The following appear on a physician's intake form. Identify the level of measurement of the data.

(a)	Painlevel(scaleof0to10)		(b)	Allergies
(c)	Yearofbirth		(d)	Weight

(a) What is the level of measurement for

"Painlevel(scaleof0to10)"?

Nominal

Interval

Ordinal

Ratio

(b) What is the level of measurement for

"Allergies"?

Ordinal

Nominal

Ratio

Interval

(c) What is the level of measurement for

"Yearofbirth"?

Nominal

Ordinal

Interval

Ratio

(d) What is the level of measurement for

"Weight"?

Ordinal

Interval

Ratio

Nominal

2-The region ofacountrywiththehighestpercapitaincome forthepastsixyearsis shown below.

Southeast

Northwest

Southeast

Southeast

Southeast

Western

Determine whether the data are qualitative or quantitative and identify the data set's level of measurement.

Are the data qualitative or quantitative?

Quantitative

Qualitative

What is the data set's level of measurement?

ARatio

B.Nominal

C.Interval

D.3-The temperatures(inC)ofwatersamplestakensimultaneouslyinthelakesinaregion are shown below.

17.8

22.9

21.8

20.3

22.6

17.9

22.5

22.1

18.3

Determine whether the data are qualitative or quantitative and identify the data set's level of measurement.

Are the data qualitative or quantitative?

Qualitative

Quantitative

What is the data set's level of measurement?

Interval

Ordinal

Ratio

Nominal

4-A researcher wants to study the effects of sleep deprivation on motor skills. Nine people volunteer for the experiment: Amanda, Brian, Christine, David, Emily, Fred, George, Heather, and Ivan. Use the firstrow of digits in the random number table below to select a simple random sample of three subjects (ignore zeros). The other six subjects will go into the control group. If the subjects are numbered 1 through 9 alphabetically, what are the numbers of the three subjects selected? List the subjects that will go in the treatment group.

Line/Column	(1)	(2)	(3)	(4)
1	03078	93330	07931	68146
2	76348	69172	95931	89506
3	84348	22895	59434	19776

What are the numbers of the three subjects selected?

The three subjects, in the order selected, are

Fred,

Amanda,

David,

Ivan,

George,

Emily,

Brian,

Heather,

Christine,

Heather,

George,

Emily,

Brian,

Christine,

Amanda,

Ivan,

David,

Fred,

and

David.

Christine.

Heather.

George.

Brian.

Amanda.

Emily.

Fred.

Ivan.

5-Determine whether the statement is true or false. If it is false, rewrite it as a true statement.

A data set can have the same mean, median, and mode.

Choose the correct answer below.

A.The statement is true.

B.The statement is false. A data set cannot have the same mean and mode.

C.The statement is false. A data set cannot have the same mean and median.

D.The statement is false. A data set cannot have the same median and mode.

6-The number of credits being taken by a sample of 13 full-time college students are listed below. Find the mean, median, and mode of the data, if possible. If any measure cannot be found or does not represent the center of the data, explain why.

81011118777 97778

Find the mean. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A.The mean is

enter your response here.

(Type an integer or decimal rounded to one decimal place as needed.)

B.The data set does not have a mean.

Does the mean represent the center of the data?

A.The mean represents the center.

B.The mean does not represent the center because it is the smallest data value

C.The mean does not represent the center because it is the largest data value.

D.The mean does not represent the center because it is not a data value.

E.The data set does not have a mean.

Find the median. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A.The median is

enter your response here.

(Type an integer or decimal rounded to one decimal place as needed.)

B.The data set does not have a median.

Does the median represent the center of the data?

A.The median represents the center.

B.The median does not represent the center because it is the smallest data value

C.The median does not represent the center because it is not a data value.

D.The median does not represent the center because it is the largest data value.

E.The data set does not have a median.

Find the mode. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A.

The mode(s) is/are

enter your response here.

(Type an integer or decimal rounded to one decimal place as needed. Use a comma to separate answers as needed.)

B.The data set does not have a mode.

Does (Do) the mode(s) represent the center of the data?

A.The mode(s) represent(s) the center.

B.The data set does not have a mode.

C.The mode(s) does (do) not represent the center because it (one) is the

largest

data value.

D.

The mode(s) does (do) not represent the center because it (one) is the

i

data value.

E.

The mode(s) does (do) not represent the center because it (they) is (are) not a data value.

7-Find the mean, median, and mode of the data, if possible. If any of these measures cannot be found or a measure does not represent the center of the data, explain why. The durations (in minutes) of power failures at a residence in the last 6 years are listed below.

19

49

64

26

125

52

125

32

64

79

What is the mean duration? Select the correct choice below and fill in any answer box to complete your choice.

A.The mean duration is

enter your response here

minutes.

(Round to one decimal place as needed.)

B.There is no mean score.

Does the mean represent the center of the data?

A.The mean represents the center.

B.The mean does not represent the center because it is the smallest data value.

C.The mean does not represent the center because it is the largest data value.

D.The mean does not represent the center because it is not a data value.

What is the median duration? Select the correct choice below and fill in any answer box to complete your choice.

A.The median duration is

enter your response here

minutes.

(Round to one decimal place as needed.)

B.There is no median score.

Does the median represent the center of the data?

A.The median represents the center.

B.The median does not represent the center because it is not a data value.

C.The median does not represent the center because it is the largest data value.

D.The median does not represent the center because it is the smallest data value.

What is the mode of the durations? Select the correct choice below and fill in any answer box to complete your choice.

A.The mode(s) of the durations is (are)

enter your response here

minutes.

(Use a comma to separate answers as needed.)

B.There is no mode.

Does (Do) the mode(s) represent the center of the data?

A.The mode(s) represent(s) the center.

B.The mode(s) can't represent the center because it (they) is (are) not a data value.

C.The mode(s) does (do) not represent the center because it (one) is the

largest

data value.

D.The mode(s) does (do) not represent the center because it (one) is the smallest data value.

8-The pie chart shows the responses of a sample of 354small business owners who were asked whether their business has a website. Find the mean, the median, and the mode of the data, if possible. If any measure cannot be found or does not represent the center of the data, explain why.

A pie chart titled "Small Businesses" is divided into six sectors with labels and approximate sizes as a percentage of the circle as follows: "Yes, since 2014 or earlier," 19 percent; "No, neither likely nor unlikely in the future," 7 percent; "No, unlikely in the future," 10 percent; "No, but likely in 2017 or later," 10 percent; "No, but plan to in 2016," 8 percent; "Yes, since 2015," 45 percent. Small BusinessesYes,since2014orearlier66No,neitherlikelynorunlikelyinthefuture26No,unlikelyinthefuture37No,butlikelyin2017orlater35No,butplantoin201630Yes,since2015160

Find the mean. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A.The mean is

enter your response here.

(Round to one decimal place as needed.)

B.The mean cannot be calculated because the sample size is too small.

C.The mean cannot be calculated because the data are at the nominal level of measurement.

D.The mean cannot be calculated because there is an even number of data entries.

Does the mean represent the center of the data? Choose the correct answer below.

A.The mean represents the center of the data set.

B.The mean does not represent the center because it is not a data entry.

C.The mean does not represent the center because it is the greatest data entry.

D.The mean does not represent the center because it is the least data entry.

E.The data set does not have a mean.

Find the median. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A.The median is

enter your response here.

(Round to one decimal place as needed.)

B.The median cannot be calculated because the data are at the nominal level of measurement.

C.The median cannot be calculated because there is an even number of data entries.

D.The median cannot be calculated because the sample size is too small.

Does the median represent the center of the data? Choose the correct answer below.

A.The median represents the center of the data set.

B.The median does not represent the center because it is not a data entry.

C.The median does not represent the center because it is the greatest data entry.

D.The median does not represent the center because it is the least data entry.

E.The data set does not have a median.

Find the mode. Choose the correct answer below.

No,unlikelyinthefuture

No,butlikelyin2017orlater

No,neitherlikelynorunlikelyinthefuture

Yes,since2015

No,butplantoin2016

Yes,since2014orearlier

The data set does not have a mode.

Does the mode represent a typical entry of the data? Choose the correct answer below.

A.The mode represents a typical entry of the data set.

B.The mode does not represent the center because it is not a data entry.

C.The mode does not represent the center because it is the last data entry in the table.

D.The mode does not represent the center because it is the first data entry in the table.

E.The data set does not have a mode.

9-

The weights, in pounds, of packages on a delivery truck are shown in the stem-and-leaf plot. Find the mean, the median, and the mode of the data, if possible. If any measure cannot be found or does not represent the center of the data, explain why.		0	5 6
	1	2 3 8 9
	2	0 0 1 4 9 9 9
	3	1 2 3 5 6 6 6 7 8
	4	4 5 6 7 9
	5	3
	Key: 3	0=30

Find the mean. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A.The mean is

enter your response here.

(Round to one decimal place as needed.)

B.The mean cannot be calculated because the sample size is too small.

C.The mean cannot be calculated because the data are at the nominal level of measurement.

D.The mean cannot be calculated because there is an even number of data entries.

Does the mean represent the center of the data? Choose the correct answer below.

A.The mean represents the center of the data set.

B.The mean does not represent the center because it is not a data entry.

C.The mean does not represent the center because it is the least data entry.

D.The mean does not represent the center because it is the greatest data entry.

E.The data set does not have a mean.

Find the median. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A.The median is

enter your response here.

(Round to one decimal place as needed.)

B.The median cannot be calculated because the sample size is too small.

C.The median cannot be calculated because there is an even number of data entries.

D.The median cannot be calculated because the data are at the nominal level of measurement.

Does the median represent the center of the data? Choose the correct answer below.

A.The median represents the center of the data set.

B.The median does not represent the center because it is the greatest data entry.

C.The median does not represent the center because it is not a data entry.

D.The median does not represent the center because it is the least data entry.

E.The data set does not have a median

Find the mode(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A.

The mode(s) is/are

enter your response here.

(Use a comma to separate answers as needed.)

B.The mode cannot be calculated because the data are at the nominal level of measurement.

C.The mode cannot be calculated because each data entry occurs exactly once.

D.The mode cannot be calculated because the sample size is too small.

Does(Do) the mode(s) represent a typical entry of the data? Choose the correct answer below.

A.The mode(s) does(do) represent a typical entry of the data set.

B.The mode(s) does(do) not represent the center because it(they) is(are) not a data entry(ies).

C.The mode(s) does(do) not represent the center because it(they) is(are) the least data entry(ies).

D.The mode(s) does(do) not represent the center because it(they) is(are) the greatest data entry(ies).

E.The data set does not have a mode.

10-

The scores and their percent of the final grade for a statistics student are given. What is the student's weighted mean score?			Score	Percentoffinalgrade
Homework	85	10
Quiz	90	5
Quiz	92	5
Project	100	45
Final Exam	92	35

The student's weighted mean score is

enter your response here.

11-

The gas mileages (in miles per gallon) for 29cars are shown in the frequency distribution. Approximate the mean of the frequency distribution.		Gas Mileage (in miles per gallon)	Frequency
	27-30	8
	31-34	14
	35-38	2
	39-42	5

The approximate mean of the frequency distribution is

enter your response here.

12-Approximate the mean of the frequency distribution for the ages of the residents of a town.

The approximate mean age is. years.

(Round to one decimal place as needed.)

13-The number of hospital beds in a sample of 20 hospitals is shown below. Construct a frequency distribution and a frequency histogram for the data set using 5classes. Describe the shape of the histogram as symmetric, uniform, negatively skewed, positively skewed, or none of these.

169	162	123	127	180	159	167	222	149	137
198	204	152	250	261	241	293	132	201	177

Construct a frequency distribution for the data set using 5 classes.

(Type whole numbers.)

Class	Frequency
123-157	enter your response here
158-192	enter your response here
193-227	enter your response here
228-262	enter your response here
263-297	enter your response here

Describe the shape of the histogram as symmetric, uniform, negatively skewed, positively skewed, or none of these. Choose the correct answer below.

A.The histogram is symmetric, but not uniform, because the two halves are approximately mirror images.

B.The histogram is negatively skewed because the left tail is longer than the right tail.

C.The histogram is positively skewed because the right tail is longer than the left tail.

D.

The histogram is uniform because the classes all have approximately the same height.

E.The histogram has none of these shapes.

14The heights (to the nearest inch) of 30 males are shown below. Construct a frequency distribution and a frequency histogram of the data using 5 classes. Describe the shape of the histogram as symmetric, uniform, negatively skewed, positively skewed, or none of these.

67	76	64	68	71
68	65	63	76	69
66	72	65	66	69
73	62	62	71	73
68	72	71	65	70
66	74	72	70	69

.....

Construct a frequency distribution of the data using 5 classes. Use the minimum data entry as the lower limit of the first class. Use the smallest whole number class width possible.

Class	Frequency	Midpoint
enter your response here-enter your response here	enter your response here	enter your response here
enter your response here-enter your response here	enter your response here	enter your response here
enter your response here-enter your response here	enter your response here	enter your response here
enter your response here-enter your response here	enter your response here	enter your response here
enter your response here-enter your response here	enter your response here	enter your response here

Describe the shape of the histogram. Choose the correct answer below.

Negatively skewed

Symmetric

Positively skewed

Uniform

None of these

15-During a quality assurance check, the actual contents (in grams) of six containers of protein powder were recorded as

1527,

1533,

1503,

1514,

1535,

and

1513.

(a) Find the mean and the median of the contents.

(b) The third value was incorrectly measured and is actually

1517.

Find the mean and the median of the contents again.

(c) Which measure of central tendency, the mean or the median, was affected more by the data entry error?

(a) The mean is

enter your response here.

(Round to one decimal place as needed.)

The median is

enter your response here.

(Type an integer or a decimal. Do not round.)

(b) The mean is

enter your response here.

(Round to one decimal place as needed.)

The median is

enter your response here.

(Type an integer or a decimal. Do not round.)

(c) After correcting the error, the mean

increased

decreased

by

enter your response here

and the median

increased

decreased

by

enter your response here.

The

mean

median

was affected more.

(Round to one decimal place as needed.)