 162 174 152 156 168 154 151 174 146 134 140 171 Find the median height.

Which of the following would be the value of the correlation coefficient of two variables which are not linearly related. A 1 B -1 C 0.5 D 0

a. Calculate the covariance and the coefficient of correlation for the following sample. x 9 6 7 5 8 y 19 14 16 12 15 b. What do these statistics tell you about the relationship between X and Y?

According to the empirical rule, which of the following is the approximate percentage of measurements in a data set (provided that the data set has a bell-shaped distribution) that fall within two standard deviations of their mean? A 68\% B 75\% C 95\% D 99\%

What measure of central location is best used with a categorical variable? A The mean, median or the mode if the distribution is symmetric. B The median if the distribution is skewed. C The range. D The mode.

The following data represent the numbers of bedrooms in a sample of 10 suburban houses in Melbourne: 3 3 2 2 4 5 2 5 4 2 Use these data to answer the following question/s. -a. Compute the range. b. Compute the variance. c. Compute the standard deviation.

What Is Statistics

Types of Data, Data Collection and Sampling

Graphical Descriptive Methods Nominal Data

Graphical Descriptive Techniques Numerical Data

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

The following data represent the ages (in years) of a sample of 25 employees from a government department: 31 43 56 23 49 42 33 61 44 28 48 38 44 35 40 64 52 42 47 39 53 27 36 35 20 Calculate the 2nd quintile. (Hint: 2^nd quintile is L_40.)