# Descriptive statistics and charts

Part 1: (20 Points) 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 2k > n rule to prepare a Frequency Distribution of the above data set and then construct a Histogram, Frequency Polygon and Ogive.

Part 2: (30 Points) 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: (50 Points) 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

https://brainmass.com/statistics/quantative-analysis-of-data/descriptive-statistics-charts-133181

#### Solution Preview

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Part 1: (20 Points) 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 2k > n rule to prepare a Frequency Distribution of the above data set and then construct a Histogram, Frequency Polygon and Ogive.

Answer

The number of class intervals can be calculated from 2k > n rule. Since 128=27 > 70, the number of class interval is fixed as 7.

Part 2: (30 Points) The following list contains ...

#### Solution Summary

The solution gives the complete steps to plot stem and leaf, bar chart, box and whisker plot, pie chart and histogram . It also discusses the calculation of percentile, quartile, median,,mean, median and mode.