WRITTEN ASSIGNMENT WEEK 2

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University of the People *

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CPH 4510

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Health Science

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Dec 6, 2023

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docx

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9

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Written Assignment: Measures of Central Tendency and Variability University of The People HS 4510: Biostatistics Written Assignment: Week 2 Instructor: Prof Adaugo Eziyi 28 Nov 2023 Table 1 1
Age categories and relative frequencies of mean pulse rate of study participants(male an female) Age of individual participants(years ) Number of participant s Mean Pulse rate Relative Frequencies 10-14 5 70.8 0.2= 20% 15-19 6 74.3 0.24= 24% 20-24 2 64.0 0.08= 8% 25-29 2 71.0 0.08= 8% 30-34 1 73.0 0.04= 4% 35-39 2 84.0 0.08= 8% 40-44 3 79.7 0.12= 12% 45-49 2 65.0 0.08= 8% 2
50-54 1 110.0 0.04= 4% 55-59 1 94.0 0.04= 4% Totals 25 1 = 100% What is the proportion of males and females in this sample? Females: Males= 10: 11 Now there are 4 who were not mentioned their gender. I will assume 2 are male and 2 are female therefore Females: Males= 12: 13 a). I would use Box or Whisker plot and Histograms . Firstly, the histogram summarizes discrete or continuous data on an interval scale. Box or Whisker plots shows continuous numerical data distribution between multiple groups when you want to compare it. The data that we have is mutually exclusively that is it does not overlap and are continuous variables. Histograms show relative frequencies giving a probability distribution of a continuous variable. Box or Whisker plots would show us the first quartile up to the third quartile, the median and the outliers data 3. Males: 79, 90, 75, 60, 65, 79, 54, 98, 49 Females: 66, 59, 79, 95, 72, 55, 64, 60, 65 Calculations: 3
a. Calculate the arithmetic mean pulse for each gender separately , and for both genders together Males : 79, 90, 75, 60, 65, 79, 54, 98, 49 Arithmetic mean=1/9x ( 79+ 90+ 75+ 60+ 65+ 79+ 54+ 98+ 49) =649/9 =72.1bpm Females: 66, 59, 79, 95, 72, 55, 64, 60, 65 Arithmetic mean=1/9x (66+ 59+ 79+ 95+ 72+ 55+ 64+ 60+ 65) =615/9 =68.3 bpm Arithmetic mean for both = 1/18x (649+615) =1264/18 =70.2bpm b. List the median pulse for each gender separately , and for both genders together . Arrange the pulse data in ascending order first. The median divides the data as 50 th percentile i) Males: 79, 90, 75, 60, 65, 79, 54, 98, 49 49, 54, 60, 65 , 75, 79, 79, 90, 98 The median for male= 75bpm ii) Females: 66, 59, 79, 95, 72, 55, 64, 60, 65 55, 59, 60, 64, 65, 66, 72, 79, 95 The median for female= 65bpm iii) For both: 49, 54, 55, 59, 60, 60, 64, 65, 65, 66,72, 75, 79, 79, 79, 90 ,95, 98 4
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