Mathematics Assignment

Mathematics Assignment
Student Name:
Instructor Name:
Course Number:
12th July 2019

1. Research is a scientific or scholarly investigation that aims to provide insights and
innovative solutions to health problems. Which of the following is NOT an analytic
competency important for conducting research?
a. Determine appropriate use of data and statistical methods for problem identification and
resolution and program planning, implementation, and evaluation
b. Select and define variables relevant to defined public health problems
c. Evaluate the integrity and comparability of data and identify gaps in data sources
d. Make relevant inferences from data
e. All of the above are important analytic competencies
2. Which of the following is indicative that an analytic epidemiologic study is involved?
a. An epidemic curve
b. A description of the clinical characteristics of a disease
c. A description of the frequency and pattern of disease by person, place, and time
d. A comparison group
3. The standard deviation for the data 8, 10, 17, 20 25, 30, 35, and 40, is 11.50. What is the
coefficient of variation?
Coefficient of variation CV=( Standard deviation
mean )× 100
Mean= 8+10+17+20+ 25+30+35+ 40
8 =185
8 =23.125
Coefficient of variation CV=( Standard deviation
mean )× 100 %= 11.50
23.125 ×100=49.7
a. 49.7
4a)What is the geometric mean for the following data set: 10, 10, 10, 100, 100, 1000, 10000?
Geometric mean=7
√10 ×10 ×10 ×100 ×100 ×1000 ×10000=7
√1014=102=100
a. 100
b) Calculate the age-group specific rate ratios for population A compared with population
B.
Population A
Age(Yrs) Population Number of Observed
deaths(O)
Age specific Rate per
1000 person years
Expected deaths(E)
15-29 1000 34 34 0.034×1000=34
30-49 4000 26 6.5 0.0065×4000=26
50+ 6000 120 20 0.02×6000=120
Total 11000 181 18.1 181

Population B
Age(Yrs) Population Number of Observed
deaths(O)
Age specific Rate per
1000 person years
Expected deaths(E)
15-29 5000 120 24 0.024×5000=120
30-49 2000 10 5 0.005×2000=10
50+ 1000 10 10 0.01×1000=10
Total 8000 140 17.5 140
Age specific rate ratio is calculated in the table below(using the above table for Population A and
Population B respectively)
Population A Population B
Age(Yrs) Rate per
1000 person
years
Rate per 1000
person years
Age specific Rate Ratio per 1000 person
=
Age specific Rate of A per 1000 persons
Age specific Rate of B per 1000 persons ×100000
15-29 34 24 141 667
30-49 6.5 5 130000
50+ 20 10 200000
Total 18.1 17.5 105848
c) Calculate the crude death rate ratio for population A compared with population B.
Crude death rate for population A = total deaths
population × 1000=
( 34+26 +121
1000+4000+ 6000 ) × 1000= 181
10000 × 1000
=18.1 deaths per 1000
Crude death rate for population B = total deaths
population × 1000=
( 120+10+10
5000+2000+1000 )×1000= 140
8000 ×1000
=17.5 deaths per 1000