Construct a cumulative frequency distribution

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Reference no: EM132262324

Descriptive Statistics Assignment - Install the Data Analysis Tool-Pack

Read Chapter 1 'Introduction to Biostatistics' and Chapter 2 'Descriptive Statistics'.

Review the instructor's prompt 'MEASURES' and breeze.

Review the application on frequency distributions. "Frequency Distributions. Selenium Level in Beef"

Do the following applications after reading the text and reviewing the prompt.

Application 1 - Porcellini et. al. (A-8) studied 13 HIV positive patients who were treated with highly active antiretroviral therapy (HAART) for at least 6 months. The CD4 T cell counts (×106 /L) at baseline for the 13 subjects are listed below.

230 205 313 207 227 245 173

58 103 181 105 301 169

Compute (a) the mean, (b) the median, (c) the mode, (d) the range, (e) the variance, (f) the standard deviation, (g) the coefficient of variation, (h) the interquartile range. Select the measure of central tendency that you think would be most appropriate for describing the data.

Application 2 - Cardosi et. al. (A-12) performed a 4-year retrospective review of 102 women undergoing radical hysterectomy for cervical or endometrial cancer. Catheter associated urinary tract infection was observed in 12 of the subjects. Below is the number of postoperative days until diagnosis of the infection for each subject experiencing an infection?

16 10 49 15 6 15

8 19 11 22 13 17

Compute (a) the mean, (b) the median, (c) the mode, (d) the range, (e) the variance, (f) the standard deviation, (g) the coefficient of variation, (h) the interquartile range. Select the measure of central tendency that you think would be most appropriate for describing the data.

Application 3 - Krieser et al. (A-17) examined glomerular filtration rate (GFR) in pediatric renal transplant recipients. GFR is an important parameter of renal function assessed in renal transplant recipients. The following are measurements from 19 subjects of GFR measured with diethylenetriamine pentacetic acid. (Note: some subjects were measured more than once.)

18 42

21 43

21 43

23 48

27 48

27 51

30 55

32 58

32 60

32 62

36 67

37 68

41 88

42 63

Compute (a) the mean, (b) the median, (c) the variance, (d) the standard deviation, (e) the coefficient of variation. (f) Select the measure of central tendency that you think would be most appropriate for describing the data. (g) What percentage of the measurements is within one standard deviation of the mean? Two standard deviations of the mean? Three standard deviations of the mean?

Application 4 - Spivack (A-18) investigated the severity of disease associated with C. difficile in pediatric inpatients. One of the variables they examined was number of days patients experienced diarrhea. The data for the 22 subjects in the study appear below.

3 11 3 4 14 2 4 5 3 11 2

2 3 2 1 1 7 2 1 1 3 2

Compute (a) the mean, (b) the median, (c) the variance, (d) the standard deviation, (e) the coefficient of variation. (f) Select the measure of central tendency that you think would be most appropriate for describing the data. (g) What percentage of the measurements is within one standard deviation of the mean? Two standard deviations of the mean? Three standard deviations of the mean?

Application 5 -

Mother's Age

Number of Live Births

10-14

7

15-19

258

20-24

585

25-29

841

39-34

981

35-39

526

40-44

99

45-49

4

For these data construct a cumulative frequency distribution, a relative frequency distribution and a cumulative relative frequency distribution.

Application 6 -

6.1 - Express in words the following properties of the sample mean:

(a) ∑(x-x-)2 = a minimum

(b) nx- =∑x

(c) ∑(x-x-) = 0

6.2 - Your statistics instructor tells you on the first day of class that there will be five tests during the term. From the scores on these tests for each student, the instructor will compute a measure of central tendency that will serve as the student's final course grade. Before taking the first test, you must choose whether you want your final grade to be the mean or the median of the five test scores. Which would you choose and why?

6.3 - On a statistics test students were asked to construct a frequency distribution of the blood creatine levels (units/liter) for a sample of 300 healthy subjects. The mean was 95, and the standard deviation was 40. The following class interval widths were used by the students:

(a) 1 (d) 15

(b) 5 (e) 20

(c) 10 (f) 25

Comment on the appropriateness of these choices of widths.

PROJECT 1 - Are young patients seen less frequently in emergency rooms of hospitals?

The following are the ages of 76 patients seen in the emergency room of a hospital on a Friday night:

35; 32; 21; 43; 39; 60; 36; 12; 54; 45; 37; 53; 45; 23; 64; 10; 34; 22; 36; 45; 55; 44; 55; 46; 12; 22; 38; 35; 56; 45; 57; 21; 43; 39; 60; 36; 12; 54; 45; 37; 53; 45; 10; 34; 22; 36; 45; 36; 12; 54; 45; 37; 53; 45; 23; 64; 10; 21; 43; 39; 60; 36; 12; 11; 34; 22; 30; 8; 19; 21; 8; 16; 39; 24; 22; 10;

Your finding as to the age of the individuals seen in the emergency room is to be based on the following requirements:

a. A frequency distribution, a relative frequency distribution, a cumulative frequency distribution, a cumulative relative frequency distribution, a histogram, a frequency polygon for the sample.

b. A discussion about: the percentage of subjects with ages less than 30, the percentage of subjects with measurements between 30 and 50 inclusive, the percentage of subjects with measurements larger than 50.

c. How you would describe the distribution of the sample data.

For a grade level - Attach the text and data of the research. You must provide your answers with all the applicable computations. You must answer the question(s) raised by this research. Each answer must be complete and correct.

Attachment:- Assignment File.rar

Reference no: EM132262324

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