Question 1

A sample of the daily production of transceivers was organized into the following distribution.   What is the mean daily production?

Accepted Answer

A)  106.4 
B)  101.4 
C)  111.4 
D)  105.0 
E)  20.0 
A)  106.4 
B)  101.4 
C)  111.4 
D)  105.0 
E)  20.0

Question 2

A sample of assistant professors on the business faculty at the largest college in Ontario revealed the mean annual income to be $32,000 with a standard deviation of $3,000. Using the Empirical Rule, what proportion of faculty earn more than $26,000 but less than $38,000?

Accepted Answer

A)  At least 50% 
B)  Approximately 68% 
C)  At least 75% 
D)  Approximately 95% 
E)  Almost all 
A)  At least 50% 
B)  Approximately 68% 
C)  At least 75% 
D)  Approximately 95% 
E)  Almost all

Question 3

Determine the age of the oldest person who died in this sample.

Accepted Answer

A)  37.3 
B)  39.5 
C)  44.9 
D)  76.8 
E)  None of the choices are correct. 
A)  37.3 
B)  39.5 
C)  44.9 
D)  76.8 
E)  None of the choices are correct.

Question 4

i. In a negatively skewed distribution, the mean is always greater than the median. 
ii. In a negatively skewed distribution, the median occurs at the peak of the curve. 
iii. In a positively skewed distribution, the mode is greater than the median.

Accepted Answer

A)  (i), (ii) and (iii) are all correct statements 
B)  (i) and, (ii) are correct statements but not (iii). 
C)  (i) and, (iii) are correct statements but not (ii). 
D)  (i) is a correct statement, but not (ii) or (iii). 
E)  All statements are false 
A)  (i), (ii) and (iii) are all correct statements 
B)  (i) and, (ii) are correct statements but not (iii). 
C)  (i) and, (iii) are correct statements but not (ii). 
D)  (i) is a correct statement, but not (ii) or (iii). 
E)  All statements are false

Question 5

The mean, as a measure of central tendency, would be inappropriate for which one of the following?

Accepted Answer

A)  Ages of adults at a senior citizen center 
B)  Incomes of lawyers 
C)  Number of pages in textbooks on statistics 
D)  Marital status of college students at a particular university 
E)  None of the choices are correct. 
A)  Ages of adults at a senior citizen center 
B)  Incomes of lawyers 
C)  Number of pages in textbooks on statistics 
D)  Marital status of college students at a particular university 
E)  None of the choices are correct.

Question 6

A research analyst wants to compare the dispersion in the price-earnings ratios for a group of common stock with their return on investment. For the price-earnings ratios, the mean is 10.9 and the standard deviation is 1.8. The mean return on investment is 25 percent and the standard deviation 5.2 percent. What is the relative dispersion for the price-earnings ratios and return on investment?

Accepted Answer

A)  Ratios = 32.0 percent, investment = 19.0 percent 
B)  Ratios = 16.5 percent, investment = 20.8 percent 
C)  Ratios = 132.0 percent, investment = 190.0 percent 
D)  Ratios = 50.0 percent, investment = 10.0 percent 
E)  None of the choices are correct. 
A)  Ratios = 32.0 percent, investment = 19.0 percent 
B)  Ratios = 16.5 percent, investment = 20.8 percent 
C)  Ratios = 132.0 percent, investment = 190.0 percent 
D)  Ratios = 50.0 percent, investment = 10.0 percent 
E)  None of the choices are correct.

Question 7

i. In a positively skewed distribution, the mean is always greater than the median. 
ii. In a negatively skewed distribution, the median occurs at the peak of the curve. 
iii. In a negatively skewed distribution, the mode is greater than the median.

Accepted Answer

A)  (i), (ii) and (iii) are all correct statements 
B)  (i) and, (ii) are correct statements but not (iii). 
C)  (i) and, (iii) are correct statements but not (ii). 
D)  (i) is a correct statement, but not (ii) or (iii). 
E)  All statements are false 
A)  (i), (ii) and (iii) are all correct statements 
B)  (i) and, (ii) are correct statements but not (iii). 
C)  (i) and, (iii) are correct statements but not (ii). 
D)  (i) is a correct statement, but not (ii) or (iii). 
E)  All statements are false

Question 8

What is a disadvantage of the range as a measure of dispersion?

Accepted Answer

A)  Based on only two observations 
B)  Can be distorted by a large mean 
C)  Not in the same units as the original data 
D)  Has no disadvantage 
E)  None of the choices are correct. 
A)  Based on only two observations 
B)  Can be distorted by a large mean 
C)  Not in the same units as the original data 
D)  Has no disadvantage 
E)  None of the choices are correct.

Question 9

Describe the shape of the age of death distribution.

Accepted Answer

A)  Slight positive skewness 
B)  Slight negative skewness 
C)  Perfectly symmetrical 
D)  You cannot determine this from the data given 
E)  Strong negative skewness 
A)  Slight positive skewness 
B)  Slight negative skewness 
C)  Perfectly symmetrical 
D)  You cannot determine this from the data given 
E)  Strong negative skewness

Question 10

The following are the weekly amounts of welfare payments made by the federal government to a sample of six families: $139, $136, $130, $136, $147 and $136. What is the range?

Accepted Answer

A)  $0 
B)  $14 
C)  $52 
D)  $17 
E)  None of the choices are correct. 
A)  $0 
B)  $14 
C)  $52 
D)  $17 
E)  None of the choices are correct.

Question 11

A study has been made of the number of hours a light bulb will operate before it burns out. If the variance of this distribution were computed, it would be measured in ________.

Accepted Answer

The answer of A study has been made of the...

Question 12

Which one of the following is referred to as the population mean?

Accepted Answer

A)  Statistic 
B)  µ 
C)  Sample 
D)  ∑ 
E)  None of the choices are correct. 
A)  Statistic 
B)  µ 
C)  Sample 
D)  ∑ 
E)  None of the choices are correct.

Question 13

What is the relationship among the mean, median and mode in a symmetric distribution?

Accepted Answer

A)  All equal 
B)  Mean is always the smallest value 
C)  Mean is always the largest value 
D)  Mode is the largest value 
E)  None of the choices are correct. 
A)  All equal 
B)  Mean is always the smallest value 
C)  Mean is always the largest value 
D)  Mode is the largest value 
E)  None of the choices are correct.

Question 14

i. The standard deviation is the positive square root of the variance. 
ii. For a symmetrical distribution, the variance is equal to the standard deviation.
Iii) If the standard deviation of the ages of a female group of employees is six years and the standard deviation of the ages of a male group in the same plant is ten years, it indicates that there is more spread in the ages of the female employees.

Accepted Answer

A)  (i), (ii) and (iii) are all correct statements 
B)  (i) and, (ii) are correct statements but not (iii). 
C)  (i) and, (iii) are correct statements but not (ii). 
D)  (i) is a correct statement, but not (ii) or (iii). 
E)  All statements are false 
A)  (i), (ii) and (iii) are all correct statements 
B)  (i) and, (ii) are correct statements but not (iii). 
C)  (i) and, (iii) are correct statements but not (ii). 
D)  (i) is a correct statement, but not (ii) or (iii). 
E)  All statements are false

Question 15

What is the relationship between the variance and the standard deviation?

Accepted Answer

A)  Variance is the square root of the standard deviation 
B)  Variance is the square of the standard deviation 
C)  Variance is twice the standard deviation 
D)  No constant relationship between the variance and the standard deviation 
E)  None of the choices are correct. 
A)  Variance is the square root of the standard deviation 
B)  Variance is the square of the standard deviation 
C)  Variance is twice the standard deviation 
D)  No constant relationship between the variance and the standard deviation 
E)  None of the choices are correct.

Question 16

Each person who applies for an assembly job at Robert's Electronics is given a mechanical aptitude test. One part of the test involves assembling a plug-in unit based on numbered instructions. A sample of the length of time it took 42 persons to assemble the unit was organized into the following frequency distribution.   What is the standard deviation (in minutes)?

Accepted Answer

A)  3.89 
B)  6.01 
C)  8.78 
D)  17.00 
E)  None of the choices are correct. 
A)  3.89 
B)  6.01 
C)  8.78 
D)  17.00 
E)  None of the choices are correct.

Question 17

The Investment Company Institute reported in its Mutual Fund Fact Book that the number of mutual funds increased from 410 in 1990 to 857 in 2000. What is the geometric mean annual percent increase in the number of funds?

Accepted Answer

A)  1.12 
B)  7.65 
C)  19.41 
D)  48.66 
E)  None of the choices are correct. 
A)  1.12 
B)  7.65 
C)  19.41 
D)  48.66 
E)  None of the choices are correct.

Question 18

Listed below is the average earnings ratio by sex for full-year, full-time workers from 1999 to 2008. (Source: Adapted from Statistics Canada-see Connect for data file.)   What were the modal earnings for men for the years 1999-2008?

Accepted Answer

A)  $43,000 
B)  $44,400 
C)  $44,500 
D)  $44,600 
E)  $44,700 
A)  $43,000 
B)  $44,400 
C)  $44,500 
D)  $44,600 
E)  $44,700

Question 19

If a major sports star were to move into your neighbourhood, what would you expect to happen to the neighbourhood's "average" income?

Accepted Answer

A)  The mean income would decrease significantly 
B)  The median income would increase significantly 
C)  The modal income would increase significantly 
D)  The mean income would increase significantly, but the median income would stay almost the same as before 
E)  The standard deviation of the neighbourhood's income would get smaller 
A)  The mean income would decrease significantly 
B)  The median income would increase significantly 
C)  The modal income would increase significantly 
D)  The mean income would increase significantly, but the median income would stay almost the same as before 
E)  The standard deviation of the neighbourhood's income would get smaller

Question 20

Listed below is the average earnings ratio by sex for full-year, full-time workers from 1999 to 2008. (Source: Adapted from Statistics Canada-see Connect for data file.)   What were the modal earnings for women for the years 1999-2008?

Accepted Answer

A)  $27,000 
B)  $27,600 
C)  $27,900 
D)  $28,320 
E)  $28,600 
A)  $27,000 
B)  $27,600 
C)  $27,900 
D)  $28,320 
E)  $28,600

A sample of the daily production of transceivers was organized into the following distribution. What is the mean daily production?

A sample of assistant professors on the business faculty at the largest college in Ontario revealed the mean annual income to be $32,000 with a standard deviation of $3,000. Using the Empirical Rule, what proportion of faculty earn more than $26,000 but less than $38,000?

Determine the age of the oldest person who died in this sample.

i. In a negatively skewed distribution, the mean is always greater than the median. ii. In a negatively skewed distribution, the median occurs at the peak of the curve. iii. In a positively skewed distribution, the mode is greater than the median.

The mean, as a measure of central tendency, would be inappropriate for which one of the following?

i. In a positively skewed distribution, the mean is always greater than the median. ii. In a negatively skewed distribution, the median occurs at the peak of the curve. iii. In a negatively skewed distribution, the mode is greater than the median.

What is a disadvantage of the range as a measure of dispersion?

Describe the shape of the age of death distribution.

The following are the weekly amounts of welfare payments made by the federal government to a sample of six families: $139, $136, $130, $136, $147 and $136. What is the range?

A study has been made of the number of hours a light bulb will operate before it burns out. If the variance of this distribution were computed, it would be measured in ________.

Which one of the following is referred to as the population mean?

What is the relationship among the mean, median and mode in a symmetric distribution?

What is the relationship between the variance and the standard deviation?

The Investment Company Institute reported in its Mutual Fund Fact Book that the number of mutual funds increased from 410 in 1990 to 857 in 2000. What is the geometric mean annual percent increase in the number of funds?

Listed below is the average earnings ratio by sex for full-year, full-time workers from 1999 to 2008. (Source: Adapted from Statistics Canada-see Connect for data file.) What were the modal earnings for men for the years 1999-2008?

If a major sports star were to move into your neighbourhood, what would you expect to happen to the neighbourhood's "average" income?

Listed below is the average earnings ratio by sex for full-year, full-time workers from 1999 to 2008. (Source: Adapted from Statistics Canada-see Connect for data file.) What were the modal earnings for women for the years 1999-2008?

What Is Statistics

Describing Data: Frequency Distributions and Graphic Presentation

A Survey of Probability Concepts

Discrete Probability Distributions

The Normal Probability Distribution

Sampling Methods and the Central Limit Theorem

Estimation and Confidence Intervals

One-Sample Tests of a Hypothesis

Two-Sample Tests of Hypothesis

Analysis of Variance

Linear Regression and Correlation

Multiple Regression and Correlation Analysis

Chi-Square Applications for Nominal Data

Index Numbers

Time Series and Forecasting

An Introduction to Decision Theory

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Exam 3: Describing Data: Numerical Measures

A sample of the daily production of transceivers was organized into the following distribution. What is the mean daily production?

A sample of assistant professors on the business faculty at the largest college in Ontario revealed the mean annual income to be $32,000 with a standard deviation of $3,000. Using the Empirical Rule, what proportion of faculty earn more than $26,000 but less than $38,000?

Determine the age of the oldest person who died in this sample.

i. In a negatively skewed distribution, the mean is always greater than the median. ii. In a negatively skewed distribution, the median occurs at the peak of the curve. iii. In a positively skewed distribution, the mode is greater than the median.

The mean, as a measure of central tendency, would be inappropriate for which one of the following?

i. In a positively skewed distribution, the mean is always greater than the median. ii. In a negatively skewed distribution, the median occurs at the peak of the curve. iii. In a negatively skewed distribution, the mode is greater than the median.

What is a disadvantage of the range as a measure of dispersion?

Describe the shape of the age of death distribution.

The following are the weekly amounts of welfare payments made by the federal government to a sample of six families: $139, $136, $130, $136, $147 and $136. What is the range?

A study has been made of the number of hours a light bulb will operate before it burns out. If the variance of this distribution were computed, it would be measured in ________.

Which one of the following is referred to as the population mean?

What is the relationship among the mean, median and mode in a symmetric distribution?

What is the relationship between the variance and the standard deviation?

The Investment Company Institute reported in its Mutual Fund Fact Book that the number of mutual funds increased from 410 in 1990 to 857 in 2000. What is the geometric mean annual percent increase in the number of funds?

Listed below is the average earnings ratio by sex for full-year, full-time workers from 1999 to 2008. (Source: Adapted from Statistics Canada-see Connect for data file.) What were the modal earnings for men for the years 1999-2008?

If a major sports star were to move into your neighbourhood, what would you expect to happen to the neighbourhood's "average" income?

Listed below is the average earnings ratio by sex for full-year, full-time workers from 1999 to 2008. (Source: Adapted from Statistics Canada-see Connect for data file.) What were the modal earnings for women for the years 1999-2008?

What Is Statistics

Describing Data: Frequency Distributions and Graphic Presentation

A Survey of Probability Concepts

Discrete Probability Distributions

The Normal Probability Distribution

Sampling Methods and the Central Limit Theorem

Estimation and Confidence Intervals

One-Sample Tests of a Hypothesis

Two-Sample Tests of Hypothesis

Analysis of Variance

Linear Regression and Correlation

Multiple Regression and Correlation Analysis

Chi-Square Applications for Nominal Data

Index Numbers

Time Series and Forecasting

An Introduction to Decision Theory

Filters