Numerical Descriptive Measures Chapter 3 Complete Test Bank

Introductory Statistics, 10e (Mann)

Chapter 3 Numerical Descriptive Measures

3.1 Measures of Center for Ungrouped Data

1) The mean of a data set is the:

A) value that divide a ranked data set in two equal halves

B) sum of all values divided by the number of values

C) difference between the maximum and minimum values

D) average of the deviations of values from the average

Diff: 1

LO: 3.1.0 Demonstrate an understanding of the measures of central tendency for ungrouped data.

Section: 3.1 Measures of Center for Ungrouped Data

Question Title: Chapter 03, Testbank Question 001

2) The median of a data set is the:

A) value that divides a ranked data set in two equal halves

B) value that occurs with maximum frequency

C) sum of all values divided by the number of values

D) average of the deviations of values from the average

Diff: 1

LO: 3.1.0 Demonstrate an understanding of the measures of central tendency for ungrouped data.

Section: 3.1 Measures of Center for Ungrouped Data

Question Title: Chapter 03, Testbank Question 002

3) You just dropped an outlier from the upper end of a data set. The value of the mean of the new data set:

A) is now more than the value of the mean of the original data set

B) is now less than the value of the mean of the original data set

C) is now equal to the value of the mean of the original data set

D) can't be determined from the given information

Diff: 1

LO: 3.1.0 Demonstrate an understanding of the measures of central tendency for ungrouped data.

Section: 3.1 Measures of Center for Ungrouped Data

Question Title: Chapter 03, Testbank Question 003

4) An outlier influences which of the following summary measures the most?

A) mean

B) median

C) mode

D) median and mode

Diff: 1

LO: 3.1.0 Demonstrate an understanding of the measures of central tendency for ungrouped data.

Section: 3.1 Measures of Center for Ungrouped Data

Question Title: Chapter 03, Testbank Question 004

5) Which of the following is the only measure that can be calculated for qualitative data?

A) mean

B) range

C) mode

D) median

Diff: 1

LO: 3.1.0 Demonstrate an understanding of the measures of central tendency for ungrouped data.

Section: 3.1 Measures of Center for Ungrouped Data

Question Title: Chapter 03, Testbank Question 005

6) If the histogram of a data set is skewed to the right with one peak, which of the following is true?

A) the values of the mean, median, and mode are the same

B) the mean is greater than the median, which is greater than the mode

C) the mean and median are equal, but the mode is different

D) the mode is greater than the median, which is greater than the mean

Diff: 1

LO: 3.1.0 Demonstrate an understanding of the measures of central tendency for ungrouped data.

Section: 3.1 Measures of Center for Ungrouped Data

Question Title: Chapter 03, Testbank Question 006

7) If a distribution is symmetric with one peak, then:

A) the values of the mean, median, and mode are identical

B) the mean is greater than the median, which is greater than the mode

C) the values of the mean and median are equal but the mode is different

D) the mode is greater than the median, which is greater than the mean

Diff: 1

LO: 3.1.0 Demonstrate an understanding of the measures of central tendency for ungrouped data.

Section: 3.1 Measures of Center for Ungrouped Data

Question Title: Chapter 03, Testbank Question 007

8) The annual salaries of six employees of a company are as follows:

The mean salary of these employees is:

Diff: 1

LO: 3.1.0 Demonstrate an understanding of the measures of central tendency for ungrouped data.

Section: 3.1 Measures of Center for Ungrouped Data

Question Title: Chapter 03, Testbank Question 008

9) The annual salaries of six employees of a company are as follows:

The median salary of these employees is:

Diff: 1

LO: 3.1.0 Demonstrate an understanding of the measures of central tendency for ungrouped data.

Section: 3.1 Measures of Center for Ungrouped Data

Question Title: Chapter 03, Testbank Question 009

10) The annual salaries of six employees of a company are as follows:

The mode of the salaries of these employees is:

Diff: 1

LO: 3.1.0 Demonstrate an understanding of the measures of central tendency for ungrouped data.

Section: 3.1 Measures of Center for Ungrouped Data

Question Title: Chapter 03, Testbank Question 010

11) The points scored by a team in five basketball games are as follows:

The mean for this data set is:

Diff: 1

LO: 3.1.0 Demonstrate an understanding of the measures of central tendency for ungrouped data.

Section: 3.1 Measures of Center for Ungrouped Data

Question Title: Chapter 03, Testbank Question 011

12) The points scored by a team in five basketball games are as follows:

The median for this data set is:

Diff: 1

LO: 3.1.0 Demonstrate an understanding of the measures of central tendency for ungrouped data.

Section: 3.1 Measures of Center for Ungrouped Data

Question Title: Chapter 03, Testbank Question 012

13) The points scored by a team in five basketball games are as follows:

The mode of this data set is:

A) 57

B) 67

C) 117

D) this data set does not have a unique mode

Diff: 1

LO: 3.1.0 Demonstrate an understanding of the measures of central tendency for ungrouped data.

Section: 3.1 Measures of Center for Ungrouped Data

Question Title: Chapter 03, Testbank Question 013

14) The mean age of five members of a family is 40 years. The ages of four of the five members are 61, 60, 27, and 23. The age of the fifth member is:

A) 32

B) 27

C) 29

D) 35

Diff: 1

LO: 3.1.0 Demonstrate an understanding of the measures of central tendency for ungrouped data.

Section: 3.1 Measures of Center for Ungrouped Data

Question Title: Chapter 03, Testbank Question 014

15) The scores of eight students taking a mathematics test are 87, 93, 76, 5, 84, 90, 95, and 70. The best measure of central tendency in this case is the:

A) median

B) mean

C) mode

D) weighted mean

Diff: 1

LO: 3.1.0 Demonstrate an understanding of the measures of central tendency for ungrouped data.

Section: 3.1 Measures of Center for Ungrouped Data

Question Title: Chapter 03, Testbank Question 015

16) The scores of 20 students on a mathematical game are 82, 81, 65, 14, 64, 15, 75, 100, 63, 59, 58, 61, 70, 99, 80, 53, 54, 62, 71 and 73. The best measure of central tendency in this case is the:

A) weighted mean

B) mean

C) mode

D) trimmed mean

Diff: 1

LO: 3.1.0 Demonstrate an understanding of the measures of central tendency for ungrouped data.

Section: 3.1 Measures of Center for Ungrouped Data

Question Title: Chapter 03, Testbank Question 016

17) The scores of 20 students on a mathematical game are 89, 83, 66, 5, 64, 55, 75, 100, 63, 59, 58, 61, 70, 74, 80, 43, 54, 62, 71 and 73. Find the 10% trimmed mean.

Diff: 2

LO: 3.1.0 Demonstrate an understanding of the measures of central tendency for ungrouped data.

Section: 3.1 Measures of Center for Ungrouped Data

Question Title: Chapter 03, Testbank Question 017

18) A serving of a nutrition bar contains fat, carbohydrates and protein. The following table lists the number of grams of each and the number of calories per gram.

Calculate the weighted mean that represents the average number of calories per gram for this nutrition bar with calories as the x variable and fat, carbohydrates, and protein as w.

Diff: 2

LO: 3.1.0 Demonstrate an understanding of the measures of central tendency for ungrouped data.

Section: 3.1 Measures of Center for Ungrouped Data

Question Title: Chapter 03, Testbank Question 018

19) The mean score of 15 male students taking a test is 72 and the mean score of 12 female students taking the same test is 73. The combined mean score of the 27 male and female students is:

A) 67.07

B) 77.81

C) 72.44

D) 75.13

Diff: 2

LO: 3.1.0 Demonstrate an understanding of the measures of central tendency for ungrouped data.

Section: 3.1 Measures of Center for Ungrouped Data

Question Title: Chapter 03, Testbank Question 019

3.2 Measures of Dispersion for Ungrouped Data

1) The summary measure obtained by taking the difference between the minimum and maximum values in a data set is called the:

A) median

B) standard deviation

C) variance

D) range

Diff: 1

LO: 3.2.0 Demonstrate an understanding of the measures of dispersion for ungrouped data.

Section: 3.2 Measures of Dispersion for Ungrouped Data

Question Title: Chapter 03, Testbank Question 020

2) Outliers influence which of the following summary measures?

A) standard deviation

B) interquartile range

C) range

D) A and B only

E) A and C only

Diff: 1

LO: 3.2.0 Demonstrate an understanding of the measures of dispersion for ungrouped data.

Section: 3.2 Measures of Dispersion for Ungrouped Data

Question Title: Chapter 03, Testbank Question 021

3) The value of the standard deviation of a data set is:

A) never zero

B) never negative

C) never positive

D) always positive

Diff: 1

LO: 3.2.0 Demonstrate an understanding of the measures of dispersion for ungrouped data.

Section: 3.2 Measures of Dispersion for Ungrouped Data

Question Title: Chapter 03, Testbank Question 022

4) The quantity x - μ is called the:

A) standard deviation

B) deviation of x from the mean

C) variance

D) range

Diff: 1

LO: 3.2.0 Demonstrate an understanding of the measures of dispersion for ungrouped data.

Section: 3.2 Measures of Dispersion for Ungrouped Data

Question Title: Chapter 03, Testbank Question 023

5) The measurement units of the standard deviation are always:

A) the same as those of the original data

B) the square of the measurement units of the original data

C) units

D) deviations

Diff: 1

LO: 3.2.0 Demonstrate an understanding of the measures of dispersion for ungrouped data.

Section: 3.2 Measures of Dispersion for Ungrouped Data

Question Title: Chapter 03, Testbank Question 024

6) The procedure for obtaining the variance from the standard deviation is to:

A) take the square root of the standard deviation

B) square the standard deviation

C) divide the standard deviation by 2

D) multiply the standard deviation by 2

Diff: 1

LO: 3.2.0 Demonstrate an understanding of the measures of dispersion for ungrouped data.

Section: 3.2 Measures of Dispersion for Ungrouped Data

Question Title: Chapter 03, Testbank Question 025

7) A numerical measure calculated for population data is called:

Diff: 1

LO: 3.2.0 Demonstrate an understanding of the measures of dispersion for ungrouped data.

Section: 3.2 Measures of Dispersion for Ungrouped Data

Question Title: Chapter 03, Testbank Question 026

8) The annual salaries of six employees of a company are as follows:

The range of these salaries is:

Diff: 1

LO: 3.2.0 Demonstrate an understanding of the measures of dispersion for ungrouped data.

Section: 3.2 Measures of Dispersion for Ungrouped Data

Question Title: Chapter 03, Testbank Question 027

9) The annual salaries of six employees of a company are as follows:

The variance of these salaries, rounded to the nearest dollar, is:

Diff: 2

LO: 3.2.0 Demonstrate an understanding of the measures of dispersion for ungrouped data.

Section: 3.2 Measures of Dispersion for Ungrouped Data

Question Title: Chapter 03, Testbank Question 028

10) The annual salaries of six employees of a company are as follows:

The standard deviation of these salaries, rounded to the nearest dollar, is:

Diff: 2

LO: 3.2.0 Demonstrate an understanding of the measures of dispersion for ungrouped data.

Section: 3.2 Measures of Dispersion for Ungrouped Data

Question Title: Chapter 03, Testbank Question 029

11) The coefficient of variation is a measure of:

A) average

B) median

C) relative variability

D) weighted mean

Diff: 2

LO: 3.2.0 Demonstrate an understanding of the measures of dispersion for ungrouped data.

Section: 3.2 Measures of Dispersion for Ungrouped Data

Question Title: Chapter 03, Testbank Question 030

12) The temperatures (in degrees Fahrenheit) observed during seven days of summer in Los Angeles are:

The range of these temperatures is:

Diff: 1

LO: 3.2.0 Demonstrate an understanding of the measures of dispersion for ungrouped data.

Section: 3.2 Measures of Dispersion for Ungrouped Data

Question Title: Chapter 03, Testbank Question 031

13) The temperatures (in degrees Fahrenheit) observed during seven days of summer in Los Angeles are:

The variance of these temperatures, rounded to three decimals, is:

Diff: 2

LO: 3.2.0 Demonstrate an understanding of the measures of dispersion for ungrouped data.

Section: 3.2 Measures of Dispersion for Ungrouped Data

Question Title: Chapter 03, Testbank Question 032

14) The temperatures (in degrees Fahrenheit) observed during seven days of summer in Los Angeles are:

The standard deviation, rounded to three decimals, of these temperatures is:

Diff: 2

LO: 3.2.0 Demonstrate an understanding of the measures of dispersion for ungrouped data.

Section: 3.2 Measures of Dispersion for Ungrouped Data

Question Title: Chapter 03, Testbank Question 033

15) The temperatures (in degrees Fahrenheit) observed during seven days of summer in Los Angeles are:

The coefficient of variation, rounded to three decimals, of these temperatures is:

Diff: 2

LO: 3.2.0 Demonstrate an understanding of the measures of dispersion for ungrouped data.

Section: 3.2 Measures of Dispersion for Ungrouped Data

Question Title: Chapter 03, Testbank Question 034

16) The times (in minutes) taken by a sample of nine students to complete a statistics test are:

The range of these times is:

Diff: 1

LO: 3.2.0 Demonstrate an understanding of the measures of dispersion for ungrouped data.

Section: 3.2 Measures of Dispersion for Ungrouped Data

Question Title: Chapter 03, Testbank Question 035

17) The times (in minutes) taken by a sample of nine students to complete a statistics test are:

The variance of these times, rounded to three decimal places, is:

Diff: 2

LO: 3.2.0 Demonstrate an understanding of the measures of dispersion for ungrouped data.

Section: 3.2 Measures of Dispersion for Ungrouped Data

Question Title: Chapter 03, Testbank Question 036

18) The times (in minutes) taken by a sample of nine students to complete a statistics test are:

The standard deviation of these times, rounded to three decimal places, is:

Diff: 2

LO: 3.2.0 Demonstrate an understanding of the measures of dispersion for ungrouped data.

Section: 3.2 Measures of Dispersion for Ungrouped Data

Question Title: Chapter 03, Testbank Question 037

19) The times (in minutes) taken by a sample of nine students to complete a statistics test are:

The coefficient of variation, rounded to three decimals, of these temperatures is:

Diff: 2

LO: 3.2.0 Demonstrate an understanding of the measures of dispersion for ungrouped data.

Section: 3.2 Measures of Dispersion for Ungrouped Data

Question Title: Chapter 03, Testbank Question 038

20) Let s1, s2, and s3 be the standard deviations of the bell-shaped graphs I, II, and III, respectively. Place them in increasing order.

A)

B)

C)

D)

Diff: 2

LO: 3.2.0 Demonstrate an understanding of the measures of dispersion for ungrouped data.

Section: 3.2 Measures of Dispersion for Ungrouped Data

Question Title: Chapter 03, Testbank Question 039

3.3 Mean, Variance, and Standard Deviation for Grouped Data

1) You have just recorded the waiting times for a random sample of 50 customers who visited Elmo's Pizza Shop. The following table gives the frequency distribution of waiting times (in minutes) for these customers.

The value of is:

Diff: 1

LO: 3.3.0 Demonstrate an understanding of the mean, variance, and standard deviation for grouped data.

Section: 3.3 Mean, Variance, and Standard Deviation for Grouped Data

Question Title: Chapter 03, Testbank Question 040

2) You have just recorded the waiting times for a random sample of 50 customers who visited Elmo's Pizza Shop. The following table gives the frequency distribution of waiting times (in minutes) for these customers.

The value of is:

Diff: 1

LO: 3.3.0 Demonstrate an understanding of the mean, variance, and standard deviation for grouped data.

Section: 3.3 Mean, Variance, and Standard Deviation for Grouped Data

Question Title: Chapter 03, Testbank Question 041

3) You have just recorded the waiting times for a random sample of 50 customers who visited Elmo's Pizza Shop. The following table gives the frequency distribution of waiting times (in minutes) for these customers.

The mean waiting time, rounded to two decimal places, is:

A) 25.72 minutes

B) 8.33 minutes

C) 30.01 minutes

D) 9.72 minutes

Diff: 2

LO: 3.3.0 Demonstrate an understanding of the mean, variance, and standard deviation for grouped data.

Section: 3.3 Mean, Variance, and Standard Deviation for Grouped Data

Question Title: Chapter 03, Testbank Question 042

4) You have just recorded the waiting times for a random sample of 50 customers who visited Elmo's Pizza Shop. The following table gives the frequency distribution of waiting times (in minutes) for these customers.

The variance of waiting times, rounded to two decimal places, is:

Diff: 2

LO: 3.3.0 Demonstrate an understanding of the mean, variance, and standard deviation for grouped data.

Section: 3.3 Mean, Variance, and Standard Deviation for Grouped Data

Question Title: Chapter 03, Testbank Question 043

5) You have just recorded the waiting times for a random sample of 50 customers who visited Elmo's Pizza Shop. The following table gives the frequency distribution of waiting times (in minutes) for these customers.

The standard deviation of waiting times, rounded to two decimal places, is:

A) 7.65 minutes

B) 7.57 minutes

C) 8.64 minutes

D) 8.55 minutes

Diff: 2

LO: 3.3.0 Demonstrate an understanding of the mean, variance, and standard deviation for grouped data.

Section: 3.3 Mean, Variance, and Standard Deviation for Grouped Data

Question Title: Chapter 03, Testbank Question 044

6) The following table gives the frequency distribution of prices for all 30 cellphone cases sold in the college bookstore.

The value of is:

Diff: 1

LO: 3.3.0 Demonstrate an understanding of the mean, variance, and standard deviation for grouped data.

Section: 3.3 Mean, Variance, and Standard Deviation for Grouped Data

Question Title: Chapter 03, Testbank Question 045

7) The following table gives the frequency distribution of prices for all 30 cellphone cases sold in the college bookstore.

The value of is:

Diff: 1

LO: 3.3.0 Demonstrate an understanding of the mean, variance, and standard deviation for grouped data.

Section: 3.3 Mean, Variance, and Standard Deviation for Grouped Data

Question Title: Chapter 03, Testbank Question 046

8) The following table gives the frequency distribution of prices for all 30 cellphone cases sold in the college bookstore.

The mean price of the cellphone cases, rounded to two decimal places, is:

Diff: 1

LO: 3.3.0 Demonstrate an understanding of the mean, variance, and standard deviation for grouped data.

Section: 3.3 Mean, Variance, and Standard Deviation for Grouped Data

Question Title: Chapter 03, Testbank Question 047

9) The following table gives the frequency distribution of prices for all 30 cellphone cases sold in the college bookstore.

The variance of the prices of the cellphone cases, rounded to two decimal places, is:

Diff: 2

LO: 3.3.0 Demonstrate an understanding of the mean, variance, and standard deviation for grouped data.

Section: 3.3 Mean, Variance, and Standard Deviation for Grouped Data

Question Title: Chapter 03, Testbank Question 048

10) The following table gives the frequency distribution of prices for all 30 cellphone cases sold in the college bookstore.

The standard deviation of the prices of the cellphone cases, rounded to two decimal places, is:

Diff: 2

LO: 3.3.0 Demonstrate an understanding of the mean, variance, and standard deviation for grouped data.

Section: 3.3 Mean, Variance, and Standard Deviation for Grouped Data

Question Title: Chapter 03, Testbank Question 049

3.4 Use of Standard Deviation

1) According to Chebyshev's theorem, the minimum percentage of values that fall within 2 standard deviations of the mean is:

A) 72%

B) 77%

C) 73%

D) 75%

Diff: 2

LO: 3.4.0 Demonstrate the use of Chebyshev's theorem and the empirical rule.

Section: 3.4 Use of Standard Deviation

Question Title: Chapter 03, Testbank Question 050

2) According to Chebyshev's theorem, the minimum percentage of values that fall within 4.4 standard deviations of the mean is:

A) 92.83%

B) 96.33%

C) 94.83%

D) 91.83%

Diff: 2

LO: 3.4.0 Demonstrate the use of Chebyshev's theorem and the empirical rule.

Section: 3.4 Use of Standard Deviation

Question Title: Chapter 03, Testbank Question 051

3) Chebyshev's theorem is applicable to:

A) any bell-shaped distribution

B) a skewed distribution

C) a multimodal distribution

D) A and B both

E) A, B and C

Diff: 1

LO: 3.4.0 Demonstrate the use of Chebyshev's theorem and the empirical rule.

Section: 3.4 Use of Standard Deviation

Question Title: Chapter 03, Testbank Question 052

4) The empirical rule is applicable to:

A) a bell-shaped distribution

B) a skewed distribution only

C) A and B only

D) None of the above

Diff: 1

LO: 3.4.0 Demonstrate the use of Chebyshev's theorem and the empirical rule.

Section: 3.4 Use of Standard Deviation

Question Title: Chapter 03, Testbank Question 053

5) According to the empirical rule, the percentage of values that fall within one standard deviation of the mean is approximately:

A) 63%

B) 72%

C) 68%

D) 59%

Diff: 1

LO: 3.4.0 Demonstrate the use of Chebyshev's theorem and the empirical rule.

Section: 3.4 Use of Standard Deviation

Question Title: Chapter 03, Testbank Question 054

6) According to the empirical rule, the percentage of values that fall within two standard deviations of the mean is approximately:

A) 93%

B) 95%

C) 94%

D) 91%

Diff: 1

LO: 3.4.0 Demonstrate the use of Chebyshev's theorem and the empirical rule.

Section: 3.4 Use of Standard Deviation

Question Title: Chapter 03, Testbank Question 055

7) According to the empirical rule, the percentage of values that fall within three standard deviations of the mean is approximately:

A) 99.4%

B) 99.7%

C) 97.9%

D) 97.3%

Diff: 1

LO: 3.4.0 Demonstrate the use of Chebyshev's theorem and the empirical rule.

Section: 3.4 Use of Standard Deviation

Question Title: Chapter 03, Testbank Question 056

8) According to the empirical rule, the percentage of values that fall outside two standard deviations of the mean is approximately:

A) 5%

B) 9%

C) 7%

D) 4%

Diff: 2

LO: 3.4.0 Demonstrate the use of Chebyshev's theorem and the empirical rule.

Section: 3.4 Use of Standard Deviation

Question Title: Chapter 03, Testbank Question 057

9) The mean age of all high school teachers in City A is 42 years and the standard deviation is 6 years. According to Chebyshev's theorem, the percentage of teachers in City A who are 24 to 60 years old is at least:

A) 88.89%

B) 77.78%

C) 84.39%

D) 90.89%

Diff: 2

LO: 3.4.0 Demonstrate the use of Chebyshev's theorem and the empirical rule.

Section: 3.4 Use of Standard Deviation

Question Title: Chapter 03, Testbank Question 058

10) The mean age of all high school teachers in New York state is 40 years and the standard deviation is 6 years. According to Chebyshev's theorem, the percentage of teachers in City B who are 22 to 58 years old is at least:

A) 88.89%

B) 77.78%

C) 84.39%

D) 90.89%

Diff: 2

LO: 3.4.0 Demonstrate the use of Chebyshev's theorem and the empirical rule.

Section: 3.4 Use of Standard Deviation

Question Title: Chapter 03, Testbank Question 059

11) The ages of all high school teachers in City C have a bell-shaped distribution with a mean of 38 years and a standard deviation of 4 years. According to the empirical rule, the percentage of teachers in City C who are 34 to 42 years old is approximately:

A) 75%

B) 68%

C) 95%

D) 62%

Diff: 1

LO: 3.4.0 Demonstrate the use of Chebyshev's theorem and the empirical rule.

Section: 3.4 Use of Standard Deviation

Question Title: Chapter 03, Testbank Question 060

12) The ages of all high school teachers in City D have a bell-shaped distribution with a mean of 46 years and a standard deviation of 8 years. According to the empirical rule, the percentage of teachers in City D who are 22 to 70 years old is approximately:

A) 99.4%

B) 97.9%

C) 98.3%

D) 99.7%

Diff: 1

LO: 3.4.0 Demonstrate the use of Chebyshev's theorem and the empirical rule.

Section: 3.4 Use of Standard Deviation

Question Title: Chapter 03, Testbank Question 061

13) The ages of all high school teachers in City E have a bell-shaped distribution with a mean of 40 years and a standard deviation of 4 years. According to the empirical rule, the percentage of teachers in City E who are 32 to 48 years old is approximately:

A) 97%

B) 94%

C) 89%

D) 95%

Diff: 1

LO: 3.4.0 Demonstrate the use of Chebyshev's theorem and the empirical rule.

Section: 3.4 Use of Standard Deviation

Question Title: Chapter 03, Testbank Question 062

14) The mean income of all MBA degree holders working in a city is $71,000 per year and the standard deviation of their incomes is $6000 per year. According to Chebyshev's theorem, the percentage of MBA degree holders, working in Los Angeles, with an annual income of $53,000 to $89,000 is at least:

A) 77.78%

B) 89,000%

C) 53,000%

D) 88.89%

Diff: 2

LO: 3.4.0 Demonstrate the use of Chebyshev's theorem and the empirical rule.

Section: 3.4 Use of Standard Deviation

Question Title: Chapter 03, Testbank Question 063

15) The mean income of all MBA degree holders working in a city is $85,000 per year and the standard deviation of their incomes is $4500 per year. According to Chebyshev's theorem, the percentage of MBA degree holders, working in Los Angeles, with an annual income of $78,250 to $91,750 is at least:

A) 55.56

B) 25.93

C) 51.06

D) 57.56

Diff: 2

LO: 3.4.0 Demonstrate the use of Chebyshev's theorem and the empirical rule.

Section: 3.4 Use of Standard Deviation

Question Title: Chapter 03, Testbank Question 064

16) The annual incomes of all MBA degree holders working in a city have a bell-shaped distribution with a mean of $72,000 and a standard deviation of $5000. According to the empirical rule, the percentage of MBA degree holders working in this city who have an annual income of $67,000 to $77,000 is approximately:

A) 86%

B) 68%

C) 64%

D) 89%

Diff: 1

LO: 3.4.0 Demonstrate the use of Chebyshev's theorem and the empirical rule.

Section: 3.4 Use of Standard Deviation

Question Title: Chapter 03, Testbank Question 065

17) The annual incomes of all MBA degree holders working in a city have a bell-shaped distribution with a mean of $66,000 and a standard deviation of $4000. According to the empirical rule, the percentage of MBA degree holders working in this city who have an annual income of $54,000 to $78,000 is approximately:

A) 97.9%

B) 99.4%

C) 94.9%

D) 99.7%

Diff: 1

LO: 3.4.0 Demonstrate the use of Chebyshev's theorem and the empirical rule.

Section: 3.4 Use of Standard Deviation

Question Title: Chapter 03, Testbank Question 066

18) The annual incomes of all MBA degree holders working in a city have a bell-shaped distribution with a mean of $70,000 and a standard deviation of $10,000. According to the empirical rule, the percentage of MBA degree holders working in this city who have an annual income of $50,000 to $90,000 is approximately:

A) 75%

B) 95%

C) 88%

D) 97%

Diff: 1

LO: 3.4.0 Demonstrate the use of Chebyshev's theorem and the empirical rule.

Section: 3.4 Use of Standard Deviation

Question Title: Chapter 03, Testbank Question 067

3.5 Measures of Position

1) The quartiles divide a ranked data set into:

A) 2 equal parts

B) 4 equal parts

C) 100 equal parts

D) 10 equal parts

Diff: 1

LO: 3.5.0 Demonstrate an understanding of the measures of position.

Section: 3.5 Measures of Position

Question Title: Chapter 03, Testbank Question 068

2) The value of the third quartile for a data set is 65. This means that:

A) 25% of the values in that data set are smaller than 65

B) 75% of the values in that data set are smaller than 65

C) 75% of the values in that data set are greater than 65

D) 50% of the values in that data set are greater than 65

Diff: 1

LO: 3.5.0 Demonstrate an understanding of the measures of position.

Section: 3.5 Measures of Position

Question Title: Chapter 03, Testbank Question 069

3) The value of the 45th percentile for a data set is 52. This means that:

A) 55% of the values in that data set are smaller than 52

B) 45% of the values in that data set are greater than 52

C) 45% of the values in that data set are smaller than 52

D) 52% of the values in that data set are greater than 52

Diff: 1

LO: 3.5.0 Demonstrate an understanding of the measures of position.

Section: 3.5 Measures of Position

Question Title: Chapter 03, Testbank Question 070

4) The percentile rank of a value in a data set is 58. This means that:

A) 58% of the values in that data set are greater than that value

B) 58% of the values in that data set are greater than 58

C) 42% of the values in that data set are smaller than that value

D) 58% of the values in that data set are smaller than that value

Diff: 1

LO: 3.5.0 Demonstrate an understanding of the measures of position.

Section: 3.5 Measures of Position

Question Title: Chapter 03, Testbank Question 071

5) The waiting times (in minutes) for 11 customers at a supermarket are:

The first quartile for these data is:

Diff: 1

LO: 3.5.0 Demonstrate an understanding of the measures of position.

Section: 3.5 Measures of Position

Question Title: Chapter 03, Testbank Question 072

6) The waiting times (in minutes) for 11 customers at a supermarket are:

The second quartile for these data is:

Diff: 1

LO: 3.5.0 Demonstrate an understanding of the measures of position.

Section: 3.5 Measures of Position

Question Title: Chapter 03, Testbank Question 073

7) The waiting times (in minutes) for 11 customers at a supermarket are:

The third quartile for these data is:

Diff: 1

LO: 3.5.0 Demonstrate an understanding of the measures of position.

Section: 3.5 Measures of Position

Question Title: Chapter 03, Testbank Question 074

8) The waiting times (in minutes) for 11 customers at a supermarket are:

The approximate value of the 60th percentile for these data is:

Diff: 1

LO: 3.5.0 Demonstrate an understanding of the measures of position.

Section: 3.5 Measures of Position

Question Title: Chapter 03, Testbank Question 075

9) The waiting times (in minutes) for 11 customers at a supermarket are:

The percentile rank for the customer who waited 11 minutes is:

A) 80.00%

B) 72.72%

C) 68.33%

D) 63.64%

Diff: 1

LO: 3.5.0 Demonstrate an understanding of the measures of position.

Section: 3.5 Measures of Position

Question Title: Chapter 03, Testbank Question 076

10) The work experiences (in years) of 14 employees of a company are:

The first quartile for these data is:

Diff: 1

LO: 3.5.0 Demonstrate an understanding of the measures of position.

Section: 3.5 Measures of Position

Question Title: Chapter 03, Testbank Question 077

11) The work experiences (in years) of 14 employees of a company are:

The second quartile for these data is:

Diff: 1

LO: 3.5.0 Demonstrate an understanding of the measures of position.

Section: 3.5 Measures of Position

Question Title: Chapter 03, Testbank Question 078

12) The work experiences (in years) of 14 employees of a company are:

The third quartile for these data is:

Diff: 1

LO: 3.5.0 Demonstrate an understanding of the measures of position.

Section: 3.5 Measures of Position

Question Title: Chapter 03, Testbank Question 079

13) The work experiences (in years) of 14 employees of a company are:

The approximate value of the 70th percentile for these data is:

Diff: 1

LO: 3.5.0 Demonstrate an understanding of the measures of position.

Section: 3.5 Measures of Position

Question Title: Chapter 03, Testbank Question 080

14) The work experiences (in years) of 14 employees of a company are:

The percentile rank for the employee with 17 years of experience is:

A) 62.96%

B) 78.57%

C) 68.00%

D) 85.71%

Diff: 1

LO: 3.5.0 Demonstrate an understanding of the measures of position.

Section: 3.5 Measures of Position

Question Title: Chapter 03, Testbank Question 081

3.6 Box-and-Whisker Plot

1) Which of the following is something a box-and-whisker plot does not show?

A) spread of the data

B) percent of the data within two standard deviations of the mean

C) center of the data set

D) skewness of the data set

Diff: 1

LO: 3.6.0 Demonstrate an understanding of box-and-whisker plot.

Section: 3.6 Box-and-Whisker Plot

Question Title: Chapter 03, Testbank Question 082

2) Data concerning the time between failures (in hours of operation) for a computer printer have been recorded, and the first quartile equals 42 hours, the second quartile equals 54 hours, and the third quartile equals 86 hours. The value for the lower inner fence equals:

Diff: 1

LO: 3.6.0 Demonstrate an understanding of box-and-whisker plot.

Section: 3.6 Box-and-Whisker Plot

Question Title: Chapter 03, Testbank Question 083

3) Data concerning the time between failures (in hours of operation) for a computer printer have been recorded, and the first quartile equals 34 hours, the second quartile equals 60 hours, and the third quartile equals 76 hours. The value for the upper inner fence equals:

Diff: 1

LO: 3.6.0 Demonstrate an understanding of box-and-whisker plot.

Section: 3.6 Box-and-Whisker Plot

Question Title: Chapter 03, Testbank Question 084

4) The following data represent the ages of 15 people buying lift tickets at a ski area.

What is the mean of these data, rounded to two decimal places?

Diff: 1

LO: 3.6.0 Demonstrate an understanding of box-and-whisker plot.

Section: 3.6 Box-and-Whisker Plot

Question Title: Chapter 03, Testbank Question 085

5) The following data represent the ages of 15 people buying lift tickets at a ski area.

What is the median of these data?

Diff: 1

LO: 3.6.0 Demonstrate an understanding of box-and-whisker plot.

Section: 3.6 Box-and-Whisker Plot

Question Title: Chapter 03, Testbank Question 086

6) The following data represent the ages of 15 people buying lift tickets at a ski area.

What is the range of these data?

Diff: 1

LO: 3.6.0 Demonstrate an understanding of box-and-whisker plot.

Section: 3.6 Box-and-Whisker Plot

Question Title: Chapter 03, Testbank Question 087

7) The following data represent the ages of 15 people buying lift tickets at a ski area.

What is the variance of these data, rounded to two decimal places?

Diff: 2

LO: 3.6.0 Demonstrate an understanding of box-and-whisker plot.

Section: 3.6 Box-and-Whisker Plot

Question Title: Chapter 03, Testbank Question 088

8) The following data represent the ages of 15 people buying lift tickets at a ski area.

What is the standard deviation of these data, rounded to two decimal places?

Diff: 2

LO: 3.6.0 Demonstrate an understanding of box-and-whisker plot.

Section: 3.6 Box-and-Whisker Plot

Question Title: Chapter 03, Testbank Question 089

9) The following data represent the ages of 15 people buying lift tickets at a ski area.

What is the value of the first quartile?

Diff: 1

LO: 3.6.0 Demonstrate an understanding of box-and-whisker plot.

Section: 3.6 Box-and-Whisker Plot

Question Title: Chapter 03, Testbank Question 090

10) The following data represent the ages of 15 people buying lift tickets at a ski area.

What is the value of the third quartile?

Diff: 1

LO: 3.6.0 Demonstrate an understanding of box-and-whisker plot.

Section: 3.6 Box-and-Whisker Plot

Question Title: Chapter 03, Testbank Question 091

11) The following data represent the ages of 15 people buying lift tickets at a ski area.

What is the value of the interquartile range?

Diff: 1

LO: 3.6.0 Demonstrate an understanding of box-and-whisker plot.

Section: 3.6 Box-and-Whisker Plot

Question Title: Chapter 03, Testbank Question 092

12) The following data represent the ages of 15 people buying lift tickets at a ski area.

What is the value of the lower inner fence?

Diff: 1

LO: 3.6.0 Demonstrate an understanding of box-and-whisker plot.

Section: 3.6 Box-and-Whisker Plot

Question Title: Chapter 03, Testbank Question 093

13) The following data represent the ages of 15 people buying lift tickets at a ski area.

What is the value of the upper inner fence?

Diff: 1

LO: 3.6.0 Demonstrate an understanding of box-and-whisker plot.

Section: 3.6 Box-and-Whisker Plot

Question Title: Chapter 03, Testbank Question 094

14) The following data represent the ages of 15 people buying lift tickets at a ski area.

Are there any outliers in this data set? If so, what are they?

A) yes: 78

B) yes: 15

C) yes: 15 and 78

D) no

Diff: 1

LO: 3.6.0 Demonstrate an understanding of box-and-whisker plot.

Section: 3.6 Box-and-Whisker Plot

Question Title: Chapter 03, Testbank Question 095

15) Based on the box-and-whisker plot,

complete the table.

Diff: 1

LO: 3.6.0 Demonstrate an understanding of box-and-whisker plot.

Section: 3.6 Box-and-Whisker Plot

Question Title: Chapter 03, Testbank Question 096

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