Question 1

The monthly costs of four different one-bedroom apartments are $1,200, $1,050, $1,320, $1,250. What is the median cost?

Accepted Answer

A)  $1,200 
B)  $1,250 
C)  the average of $1,200 and $1,250 
D)  the average of $1,050 and $1,320 
A)  $1,200 
B)  $1,250 
C)  the average of $1,200 and $1,250 
D)  the average of $1,050 and $1,320 C

Question 2

Which measure of central tendency would be the most relevant for summarizing the central tendency of bank executives' gender?

Accepted Answer

A)  mode 
B)  median 
C)  interquartile range 
D)  index of qualitative variation 
A)  mode 
B)  median 
C)  interquartile range 
D)  index of qualitative variation A

Question 3

What is the one central tendency statistic that can be accurately calculated for nominal, ordinal, and interval-ratio variables?

Accepted Answer

A)  mode 
B)  median 
C)  mean 
D)  variance 
A)  mode 
B)  median 
C)  mean 
D)  variance A

Question 4

A researcher has collected data on the citizenship of children in a local preschool. What would be the correct statistic to indicate the diversity of the children in that sample?

Accepted Answer

A)  the interquartile range 
B)  the index of qualitative variation 
C)  the median 
D)  the mode 
A)  the interquartile range 
B)  the index of qualitative variation 
C)  the median 
D)  the mode

Question 5

What does the expression   
instruct us to do?

Accepted Answer

A)  sum the scores 
B)  subtract every score from the mean 
C)  sum the scores and then subtract the mean 
D)  subtract the mean from each score and add up the deviations 
A)  sum the scores 
B)  subtract every score from the mean 
C)  sum the scores and then subtract the mean 
D)  subtract the mean from each score and add up the deviations

Question 6

Which of the following distributions most clearly illustrates a scenario where the mode fails to represent the central tendency of a distribution?

Accepted Answer

A)  115, 125, 132, 160, 185, 202 
B)  80, 82, 82, 82, 83, 84 
C)  315 488, 533, 696, 769, 769 
D)  1, 87, 229, 229, 229, 229, 480, 534 
A)  115, 125, 132, 160, 185, 202 
B)  80, 82, 82, 82, 83, 84 
C)  315 488, 533, 696, 769, 769 
D)  1, 87, 229, 229, 229, 229, 480, 534

Question 7

Table 3.1 Data Set of Six Volunteers at a Charitable Organization
  
-Refer to Table 3.1. What is the mean of years served in the organization?

Accepted Answer

A)  2 
B)  2.5 
C)  3 
D)  5 
A)  2 
B)  2.5 
C)  3 
D)  5

Question 8

In an election campaign debate about the level of prosperity in Canada, the Prime Minister says, "Average income is $53,000." One of his opponents responds, "The average Canadian earns only $38,000." Both statements are true. Why is it possible that both statements are true?

Accepted Answer

A)  because the opponent is using the mean 
B)  because the Prime Minister is using the mean 
C)  because the Prime Minister is citing the median 
D)  because the opponent is using the mode 
A)  because the opponent is using the mean 
B)  because the Prime Minister is using the mean 
C)  because the Prime Minister is citing the median 
D)  because the opponent is using the mode

Question 9

Table 3.3 Means and Standard Deviations in Monthly Accident Events for Two Mining Companies, 2014-2018
  
-Refer to Table 3.3. What is the value for the variance of H & W Energy Resources?

Accepted Answer

A)  = 2.43   
B)  5.9 - 3.6 = 2.3 
C)  5.9 + 3.6 = 9.5 
D)  5.92 = 34.81 
A)  = 2.43   
B)  5.9 - 3.6 = 2.3 
C)  5.9 + 3.6 = 9.5 
D)  5.92 = 34.81

Question 10

The mean square footage of a 20-home Ontario suburban neighbourhood is 1,775 square feet. The developers are considering building a 13,500 square-foot mansion on the edge of the neighbourhood. What measure of the neighbourhood's central tendency would be most affected if the mansion was built?

Accepted Answer

A)  the mode 
B)  the median 
C)  the mean 
D)  the variation ratio 
A)  the mode 
B)  the median 
C)  the mean 
D)  the variation ratio

Question 11

The mean height of a 22-member university women's hockey team is 175.2 cm. If we subtracted each of the 22 players' heights from the mean value and added these differences together, what would the overall sum of the deviations be?

Accepted Answer

A)  It is impossible to tell from the information given. 
B)  0 
C)  175.20/2 = 87.60 
D)  175.20 
A)  It is impossible to tell from the information given. 
B)  0 
C)  175.20/2 = 87.60 
D)  175.20

Question 12

A teacher examines the distribution of test scores from a calculus class. She calculates both the median and the mean and discovers that they are equal. What can she conclude?

Accepted Answer

A)  The distribution is negatively skewed. 
B)  The mode is equal to the standard deviation. 
C)  The distribution is symmetrical. 
D)  The range is equal to the interquartile range. 
A)  The distribution is negatively skewed. 
B)  The mode is equal to the standard deviation. 
C)  The distribution is symmetrical. 
D)  The range is equal to the interquartile range.

Question 13

What can we conclude about a set of scores in which the mean is 18 and the standard deviation is 0?

Accepted Answer

A)  The range is also 0. 
B)  The range is equal to 1. 
C)  The variance is smaller than the standard deviation. 
D)  The variance is larger than the standard deviation. 
A)  The range is also 0. 
B)  The range is equal to 1. 
C)  The variance is smaller than the standard deviation. 
D)  The variance is larger than the standard deviation.

Question 14

Which of the following describes the symbol Q3?

Accepted Answer

A)  the third quintile 
B)  the first quartile 
C)  the third quartile 
D)  the third percentile 
A)  the third quintile 
B)  the first quartile 
C)  the third quartile 
D)  the third percentile

Question 15

Which of these statements describes the difference between variance and standard deviation?

Accepted Answer

A)  Variance is an indicator of dispersion; standard deviation is an indicator of central tendency. 
B)  Standard deviations are more affected by outlying values than are variances. 
C)  Standard deviations are always smaller than variances when variance >1. 
D)  There are no differences: the terms are synonyms. 
A)  Variance is an indicator of dispersion; standard deviation is an indicator of central tendency. 
B)  Standard deviations are more affected by outlying values than are variances. 
C)  Standard deviations are always smaller than variances when variance >1. 
D)  There are no differences: the terms are synonyms.

Question 16

A city block has 30 restaurants, all of which are Vietnamese, Korean, or Chinese eateries. What would an index of qualitative variation (IQV) score of 0.40 represent?

Accepted Answer

A)  more dispersion than if the IQV had been 0.60 
B)  less dispersion than if the IQV had been 0.25 
C)  The block is 40% as diverse in its restaurants as it could be, given the three types of restaurants present. 
D)  The block is 60% as diverse in its restaurants as it could be, given the three types of restaurants present. 
A)  more dispersion than if the IQV had been 0.60 
B)  less dispersion than if the IQV had been 0.25 
C)  The block is 40% as diverse in its restaurants as it could be, given the three types of restaurants present. 
D)  The block is 60% as diverse in its restaurants as it could be, given the three types of restaurants present.

Question 17

Which of these statements best represents the index of qualitative variation?

Accepted Answer

A)  the proportion of cases that fall within the category of the mode 
B)  the most commonly occurring value in the distribution 
C)  the distance between the highest score and the lowest score 
D)  the amount of variation observed in a distribution relative to how much variation there could be 
A)  the proportion of cases that fall within the category of the mode 
B)  the most commonly occurring value in the distribution 
C)  the distance between the highest score and the lowest score 
D)  the amount of variation observed in a distribution relative to how much variation there could be

Question 18

Table 3.2 Park Space in Five Neighbourhoods of a Fictional City
  
-Refer to Table 3.2. Which of the following describes the distribution of park space?

Accepted Answer

A)  negatively skewed 
B)  positively skewed 
C)  symmetric 
D)  unclear from the information given 
A)  negatively skewed 
B)  positively skewed 
C)  symmetric 
D)  unclear from the information given

Question 19

Which of these statements tells why a researcher would report a measure of dispersion?

Accepted Answer

A)  to indicate whether the sample was large enough for statistical inference 
B)  to indicate whether the sample was representative of the population 
C)  to indicate the amount of variety within the distribution of scores 
D)  to indicate what score was typical for the sample 
A)  to indicate whether the sample was large enough for statistical inference 
B)  to indicate whether the sample was representative of the population 
C)  to indicate the amount of variety within the distribution of scores 
D)  to indicate what score was typical for the sample

Question 20

Describe what a boxplot portrays and explain what its "whiskers" are.

Accepted Answer

∙ A boxplot shows the lowest score, firs

The monthly costs of four different one-bedroom apartments are $1,200, $1,050, $1,320, $1,250. What is the median cost?

Which measure of central tendency would be the most relevant for summarizing the central tendency of bank executives' gender?

What is the one central tendency statistic that can be accurately calculated for nominal, ordinal, and interval-ratio variables?

A researcher has collected data on the citizenship of children in a local preschool. What would be the correct statistic to indicate the diversity of the children in that sample?

What does the expression instruct us to do?

Which of the following distributions most clearly illustrates a scenario where the mode fails to represent the central tendency of a distribution?

Table 3.1 Data Set of Six Volunteers at a Charitable Organization -Refer to Table 3.1. What is the mean of years served in the organization?

In an election campaign debate about the level of prosperity in Canada, the Prime Minister says, "Average income is $53,000." One of his opponents responds, "The average Canadian earns only $38,000." Both statements are true. Why is it possible that both statements are true?

Table 3.3 Means and Standard Deviations in Monthly Accident Events for Two Mining Companies, 2014-2018 -Refer to Table 3.3. What is the value for the variance of H & W Energy Resources?

The mean square footage of a 20-home Ontario suburban neighbourhood is 1,775 square feet. The developers are considering building a 13,500 square-foot mansion on the edge of the neighbourhood. What measure of the neighbourhood's central tendency would be most affected if the mansion was built?

The mean height of a 22-member university women's hockey team is 175.2 cm. If we subtracted each of the 22 players' heights from the mean value and added these differences together, what would the overall sum of the deviations be?

A teacher examines the distribution of test scores from a calculus class. She calculates both the median and the mean and discovers that they are equal. What can she conclude?

What can we conclude about a set of scores in which the mean is 18 and the standard deviation is 0?

Which of the following describes the symbol Q₃?

Which of these statements describes the difference between variance and standard deviation?

A city block has 30 restaurants, all of which are Vietnamese, Korean, or Chinese eateries. What would an index of qualitative variation (IQV) score of 0.40 represent?

Which of these statements best represents the index of qualitative variation?

Table 3.2 Park Space in Five Neighbourhoods of a Fictional City -Refer to Table 3.2. Which of the following describes the distribution of park space?

Which of these statements tells why a researcher would report a measure of dispersion?

Describe what a boxplot portrays and explain what its "whiskers" are.

Introduction

Basic Descriptive Statistics: Percentages, Ratios and Rates, Tables, Charts, and Graphs

The Normal Curve

Introduction to Inferential Statistics: Sampling and the Sampling Distribution

Estimation Procedures for Sample Means and Proportions

Hypothesis Testing With Nominal and Ordinal Variables: CHI Square

Measures of Association for Variables Measured at the Nominal Level

Measures of Association for Variables Measured at the Ordinal Level

Hypothesis Testing With Means and Proportions: The One-Sample Case

Hypothesis Testing With Means and Proportions: The Two-Sample Case

Hypothesis Testing With More Than Two Means: One-Way Analysis of Variance

Hypothesis Testing and Measures of Association for Variables Measured at the Interval-Ratio Level

Partial Correlation and Multiple Regression and Correlation

Filters

Exam 3: Measures of Central Tendency and Dispersion

The monthly costs of four different one-bedroom apartments are $1,200, $1,050, $1,320, $1,250. What is the median cost?

Which measure of central tendency would be the most relevant for summarizing the central tendency of bank executives' gender?

What is the one central tendency statistic that can be accurately calculated for nominal, ordinal, and interval-ratio variables?

A researcher has collected data on the citizenship of children in a local preschool. What would be the correct statistic to indicate the diversity of the children in that sample?

What does the expression instruct us to do?

Which of the following distributions most clearly illustrates a scenario where the mode fails to represent the central tendency of a distribution?

Table 3.1 Data Set of Six Volunteers at a Charitable Organization -Refer to Table 3.1. What is the mean of years served in the organization?

In an election campaign debate about the level of prosperity in Canada, the Prime Minister says, "Average income is $53,000." One of his opponents responds, "The average Canadian earns only $38,000." Both statements are true. Why is it possible that both statements are true?

Table 3.3 Means and Standard Deviations in Monthly Accident Events for Two Mining Companies, 2014-2018 -Refer to Table 3.3. What is the value for the variance of H & W Energy Resources?

The mean square footage of a 20-home Ontario suburban neighbourhood is 1,775 square feet. The developers are considering building a 13,500 square-foot mansion on the edge of the neighbourhood. What measure of the neighbourhood's central tendency would be most affected if the mansion was built?

The mean height of a 22-member university women's hockey team is 175.2 cm. If we subtracted each of the 22 players' heights from the mean value and added these differences together, what would the overall sum of the deviations be?

A teacher examines the distribution of test scores from a calculus class. She calculates both the median and the mean and discovers that they are equal. What can she conclude?

What can we conclude about a set of scores in which the mean is 18 and the standard deviation is 0?

Which of the following describes the symbol Q3?

Which of these statements describes the difference between variance and standard deviation?

A city block has 30 restaurants, all of which are Vietnamese, Korean, or Chinese eateries. What would an index of qualitative variation (IQV) score of 0.40 represent?

Which of these statements best represents the index of qualitative variation?

Table 3.2 Park Space in Five Neighbourhoods of a Fictional City -Refer to Table 3.2. Which of the following describes the distribution of park space?

Which of these statements tells why a researcher would report a measure of dispersion?

Describe what a boxplot portrays and explain what its "whiskers" are.

Introduction

Basic Descriptive Statistics: Percentages, Ratios and Rates, Tables, Charts, and Graphs

The Normal Curve

Introduction to Inferential Statistics: Sampling and the Sampling Distribution

Estimation Procedures for Sample Means and Proportions

Hypothesis Testing With Nominal and Ordinal Variables: CHI Square

Measures of Association for Variables Measured at the Nominal Level

Measures of Association for Variables Measured at the Ordinal Level

Hypothesis Testing With Means and Proportions: The One-Sample Case

Hypothesis Testing With Means and Proportions: The Two-Sample Case

Hypothesis Testing With More Than Two Means: One-Way Analysis of Variance

Hypothesis Testing and Measures of Association for Variables Measured at the Interval-Ratio Level

Partial Correlation and Multiple Regression and Correlation

Filters

Which of the following describes the symbol Q₃?