1.The quantitative data set under consideration has roughly a bell-shaped distribution. Apply the empirical rule to answer the following question.

A quantitative data set of size

60

has mean

30

and standard deviation

4.

Approximately how many observations lie between

26

and

34?

Question content area bottom

Part 1

Approximately

enter your response here

observations lie between

26

and

34.

2. The quantitative data set under consideration has roughly a bell-shaped distribution. Apply the empirical rule to answer the following question.

A quantitative data set has mean

23

and standard deviation

4.

Approximately what percentage of the observations lie between

15

and

31?

Question content area bottom

Part 1

Approximately

enter your response here%

of the observations lie between

15

and

31.

3. A study is published with information about ages of people in a particular region. A sample of five residents from the region have the following ages, in years. Complete parts (a) through (d) below.

32

23

75

14

54

Question content area bottom

Part 1

a. Determine the range of these ages.

The range is

6161.

(Simplify your answer.)

Part 2

b. Find the sample standard deviation of these ages by using the defining formula

s=xix2n1,

where n is the sample size and

x

is the sample mean.

The standard deviation is

24.724.7.

(Round to one decimal place as needed.)

Part 3

c. Find the sample standard deviation of these ages by using the computing formula

s=x2ixi2/nn1,

where n is the sample size.

The standard deviation is

enter your response here.

4. Survey data on hospital type for a certain country's registered hospitals can be found in the accompanying table. Use technology to obtain the measures of center that are appropriate from among the mean, median, and mode. Discuss your results and decide which measure of center is most appropriate. Provide a reason for your answer.

LOADING...

Click the icon to view the hospital types for a country's registered hospitals.

Question content area bottom

Part 1

Identify 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 a decimal. Round to one decimal place as needed.)

B.

The mean does not exist.

NPC	SLC	NFP	SLC	FGH		Abbreviations
NLT	NLT	FGH	NPC	NFP
SLC	NPC	IOC	NPC	IOC		NPC: Nongovernment not-for-profit community hospitals
SLC	NFP	HUI	NLT	IOC		IOC: Investor-owned (for-profit) community hospitals
NPC	FGH	FGH	NFP	NFP		SLC: State and local government community hospitals
NPC	IOC	NFP	HUI	HUI		FGH: Federal government hospitals
HUI	NLT	NFP	IOC	FGH		NFP: Nonfederal psychiatric hospitals
NLT	HUI	HUI	SLC	NFP		NLT: Nonfederal long-term-care hospitals
NLT	HUI	NFP	FGH	SLC		HUI: Hospital units of institutions
NLT	NFP	SLC	FGH	NFP
NPC	SLC	HUI	NLT	SLC
SLC	IOC	NPC	FGH	SLC
IOC	IOC	SLC	NFP	HUI
NPC	IOC	NLT	NLT	FGH
NFP	NLT	NLT	SLC	NLT
NLT	HUI	SLC	SLC	IOC
HUI	NLT	NFP	NLT	NLT
NPC	NFP	NFP	SLC	NFP
NFP	FGH	IOC	HUI	HUI
FGH	SLC	FGH	FGH	NLT
NLT	IOC	NFP	NFP	HUI
FGH	FGH	IOC	NPC	NLT
IOC	FGH	NPC	SLC	NLT
NLT	NPC	FGH	NPC	SLC
IOC	FGH	NFP	NPC	SLC
IOC	IOC	SLC	HUI	NFP
NFP	FGH	NPC	NPC	NPC
IOC	NLT	NFP	SLC	SLC

pop-up content ends

Each year, tornadoes that touch down are recorded and published. The following table gives the number of tornadoes that touched down in the United States during each month of one year. Complete parts (a) through (c) below.

3	2	48	113	202	95
66	85	61	59	96	97

Question content area bottom

Part 1

a. Find the mean.

The mean is

enter your response here.