Exam 3: Describing Data: Numerical Measures
Exam 1: What Is Statistics79 Questions
Exam 2: Describing Data: Frequencydistributions and Graphic Presentation100 Questions
Exam 3: Describing Data: Numerical Measures214 Questions
Exam 4: Describing Data: Displaying and Exploring Pata138 Questions
Exam 5: A Sulvey of Probability Concepts121 Questions
Exam 6: Discrete Probability Distributions145 Questions
Exam 7: Continuous Probabilitydistributions79 Questions
Exam 8: Sampling Methods and the Central Umit Theorem134 Questions
Exam 9: Estimation and Confidence Intervals140 Questions
Exam 10: One-Sample Tests of Hypothesis111 Questions
Exam 11: Two Sample Tests of Hypothesis103 Questions
Exam 12: Analysis of Variance173 Questions
Exam 13: Linear Regression and Correlation132 Questions
Exam 14: Multiple Regression and Correlation Analysis126 Questions
Exam 15: Chi-Square Applications94 Questions
Exam 16: Decision Making and Payoff Tables in Investment Scenarios151 Questions
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(i. The mode is 21.
(ii. The arithmetic mean is 20.4.
(iii) The median is 21.
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(Multiple Choice)
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Correct Answer:
A
(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 statistic.
(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.
Free
(Multiple Choice)
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Correct Answer:
C
(i. The mode is 21.
(ii. The arithmetic mean is 20.4.
(iii) The median is 23.
Free
(Multiple Choice)
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Correct Answer:
B
The ages of newly hired, unskilled employees were grouped into the following distribution:
What is the median age?

(Multiple Choice)
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(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 mean is the most representative measure of central tendency.
(Multiple Choice)
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(i. The range for laminate flooring is 0 or none.
(ii. The range for polyester carpet is $0.04 or 4 cents.
(iii) The mean deviation for laminate flooring is 0.
(Multiple Choice)
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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.
(Multiple Choice)
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Fifteen accounting majors had an average grade of 90 on a finance exam. Seven marketing majors
Averaged 85, while ten finance majors averaged 93 on the same exam. What is the weighted mean
For the 32 students taking the exam?
(Multiple Choice)
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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 range of average earnings for men for the years 1999-2008 was
Approximately:

(Multiple Choice)
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(i. The arithmetic mean (measure of central tendency) cannot be determined if the distribution has
An open-ended class.
(ii. The measure of central tendency used to determine the average annual percent increase in
Sales from one time period to another is the arithmetic mean.
(iii) The smallest measure of central tendency in a positively skewed distribution is the mode
(Multiple Choice)
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Using the information gathered for real estate prices in Regina and surrounding areas in the early
2000's, determine the mean of the selling prices at that time. 

(Multiple Choice)
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If a major sports star were to move into your neighbourhood, what would you expect to happen to
The neighbourhood's "average" income?
(Multiple Choice)
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(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
Standard deviation of this distribution were computed, it would be measured in hours squared
(Multiple Choice)
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(i. A small manufacturing company with 52 employees has annual salaries distributed such that the
Mean is $25,459, the median is $24,798 and the mode is $24,000. An additional foreman is hired at
An annual salary of $50,700. The measure of central tendency that is most affected by the addition
Of this salary is the arithmetic mean.
(ii. In the relationship between the mean and median in a negatively skewed distribution the mean is
Less than the median.
(iii) In the relationship between the median and the mode in a positively skewed distribution, the
Median is greater than the mode.
(Multiple Choice)
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What is a disadvantage of the range as a measure of dispersion?
(Multiple Choice)
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(i. The range for laminate flooring is 0 or none.
(ii. The standard deviation for nylon carpet is 4.64 cents
(iii) The range for nylon carpet is $0.12 or 12 cents.
(Multiple Choice)
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What is a disadvantage of the range as a measure of dispersion?
(Multiple Choice)
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Which one of the following is referred to as the population mean?
(Multiple Choice)
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The annual incomes of the five vice presidents of Elly's Industries are: $41,000, $38,000, $32,000,
$33,000 and $50,000. The annual incomes of Unique, another firm similar to Elly's Industries, were
Also studied and found to have a mean of $38,900 and a standard deviation of $6,612. Which firm
Has the greater coefficient of variation?
(Multiple Choice)
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Mr. and Mrs. Jones live in a neighbourhood where the mean family income is $45,000 with a
Standard deviation of $9,000. Mr. and Mrs. Smith live in a neighbourhood where the mean is
$100,000 and the standard deviation is $30,000. What are the relative dispersions of the family
Incomes in the two neighbourhoods?
(Multiple Choice)
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