The following data represent the salaries (in thousands of dollars) of a sample of 13 employees of a firm: \[\begin{array} { | l | l | l | l | l | l | l | } \hline 26.5 & 23.5 & 29.7 & 24.8 & 21.1 & 24.3 & 20.4 \\ \hline 22.7 & 27.2 & 23.7 & 24.1 & 24.8 & 28.2 & \\ \hline \end{array}\] Compute the mean salary.

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

A sample of 25 families was asked how many pets they owned. Their responses are summarized in the following table. \[\begin{array} { | l | r | r | r | r | l | l | } \hline \text { Number of pets } & 0 & 1 & 2 & 3 & 4 & 5 \\ \hline \text { Number of families } & 3 & 10 & 5 & 4 & 2 & 1 \\ \hline \end{array}\] a. Determine the mean, the median and the mode of the number of pets owned per family. b. Describe briefly what each statistic in part (a) tells you about the data.

a. x = 1.80 pet, median = 1 pet, mode =

The following data provide the hours of television viewing per week for a sample of 15 high school students in Darwin: \[\begin{array} { | r | r | r | r | r | r | r | r | } \hline 5 & 11 & 25 & 19 & 18 & 20 & 27 & 13 \\ \hline 8 & 10 & 15 & 19 & 8 & 9 & 12 & \\ \hline \end{array}\] a. Determine the locations and values of the first, second and third quartiles. b. Calculate the interquartile range. c. Interpret the value of the interquartile range.

a. L 25 = 4, Q 1 = 10, L 50 = 8, Q 2 = 1

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...

Exam 5: Numerical Descriptive Measures

The following data represent the salaries (in thousands of dollars) of a sample of 13 employees of a firm: 26.5 23.5 29.7 24.8 21.1 24.3 20.4 22.7 27.2 23.7 24.1 24.8 28.2 Compute the mean salary.

(Short Answer)

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Question 21

A sample of 25 families was asked how many pets they owned. Their responses are summarized in the following table. Number of pets 0 1 2 3 4 5 Number of families 3 10 5 4 2 1 a. Determine the mean, the median and the mode of the number of pets owned per family. b. Describe briefly what each statistic in part (a) tells you about the data.

(Essay)

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Question 22

The mean of a sample of 15 measurements is 35.6. Suppose that the sample is enlarged to 16 measurements, by including one additional measurement having a value of 42. Find the mean of the sample of 16 measurements.

(Short Answer)

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Question 23

Explain the best measure of central location, for each of the following: a. Method of travelling to work. b. Average income of university students. c. Average weight of a 1kg bag of flour.

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Question 24

A data sample has a mean of 107, a median of 122 and a mode of 134. The distribution of the data is positively skewed.

(True/False)

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Question 25

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.

(Essay)

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Question 26

A sample of 16 observations has a standard deviation of 2. Which of the following is the sum of the squared deviations from the sample mean?

(Multiple Choice)

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Question 27

Which of the following summary measures cannot be easily approximated from a box-and-whisker plot?

(Multiple Choice)

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Question 28

The value of the standard deviation may be either positive or negative, while the value of the variance will always be positive.

(True/False)

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Question 29

A linear regression model estimating the relationship between Expenditure on Imports and Annual household income has an r² value of 0.81. Interpret r².

(Essay)

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Question 30

If the coefficient of correlation r = 0, then there is no linear relationship between the dependent variable y and the independent variable x.

(True/False)

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Question 31

The number of hours a college student spent studying during the final exam week was recorded as follows: 7 6 4 9 8 5 10 Compute the range, x, s² and s for these data. Express each number in appropriate units.

(Essay)

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Question 32

Which of the following statements is true?

(Multiple Choice)

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Question 33

Which of the following is the best measure of variability if the distribution of a set of data is skewed?

(Multiple Choice)

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Question 34

The following data provide the hours of television viewing per week for a sample of 15 high school students in Darwin: 5 11 25 19 18 20 27 13 8 10 15 19 8 9 12 a. Determine the locations and values of the first, second and third quartiles. b. Calculate the interquartile range. c. Interpret the value of the interquartile range.

(Essay)

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Question 35

Is the following histogram constructed from the weight data unimodal, bimodal or multimodal?

(Essay)

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Question 36

What are the relative magnitudes of the mean, median and mode for a unimodal distribution that is: a. symmetrical? b. skewed to the left? c. skewed to the right?

(Essay)

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Question 37

Which of the following is the proportion of the total area that must be to the left of the median, in a histogram?

(Multiple Choice)

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Question 38

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 Find the median weight.

(Essay)

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Question 39

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.

(Short Answer)

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Question 40

Showing 21 - 40 of 147

Exam 5: Numerical Descriptive Measures

The following data represent the salaries (in thousands of dollars) of a sample of 13 employees of a firm: 26.5 23.5 29.7 24.8 21.1 24.3 20.4 22.7 27.2 23.7 24.1 24.8 28.2 Compute the mean salary.

The mean of a sample of 15 measurements is 35.6. Suppose that the sample is enlarged to 16 measurements, by including one additional measurement having a value of 42. Find the mean of the sample of 16 measurements.

Explain the best measure of central location, for each of the following: a. Method of travelling to work. b. Average income of university students. c. Average weight of a 1kg bag of flour.

A data sample has a mean of 107, a median of 122 and a mode of 134. The distribution of the data is positively skewed.

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.

A sample of 16 observations has a standard deviation of 2. Which of the following is the sum of the squared deviations from the sample mean?

Which of the following summary measures cannot be easily approximated from a box-and-whisker plot?

The value of the standard deviation may be either positive or negative, while the value of the variance will always be positive.

A linear regression model estimating the relationship between Expenditure on Imports and Annual household income has an r2 value of 0.81. Interpret r2.

If the coefficient of correlation r = 0, then there is no linear relationship between the dependent variable y and the independent variable x.

The number of hours a college student spent studying during the final exam week was recorded as follows: 7 6 4 9 8 5 10 Compute the range, x, s2 and s for these data. Express each number in appropriate units.

Which of the following statements is true?

Which of the following is the best measure of variability if the distribution of a set of data is skewed?

Is the following histogram constructed from the weight data unimodal, bimodal or multimodal?

What are the relative magnitudes of the mean, median and mode for a unimodal distribution that is: a. symmetrical? b. skewed to the left? c. skewed to the right?

Which of the following is the proportion of the total area that must be to the left of the median, in a histogram?

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 Find the median weight.

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.

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

A linear regression model estimating the relationship between Expenditure on Imports and Annual household income has an r² value of 0.81. Interpret r².

The number of hours a college student spent studying during the final exam week was recorded as follows: 7 6 4 9 8 5 10 Compute the range, x, s² and s for these data. Express each number in appropriate units.