Question 1

The following printout is a summary of housing prices in Edmonton:   What can we determine from this printout?

Accepted Answer

A)  The mean list price is less than both the median and modal prices 
B)  The median list price is the most representative as it is larger than the modal price and smaller than the mean price. 
C)  The modal price is affected by a few houses that must be priced very high 
D)  More than half of the houses are listed above $425,000. 
A)  The mean list price is less than both the median and modal prices 
B)  The median list price is the most representative as it is larger than the modal price and smaller than the mean price. 
C)  The modal price is affected by a few houses that must be priced very high 
D)  More than half of the houses are listed above $425,000.

Question 2

Below is a summary of the size of homes for sale in Regina in 2005.
The Empirical Rule would suggest that the middle 95% of the home sizes are between what two
Approximate values?

Accepted Answer

A)  1,000 to 2,000 sq. ft. 
B)  892 to 2,534 sq ft. 
C)  71 to 3,355 sq ft. 
D)  0 to 4,176 sq ft. 
A)  1,000 to 2,000 sq. ft. 
B)  892 to 2,534 sq ft. 
C)  71 to 3,355 sq ft. 
D)  0 to 4,176 sq ft.

Question 3

Which of the following measures of dispersion are based on deviations from the mean?

Accepted Answer

A)  Variance 
B)  Standard deviation 
C)  Mean deviation 
D)  Mean deviation, standard deviation, and variance 
A)  Variance 
B)  Standard deviation 
C)  Mean deviation 
D)  Mean deviation, standard deviation, and variance

Question 4

Ten experts rated a newly developed chocolate chip cookie on a scale of 1 to 50. Their ratings
Were: 34, 35, 41, 28, 26, 29, 32, 36, 38 and 40. What is the mean deviation?

Accepted Answer

A)  8.00 
B)  4.12 
C)  12.67 
D)  0.75 
A)  8.00 
B)  4.12 
C)  12.67 
D)  0.75

Question 5

(i. Correct to two decimal places, the sample standard deviation is approximately 52.98.
(ii. Correct to two decimal places, the sample variance is approximately 675.25.
(iii) The range is approximately 125.

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 6

What is the value of the Pearson coeﬃcient of skewness for a distribution with a mean of 17, median
Of 12 and standard deviation of 6?

Accepted Answer

A)  + 2.5 
B)  - 2.5 
C)  + 0.83 
D)  - 0.83 
A)  + 2.5 
B)  - 2.5 
C)  + 0.83 
D)  - 0.83

Question 7

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

Accepted Answer

A)  $44,000 
B)  $44,400 
C)  $44,800 
D)  $45,600 
E)  $46,900 
A)  $44,000 
B)  $44,400 
C)  $44,800 
D)  $45,600 
E)  $46,900

Question 8

i. An outlier is a value in a data set that is inconsistent with the rest of the data.
ii. The interquartile range is the difference between the values of the ﬁrst and third quartile,
Indicating the range of the middle ﬁfty percent of the observations.
iii. A percentile divides a distribution into one hundred equal parts.

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 9

Which measures of central tendency are not affected by extremely low or extremely high values?

Accepted Answer

A)  Mean and median 
B)  Mean and mode 
C)  Mode and median 
D)  Geometric mean and mean 
E)  Mean only 
A)  Mean and median 
B)  Mean and mode 
C)  Mode and median 
D)  Geometric mean and mean 
E)  Mean only

Question 10

The Empirical Rule states that:
(i. about 68% of the observation will lie within one standard deviation of the mean;
ii. about 95% of the observations will lie within two standard deviations of the mean;
iii. and virtually all (99.7%) will lie within three standard deviations of the mean.

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 11

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

Question 12

(i. The mean is the measure of central tendency that uses all of the observations in its calculation.
(ii. The mode is the class with the largest number of observations.
(iii) If a set of observations contains an extreme value and none of the observations repeat
Themselves, the median is the most representative 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 13

(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 relative dispersion.

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 14

The number of work stoppages in a highly industrialized region for selected months are: 6, 0, 10, 14,
8 and 0. What is the median number of stoppages?

Accepted Answer

A)  0 
B)  6 
C)  7 
D)  8 
A)  0 
B)  6 
C)  7 
D)  8

Question 15

(i. The standard deviation for laminate ﬂooring is 0.
(ii. The standard deviation for polyester carpet is $1.88.
(iii) The range for polyester carpet is $1.04.

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 ages of all the patients in the isolation ward of the hospital are 38, 26, 13, 41 and 22. What is the
Population variance?

Accepted Answer

A)  106.8 
B)  91.4 
C)  240.3 
D)  42.4 
A)  106.8 
B)  91.4 
C)  240.3 
D)  42.4

Question 17

The number of students at a local university increased from 2,500 students 5000 students in 10
Years. Based on a geometric mean, the university grew at an average percentage rate of

Accepted Answer

A)  2,500 students per year 
B)  1.071 students per year 
C)  7.1 percent per year 
D)  250 students per year 
E)  Cannot be determined 
A)  2,500 students per year 
B)  1.071 students per year 
C)  7.1 percent per year 
D)  250 students per year 
E)  Cannot be determined

Question 18

(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 +0.20.
(ii. The Pearson's coeﬃcient of skewness (Sk) measures the amount of skewness and may range
From -3.0 to +3.0. It is computed by subtracting the median from the mean, multiplying the result by
3 and dividing by standard deviation.
(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 19

(i. The range for laminate ﬂooring is 1.
(ii. The standard deviation for nylon carpet is 4.64 cents
(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

For which measure of central tendency will the sum of the deviations of each value from that
Average always be zero?

Accepted Answer

A)  Mode 
B)  Mean 
C)  Median 
D)  Geometric mean 
E)  The sum of the deviations of each value from that average will always be zero for all measures of central tendency. 
A)  Mode 
B)  Mean 
C)  Median 
D)  Geometric mean 
E)  The sum of the deviations of each value from that average will always be zero for all measures of central tendency.

The following printout is a summary of housing prices in Edmonton: What can we determine from this printout?

Below is a summary of the size of homes for sale in Regina in 2005. The Empirical Rule would suggest that the middle 95% of the home sizes are between what two Approximate values?

Which of the following measures of dispersion are based on deviations from the mean?

Ten experts rated a newly developed chocolate chip cookie on a scale of 1 to 50. Their ratings Were: 34, 35, 41, 28, 26, 29, 32, 36, 38 and 40. What is the mean deviation?

(i. Correct to two decimal places, the sample standard deviation is approximately 52.98. (ii. Correct to two decimal places, the sample variance is approximately 675.25. (iii) The range is approximately 125.

What is the value of the Pearson coeﬃcient of skewness for a distribution with a mean of 17, median Of 12 and standard deviation of 6?

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

Which measures of central tendency are not affected by extremely low or extremely high values?

The Empirical Rule states that: (i. about 68% of the observation will lie within one standard deviation of the mean; ii. about 95% of the observations will lie within two standard deviations of the mean; iii. and virtually all (99.7%) will lie within three standard deviations of the mean.

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?

The number of work stoppages in a highly industrialized region for selected months are: 6, 0, 10, 14, 8 and 0. What is the median number of stoppages?

(i. The standard deviation for laminate ﬂooring is 0. (ii. The standard deviation for polyester carpet is $1.88. (iii) The range for polyester carpet is $1.04.

The ages of all the patients in the isolation ward of the hospital are 38, 26, 13, 41 and 22. What is the Population variance?

The number of students at a local university increased from 2,500 students 5000 students in 10 Years. Based on a geometric mean, the university grew at an average percentage rate of

(i. The range for laminate ﬂooring is 1. (ii. The standard deviation for nylon carpet is 4.64 cents (iii) The range for nylon carpet is $0.12 or 12 cents.

For which measure of central tendency will the sum of the deviations of each value from that Average always be zero?

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 following printout is a summary of housing prices in Edmonton: What can we determine from this printout?

Below is a summary of the size of homes for sale in Regina in 2005. The Empirical Rule would suggest that the middle 95% of the home sizes are between what two Approximate values?

Which of the following measures of dispersion are based on deviations from the mean?

Ten experts rated a newly developed chocolate chip cookie on a scale of 1 to 50. Their ratings Were: 34, 35, 41, 28, 26, 29, 32, 36, 38 and 40. What is the mean deviation?

(i. Correct to two decimal places, the sample standard deviation is approximately 52.98. (ii. Correct to two decimal places, the sample variance is approximately 675.25. (iii) The range is approximately 125.

What is the value of the Pearson coeﬃcient of skewness for a distribution with a mean of 17, median Of 12 and standard deviation of 6?

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

Which measures of central tendency are not affected by extremely low or extremely high values?

The Empirical Rule states that: (i. about 68% of the observation will lie within one standard deviation of the mean; ii. about 95% of the observations will lie within two standard deviations of the mean; iii. and virtually all (99.7%) will lie within three standard deviations of the mean.

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?

The number of work stoppages in a highly industrialized region for selected months are: 6, 0, 10, 14, 8 and 0. What is the median number of stoppages?

(i. The standard deviation for laminate ﬂooring is 0. (ii. The standard deviation for polyester carpet is $1.88. (iii) The range for polyester carpet is $1.04.

The ages of all the patients in the isolation ward of the hospital are 38, 26, 13, 41 and 22. What is the Population variance?

The number of students at a local university increased from 2,500 students 5000 students in 10 Years. Based on a geometric mean, the university grew at an average percentage rate of

(i. The range for laminate ﬂooring is 1. (ii. The standard deviation for nylon carpet is 4.64 cents (iii) The range for nylon carpet is $0.12 or 12 cents.

For which measure of central tendency will the sum of the deviations of each value from that Average always be zero?

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