Question 1

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

Accepted Answer

A) The range. 
B) The interquartile range. 
C) The second quartile. 
D) The standard deviation. 
E) All of these choices are correct. 
A) The range. 
B) The interquartile range. 
C) The second quartile. 
D) The standard deviation. 
E) All of these choices are correct. D

Question 2

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

Accepted Answer

Bimodal.

Question 3

A sample of 25 families was asked how many pets they owned. Their responses are summarized in the following table. $$\begin{array} { | l | r | r | r | r | r | r | } 
\text { Number of pets } & 0 & 1 & 2 & 3 & 4 & 5 \
\hline \text { Number of families } & 3 & 10 & 5 & 4 & 2 & 1 \
\hline
\end{array}$$ 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.

Accepted Answer

a. x = 1.80 pet, median = 1 pet, mode = 1 pet.
b. The 'average' number of pets owned was 1.80 pets. Half the families own at most one pet, and the other half own at least one pet. The most frequent number of pets owned was one pet.

Question 4

The following data represent the numbers of bedrooms in a sample of 10 suburban houses in Mel-bourne:
$$\begin{array} { | r | r | r | r | r | r | r | r | r | r | } 
\hline 3 & 3 & 2 & 2 & 4 & 5 & 2 & 5 & 4 & 2 \
\hline
\end{array}$$
Use these data to answer the following question/s.

-a. Compute the range.
b. Compute the variance.
c. Compute the standard deviation.

Accepted Answer

a. range =

Question 5

The relative frequency histogram for the age (in years) of a sample of 25 employees from a
government department, is given below.   Explain what the best measure of central location is.

Accepted Answer

The distribution of ages is sl

Question 6

Data were obtained for the weight in grams, of a sample of 10 packets of sweetener, as found in cafés. $$\begin{array} { | l | l | l | l | l | l | l | l | l | l | } 
\hline 4.5 & 5 & 5.9 & 5.4 & 5.5 & 4.7 & 4.9 & 4.7 & 4.7 & 4.6 \
\hline
\end{array}$$ Find the mean, median and mode weight packet of sweetener and explain which is the best measure of central location.

Accepted Answer

Mean = 4.99 gm, Median = 4.8 gm, Mode =

Question 7

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

Accepted Answer

range = 6 hours, mea

Question 8

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

Accepted Answer

L₂₅ = 6.5. Q

Question 9

A sample of 12 measurements has a mean of 25 and a standard deviation of 4. Suppose that the sample is enlarged to 14 measurements, by including two additional measurements having a common value of 25.
a. Find the mean of the sample of 14 measurements.
b. Find the standard deviation of the sample of 14 measurements.

Accepted Answer

a. 11ec9313_c879_589

Question 10

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?

Accepted Answer

a. mean = median = m

Question 11

Data were obtained for the weight in grams, of a sample of 10 packets of sweetener, as found in cafés. $$\begin{array} { | l | l | l | l | l | l | l | l | l | l | } 
\hline 4.5 & 5 & 5.9 & 5.4 & 5.5 & 4.7 & 4.9 & 4.7 & 4.7 & 4.6 \
\hline
\end{array}$$ Find the variance.

Accepted Answer

Variance =

Question 12

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 range.

Accepted Answer

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

Question 13

The coefficient of determination measures the percentage of variation in the independent variable explained by the dependent variable.

Accepted Answer

A) True 
 B)False

Question 14

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?

Accepted Answer

A) 75%. 
B) At least 75%. 
C) 89%. 
D) At least 89%. 
A) 75%. 
B) At least 75%. 
C) 89%. 
D) At least 89%.

Question 15

The following data represent the weights (in kilograms) of a sample of 30 horses: Weight
$$\begin{array} { l } 
165 \
175 \
150 \
155 \
173 \
149 \
145 \
153 \
153 \
153 \
152 \
145 \
164 \
143 \
170 \
175 \
148 \
174 \
171 \
156 \
166 \
168 \
152 \
150 \
173 \
168 \
146 \
155 \
172 \
159
\end{array}$$ Are there any outliers?

Accepted Answer

@#IMG-DLM& There are

Question 16

The mode is the only measure of central location for a distribution of a nominal (categorical) variable.

Accepted Answer

A) True 
 B)False

Question 17

The following data represent the weights (in kilograms) of a sample of 30 horses: Weight
$$\begin{array} { l } 
165 \
175 \
150 \
155 \
173 \
149 \
145 \
153 \
153 \
153 \
152 \
145 \
164 \
143 \
170 \
175 \
148 \
174 \
171 \
156 \
166 \
168 \
152 \
150 \
173 \
168 \
146 \
155 \
172 \
159
\end{array}$$ Determine the location and value of the upper quartile of the weights.

Accepted Answer

L₇₅= 23.25,

Question 18

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

Accepted Answer

L₇₅ =19.5. Q

Question 19

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

Accepted Answer

A) 0.50. 
B) Less than 0.50 if the distribution is skewed to the left. 
C) More than 0.50 if the distribution is skewed to the right. 
D) Between 0.25 and 0.60 if the distribution is symmetric and unimodal. 
A) 0.50. 
B) Less than 0.50 if the distribution is skewed to the left. 
C) More than 0.50 if the distribution is skewed to the right. 
D) Between 0.25 and 0.60 if the distribution is symmetric and unimodal.

Question 20

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 median salary.

Accepted Answer

Median sal

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

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

The following data represent the numbers of bedrooms in a sample of 10 suburban houses in Mel-bourne: 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.

The relative frequency histogram for the age (in years) of a sample of 25 employees from a government department, is given below. Explain what the best measure of central location is.

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 mean, median and mode weight packet of sweetener and explain which is the best measure of central location.

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

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 lower quartile of the ages.

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?

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 variance.

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 range.

The coefficient of determination measures the percentage of variation in the independent variable explained by the dependent variable.

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?

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 Are there any outliers?

The mode is the only measure of central location for a distribution of a nominal (categorical) variable.

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 upper quartile of the weights.

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 upper quartile of the ages.

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 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 median salary.

What Is Statistics

Types of Data, Data Collection and Sampling

Graphical Descriptive Techniques Nominal Data

Graphical Descriptive Techniques Numerical Data

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 5: Numerical Descriptive Measures

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

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

The following data represent the numbers of bedrooms in a sample of 10 suburban houses in Mel-bourne: 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.

The relative frequency histogram for the age (in years) of a sample of 25 employees from a government department, is given below. Explain what the best measure of central location is.

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 mean, median and mode weight packet of sweetener and explain which is the best measure of central location.

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

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 lower quartile of the ages.

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?

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 variance.

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 range.

The coefficient of determination measures the percentage of variation in the independent variable explained by the dependent variable.

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?

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 Are there any outliers?

The mode is the only measure of central location for a distribution of a nominal (categorical) variable.

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 upper quartile of the weights.

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 upper quartile of the ages.

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 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 median salary.

What Is Statistics

Types of Data, Data Collection and Sampling

Graphical Descriptive Techniques Nominal Data

Graphical Descriptive Techniques Numerical Data

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