Question 1

The printout below is a summary of the average annual earnings of male full time workers in
Canada from 1999-2008. Determine the coeﬃcient of variation.

Accepted Answer

A)  1.0% 
B)  2.5% 
C)  3% 
D)  3.8% 
E)  4.25% 
A)  1.0% 
B)  2.5% 
C)  3% 
D)  3.8% 
E)  4.25%

Question 2

(i. If a distribution is highly skewed, the mean (measure of central tendency) should be avoided.
(ii. A characteristic of the population is called a parameter
(iii) A sample revealed that the ages of musicians playing in small local combos are 36, 29, 37, 32,
36 and 75. The median is the most appropriate measure of central tendency to represent the ages
Of the musicians.

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)  (ii) and (iii) are correct statements, but not (i). 
E)  (i), (ii) and (iii) are all false statements. 
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)  (ii) and (iii) are correct statements, but not (i). 
E)  (i), (ii) and (iii) are all false statements.

Question 3

(i. The range for laminate ﬂooring is 0 or none.
(ii. The variance for laminate ﬂooring is 0.
(iii) The range for nylon carpet is $0.12 or 12 cents.

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)  (ii) and (iii) are correct statements, but not (i). 
E)  (i), (ii) and (iii) are all false statements. 
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)  (ii) and (iii) are correct statements, but not (i). 
E)  (i), (ii) and (iii) are all false statements.

Question 4

i. If there is an even number of ungrouped values, then half of the values will be less than the
Median.
ii. Extremely high or low scores affect the value of the median.
iii. There are always as many values above the mean as below it.

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)  (i), (ii) and (iii) are all false statements. 
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)  (i), (ii) and (iii) are all false statements.

Question 5

Listed below is the box plot of average earnings ratio for full-year, full-time female workers from
1999 to 2008:  
From this we can interpret that the third quartile of average earnings for women for the years 1999-
2008 was approximately:

Accepted Answer

A)  $27,600 
B)  $27,900 
C)  $28,500 
D)  $28,900 
E)  $30,200 
A)  $27,600 
B)  $27,900 
C)  $28,500 
D)  $28,900 
E)  $30,200

Question 6

i. The sum of the deviations from the mean for the set of numbers 4, 9 and 5 will equal zero.
ii. If there is an even number of ungrouped values, the median is found by arranging them from low
To high and then determining the arithmetic mean of the two middle values.
iii. For salaries of $102,000, $98,000, $35,000, $106,000 and $101,000, the median would be an
Appropriate average.

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)  (ii) and, (iii) are correct statements but not (i). 
E)  (i), (ii) and (iii) are all false statements. 
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)  (ii) and, (iii) are correct statements but not (i). 
E)  (i), (ii) and (iii) are all false statements.

Question 7

(i. If two sets of data are in different units, we can compare the dispersion by using coeﬃcient of
Variation.
(ii. A sample of the homes currently offered for sale revealed that the mean asking price is $75,900,
The median $70,100 and the modal price is $67,200. The standard deviation of the distribution is
$5,900. The Pearson's coeﬃcient of skewness is 2.95
(iii) The coeﬃcient of variation is a measure of central tendency.

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)  (ii) and (iii) are correct statements, but not (i). 
E)  (i), (ii) and (iii) are all false statements. 
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)  (ii) and (iii) are correct statements, but not (i). 
E)  (i), (ii) and (iii) are all false statements.

Question 8

What statistics are needed to draw a box plot?

Accepted Answer

A)  Minimum, maximum, median, ﬁrst and third quartiles 
B)  Median, mean and standard deviation 
C)  A mean and dispersion 
D)  A mean and a standard deviation 
E)  Q1, Q2 and Q3 
A)  Minimum, maximum, median, ﬁrst and third quartiles 
B)  Median, mean and standard deviation 
C)  A mean and dispersion 
D)  A mean and a standard deviation 
E)  Q1, Q2 and Q3

Question 9

In the calculation of the arithmetic mean for grouped data, which value is used to represent all the
Values in a particular class?

Accepted Answer

A)  The upper limit of the class 
B)  The lower limit of the class 
C)  The frequency of the class 
D)  The cumulative frequency preceding the class 
E)  The midpoint of the class 
A)  The upper limit of the class 
B)  The lower limit of the class 
C)  The frequency of the class 
D)  The cumulative frequency preceding the class 
E)  The midpoint of the class

Question 10

i. In a positively skewed distribution, the mean is always greater than the median.
ii. In a negatively skewed distribution, the mode 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)  (i), (ii) and (iii) are all false statements. 
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)  (i), (ii) and (iii) are all false statements.

Question 11

(i. The median for the distribution of number of sales per hour is 5 sales per hour.
(ii. The ﬁrst quartile for the distribution of number of sales per hour is 4 sales per hour.
(iii) For the distribution of number of sales per hour, 50% of the observations are between 4 and 6.5.

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)  (ii) and (iii) are correct statements, but not (i). 
E)  (i), (ii) and (iii) are all false statements. 
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)  (ii) and (iii) are correct statements, but not (i). 
E)  (i), (ii) and (iii) are all false statements.

Question 12

(i. The median for the distribution of number of sales per hour is 5 sales per hour.
(ii. The ﬁrst quartile for the distribution of number of sales per hour is 4 sales per hour.
(iii) For the distribution of number of sales per hour, 50% of the observations are between 3 and 7.5.

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)  (ii) and (iii) are correct statements, but not (i). 
E)  (i), (ii) and (iii) are all false statements. 
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)  (ii) and (iii) are correct statements, but not (i). 
E)  (i), (ii) and (iii) are all false statements.

Question 13

The sum of the differences between sample observations and the sample mean is

Accepted Answer

A)  Zero 
B)  The mean deviation 
C)  The range 
D)  The standard deviation 
E)  The mean 
A)  Zero 
B)  The mean deviation 
C)  The range 
D)  The standard deviation 
E)  The mean

Question 14

i. The mode is the value of the observation that appears most frequently.
ii. A distribution that has the same shape on either side of the center is said to be symmetrical.
iii. Negatively skewed indicates that a distribution is not symmetrical. The long tail is to the left or in
The negative direction.

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)  (ii) and, (iii) are correct statements but not (i). 
E)  (i), (ii) and (iii) are all false statements. 
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)  (ii) and, (iii) are correct statements but not (i). 
E)  (i), (ii) and (iii) are all false statements.

Question 15

(i. The research director of a large oil company conducted a study of the buying habits of
Consumers with respect to the amount of gasoline purchased at full-service pumps. The arithmetic
Mean amount is 11.5 gallons and the median amount is 11.95 litres. The standard deviation of the
Sample is 4.5 litres. The Pearson's coeﬃcient of skewness can be calculated to be -0.30.
(ii. Rainbow Trout, Inc., feeds ﬁngerling trout in special ponds and markets them when they attain a
Certain weight. A group of 9 trout (considered the population) were isolated in a pond and fed a
Special food mixture called Grow Em Fast. At the end of the experimental period, the weights of the
Trout were (in grams): 124, 125, 123, 120, 124, 127, 125, 126 and 121. Another special mixture, Fatso 1B,
Was used in another pond. The mean of the population was computed to be 126.9 grams and the
Standard deviation was 1.20 grams. When these data are analysed, we discover that the food
Resulting in a more uniform weight is Fatso 1B.
(iii) 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 hours squared

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)  (ii) and (iii) are correct statements, but not (i). 
E)  (i), (ii) and (iii) are all false statements. 
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)  (ii) and (iii) are correct statements, but not (i). 
E)  (i), (ii) and (iii) are all false statements.

Question 16

The following printout is a summary of number of bedrooms in homes for sale in Regina:   What can we determine from this printout?

Accepted Answer

A)  The mean number of bedrooms is more than both the median and modal number. 
B)  Most of the houses have 4 bedrooms. 
C)  The modal number of bedrooms is affected by a few houses that must have a large number of bedrooms. 
D)  More than half of the houses have less than 3 bedrooms. 
A)  The mean number of bedrooms is more than both the median and modal number. 
B)  Most of the houses have 4 bedrooms. 
C)  The modal number of bedrooms is affected by a few houses that must have a large number of bedrooms. 
D)  More than half of the houses have less than 3 bedrooms.

Question 17

A study of business faculty in Ontario revealed that the arithmetic mean annual salary is $62,000
And a standard deviation of $3,000. The study also showed that the faculty had been employed an
Average (arithmetic mean) of 15 years with a standard deviation of 4 years. How does the relative
Dispersion in the distribution of salaries compare with that of the lengths of service?

Accepted Answer

A)  Salaries about 100%, service about 50% 
B)  Salaries about 5%, service about 27% 
C)  Salaries about 42%, service about 81% 
D)  Salaries about 2%, service about 6% 
A)  Salaries about 100%, service about 50% 
B)  Salaries about 5%, service about 27% 
C)  Salaries about 42%, service about 81% 
D)  Salaries about 2%, service about 6%

Question 18

(i. If a distribution is highly skewed, the median (measure of central tendency) should be avoided.
(ii. A characteristic of the population is called a parameter
(iii) A sample revealed that the ages of musicians playing in small local combos are 36, 29, 37, 32,
36 and 75. The median is the most appropriate measure of central tendency to represent the ages
Of the musicians.

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)  (ii) and (iii) are correct statements, but not (i). 
E)  (i), (ii) and (iii) are all false statements. 
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)  (ii) and (iii) are correct statements, but not (i). 
E)  (i), (ii) and (iii) are all false statements.

Question 19

(i. The range for laminate ﬂooring is 0 or none.
(ii. The variance for laminate ﬂooring is 1.
(iii) The range for nylon carpet is $0.12 or 12 cents.

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)  (ii) and (iii) are correct statements, but not (i). 
E)  (i), (ii) and (iii) are all false statements. 
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)  (ii) and (iii) are correct statements, but not (i). 
E)  (i), (ii) and (iii) are all false statements.

Question 20

The mean, as a measure of central location 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 
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

The printout below is a summary of the average annual earnings of male full time workers in Canada from 1999-2008. Determine the coeﬃcient of variation.

(i. The range for laminate ﬂooring is 0 or none. (ii. The variance for laminate ﬂooring is 0. (iii) The range for nylon carpet is $0.12 or 12 cents.

i. If there is an even number of ungrouped values, then half of the values will be less than the Median. ii. Extremely high or low scores affect the value of the median. iii. There are always as many values above the mean as below it.

Listed below is the box plot of average earnings ratio for full-year, full-time female workers from 1999 to 2008: From this we can interpret that the third quartile of average earnings for women for the years 1999- 2008 was approximately:

What statistics are needed to draw a box plot?

In the calculation of the arithmetic mean for grouped data, which value is used to represent all the Values in a particular class?

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

(i. The median for the distribution of number of sales per hour is 5 sales per hour. (ii. The ﬁrst quartile for the distribution of number of sales per hour is 4 sales per hour. (iii) For the distribution of number of sales per hour, 50% of the observations are between 4 and 6.5.

(i. The median for the distribution of number of sales per hour is 5 sales per hour. (ii. The ﬁrst quartile for the distribution of number of sales per hour is 4 sales per hour. (iii) For the distribution of number of sales per hour, 50% of the observations are between 3 and 7.5.

The sum of the differences between sample observations and the sample mean is

The following printout is a summary of number of bedrooms in homes for sale in Regina: What can we determine from this printout?

(i. The range for laminate ﬂooring is 0 or none. (ii. The variance for laminate ﬂooring is 1. (iii) The range for nylon carpet is $0.12 or 12 cents.

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

What Is Statistics

Describing Data: Frequencydistributions and Graphic Presentation

Describing Data: Displaying and Exploring Pata

A Sulvey of Probability Concepts

Discrete Probability Distributions

Continuous Probabilitydistributions

Sampling Methods and the Central Umit Theorem

Estimation and Confidence Intervals

One-Sample Tests of Hypothesis

Two Sample Tests of Hypothesis

Analysis of Variance

Linear Regression and Correlation

Multiple Regression and Correlation Analysis

Chi-Square Applications

Decision Making and Payoff Tables in Investment Scenarios

Filters

Exam 3: Describing Data: Numerical Measures

The printout below is a summary of the average annual earnings of male full time workers in Canada from 1999-2008. Determine the coeﬃcient of variation.

(i. The range for laminate ﬂooring is 0 or none. (ii. The variance for laminate ﬂooring is 0. (iii) The range for nylon carpet is $0.12 or 12 cents.

i. If there is an even number of ungrouped values, then half of the values will be less than the Median. ii. Extremely high or low scores affect the value of the median. iii. There are always as many values above the mean as below it.

Listed below is the box plot of average earnings ratio for full-year, full-time female workers from 1999 to 2008: From this we can interpret that the third quartile of average earnings for women for the years 1999- 2008 was approximately:

What statistics are needed to draw a box plot?

In the calculation of the arithmetic mean for grouped data, which value is used to represent all the Values in a particular class?

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

(i. The median for the distribution of number of sales per hour is 5 sales per hour. (ii. The ﬁrst quartile for the distribution of number of sales per hour is 4 sales per hour. (iii) For the distribution of number of sales per hour, 50% of the observations are between 4 and 6.5.

(i. The median for the distribution of number of sales per hour is 5 sales per hour. (ii. The ﬁrst quartile for the distribution of number of sales per hour is 4 sales per hour. (iii) For the distribution of number of sales per hour, 50% of the observations are between 3 and 7.5.

The sum of the differences between sample observations and the sample mean is

The following printout is a summary of number of bedrooms in homes for sale in Regina: What can we determine from this printout?

(i. The range for laminate ﬂooring is 0 or none. (ii. The variance for laminate ﬂooring is 1. (iii) The range for nylon carpet is $0.12 or 12 cents.

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

What Is Statistics

Describing Data: Frequencydistributions and Graphic Presentation

Describing Data: Displaying and Exploring Pata

A Sulvey of Probability Concepts

Discrete Probability Distributions

Continuous Probabilitydistributions

Sampling Methods and the Central Umit Theorem

Estimation and Confidence Intervals

One-Sample Tests of Hypothesis

Two Sample Tests of Hypothesis

Analysis of Variance

Linear Regression and Correlation

Multiple Regression and Correlation Analysis

Chi-Square Applications

Decision Making and Payoff Tables in Investment Scenarios

Filters