Prepare a frequency distribution of the data set

Question

Discuss the following:

Part 1: Moore Travel Agency, a nationwide travel agency, offers special rates on certain Caribbean cruises to senior citizens. The president of Moore Travel wants additional information on the ages of those people taking cruises. A random sample of 70 customers taking a cruise last year revealed these ages.

57	77	85	72	80	58	55
74	70	60	85	59	66	61
91	59	57	83	79	52	91
70	81	66	86	66	80	81
53	55	68	77	80	86	74
66	55	82	55	69	63	77
82	87	64	90	56	70	89
78	72	60	85	67	76	69
62	54	90	53	91	75	77
53	74	89	67	67	56	67

Use the 2^k  > n rule to prepare a Frequency Distribution of the above data set and then construct a Histogram, Frequency Polygon and Ogive.

Part 2: The following list contains the number of customers assisted by three financial advisors in a local bank over a 10-day period.

Financial					Day
Advisor	1	2	3	4	5	6	7	8	9	10
Alan	41	36	30	26	23	22	23	20	17	18
Beth	33	31	35	29	32	32	30	29	34	27
Clair	22	24	25	26	31	35	35	37	38	39

Prepare:          

a.) Stem-and-Leaf Chart for Alan

b.)  Ordered Array for Beth

c.)  Box-and-Whisker Plot for Clair

d.) Pie Chart showing percentages for Alan, Beth and Clair

e.) Time Line (on one chart) for Alan, Beth and Clair

f.)  100% Bar Chart (on one chart) for Alan, Beth and Clair based on the company standard that financial advisors must assist at least 30 customers a day to be considered successful. (i.e., less than 30 is considered unsuccessful)

Part 3: Systematic Inflammatory response syndrome (SIRS) is a major problem for patients with disfunctioning organs. Medical researchers at the University of Pittsburgh (Journal of the American Medical Association, July 5, 1995) conducted a study of the incidents of SIRS in 22 patients with cirrhosis of the liver. The clinical characteristics of the 22 patients-all waiting liver transplants in the intensive care unit (ICU)-are reported in the accompanying table.

Organ	Bile
Dysfunction	Blood Level	Age	Apache	Goris		Blood
Group	(mg/dL)	(years)	Scale	Scale	SIRS	Culture	Infection
Mild	1.22	54	21	6	No	Positive	No
Mild	1.89	37	21	5	No	Positive	Yes
Mild	0.58	59	19	5	No	Negative	No
Mild	0.13	24	12	4	No	Negative	No
Mild	2.21	39	7	3	No	Negative	No
Mild	0.96	75	10	2	No	Negative	No
Mild	0.54	40	23	9	Yes	Positive	No
Mild	1.11	44	27	8	Yes	Negative	No
Mild	2.81	51	26	10	Yes	Positive	No
Mild	1.11	28	18	7	Yes	Positive	No
Moderate	0.58	65	16	4	Yes	Positive	No
Moderate	0.38	57	15	5	Yes	Positive	No
Moderate	0.88	61	20	7	No	Negative	No
Moderate	2.45	37	15	5	Yes	Positive	No
Moderate	2.12	40	21	8	Yes	Negative	No
Moderate	0.68	48	29	11	Yes	Negative	No
Moderate	0.33	47	29	9	Yes	Positive	Yes
Moderate	0.18	60	31	12	Yes	Positive	Yes
Severe	0.76	57	30	9	Yes	Positive	Yes
Severe	1.05	48	23	7	Yes	Positive	Yes
Severe	0.44	58	25	8	Yes	Positive	Yes
Severe	1.39	65	27	9	Yes	Positive	Yes

a.) Develop a Pareto Chart for the Organ Dysfunction Group.

b.) Draw a Box-and-Whisker Plot for the Bile Blood Level

c.) Construct a Stem-and-Leaf Chart for age.

d.) Develop a Scatter plot for the Goris Scale (x-axis) and the Apache Scale (y-axis).

e.) Develop a 100% Bar Chart for Blood Culture

f.) Develop a Pie Chart for Infection

Part I: Data Organization and Analysis

A group of used AAA Batteries is thought to be made up of two different types (Ever-So-Readys and Enter-Me-Gizers).  The Enter-Me-Gizers are touted to be the best.  Sixty-three batteries were put into continual use until they failed.  The minutes each battery operated before failure is noted in the accompanying table.

409	403	407	430	432	440	391
400	392	406	431	442	439	394
399	408	399	448	422	442	393
406	399	404	434	434	436	395
399	393	405	433	435	443	393
439	446	429	400	397	442	395
424	429	426	395	390	440	391
420	432	443	410	397	441	391
434	445	435	397	405	439	392

a. Construct a Frequency Distribution with 10 Categories from the information in the table( i.e., Width = (Xmax-Xmin)/10, then round up to the next integer)

b. Construct a Histogram from the Frequency Distribution (you should see two distinct piles)

c. Calculate the Mean and Standard Deviation of the Ever-

So-Readys and the Enter-Me-Gizers (that's the statistics for each pile you see in your histogram).

d.  If a battery last for 410 minutes before failure, which type is it?  Support your answer with a good statistical argument (think about standardizing the distance from center of each pile).

Part II: Grouped Data

The following frequency distribution classifies college students based on their "adult beverage" consumption on a weekly basis.

Fill in the blank spaces with frequency distribution

		"Beers"
	Class	Boundary	Frequency	Midpoint
			F	M	FM	FMM
	A	0 - 4	1
	B	5 - 9	3
	C	10 - 14	5
	D	15 - 19	7
	E	20 - 24	4
		Sums

1. Draw a RELATIVE histogram from the frequency distribution

1. Draw a separate RELATIVE frequency polygon from the frequency distribution.

1. Draw a RELATIVE cumulative frequency chart (Ogive) from the frequency distribution.

1. Recreate the data set in the form of an ordered array.

1. Draw a box plot.

1. Compute the interquartile range from your box plot.

1. Compute the mean and standard deviation of the data set.

1. What is the 60^th percentile?

1. Draw a number line and label it with the sample mean, two standard deviations above the sample mean, and two standard deviations below the sample mean.