Statistical Exercises
1. A survey was carried out amongst 400 children of less than 2 years of age for measles. Out of 100 children who were unvaccinated, 70 had a history of measles. Total cases of measles were 150. Construct a two by two table and comment if measles vaccine has any role in prevention of measles by applying a suitable statistical test.
2.. A survey for the protein energy malnutrition was carried out in children below 6 years of age in two areas ‘A’ having ICDS services and ‘B’ not having ICDS services. Following were the findings.
|
Area |
No. of PEM cases |
Total no. of <6 yrs children |
|
A |
50 |
360 |
|
B |
45 |
175 |
|
Total |
95 |
535 |
Apply a suitable statistical test and state if ICDS services have any role in relation to PEM.
3. A survey was carried out amongst 500 persons of above 40 years of age for diabetes and following were the findings:
|
Diabetes |
Mean weight (kg) |
SD of weight (kg) |
|
Present (n = 150) |
82.5 |
3.5 |
|
Absent (n = 350) |
65.5 |
4.5 |
Apply a suitable statistical test and comment if weight has any association with diabetes.
4. A survey was carried out amongst newly admitted students in a medical college. Mean height of girls was 157.5 cm with SD of 6.5 cm whereas mean height of boys was 165.7 cm with SD of 10.5 cm. comment on the variability of height.
5. (a) In a survey, following were the observations:
|
Age of women (years) |
Age-specific Fertility Rate/1000 |
|
15 – 19 |
55 |
|
20 – 24 |
90 |
|
25 – 29 |
150 |
|
30 – 34 |
125 |
|
35 – 39 |
115 |
|
40 – 44 |
65 |
|
45 - 49 |
10 |
Calculate total Fertility Rates of the area.
(b) If numbers of married women in the reproductive age group are 1500 and out of them, 200 are tubectomized, 100 are using Oral Contraceptive Pills and 150 are using Intra Uterine Device, find Couple Protection Rate if the area.
6. Prevalence of hypertension in persons above 50 years of age is 15%. Calculate sample size which will be required for a community survey of hypertension allowing 10% error.
7. The number of live birth in IBM 000-007 test a city in the year 2000 is given below, classified according to the age of mother, together with the number of women in each age group.
|
Age group |
No. of women |
No. of live births |
|
15-19 |
22000 |
750 |
|
20-24 |
28000 |
2850 |
|
25-29 |
26500 |
2200 |
|
30-34 |
20500 |
1550 |
|
35-39 |
15000 |
500 |
|
40-44 |
7500 |
120 |
|
45-49 |
5500 |
30 |
|
Total |
125000 |
8000 |
If the total population of the city during the year was 500,000 then with the above data compute (1) CBR, (2) GFR, (3) ASFR and (4) TFR.
8. A group of scientific men reported 1705 sons and 1527 daughters. Do these figures conform to the hypothesis of IBM 000-012 dumps a male sex ratio of ½? Take level of significance as 5%.
9. The population of a city x as per 1st March 1981 census was 7,61,668 and as per 1st March 1971 census was 5,77,308. Calculate Mid Year Population of 1974 and 1985 using A.P. method.
10. In a hospital during the year 2004, 5321 children were born with normal weight and 1804 were having low birth weight. The expectation is 25% of low birth weight, according to the national average. Can the divergence from the expected frequency has arisen from sampling error only? α =5%
11. Two subcentre of a Primary Health Care A and B respectively had population of 4850 and 5300, during the year 2004 following were the observation:
|
|
Subcentre |
|
|
A |
B |
|
|
Infant Mortality rate |
75 |
60 |
|
Crude Birth Rate |
35 |
25 |
Find out number of infant death in subcentre A and B.
12.Find average number of days of confinement of 75 pregnant women after delivery from the following data.
|
Days of confinement (x) |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
12 |
|
No. of pregnant women |
10 |
15 |
17 |
12 |
9 |
3 |
4 |
5 |
13. A slum area having population of 3500 observed following in the year 2004:
|
Crude Death Rate |
10/1000 MYP |
|
Death due to Tuberculosis |
1 |
|
Total Live Birth |
10 |
|
Matenal Mortality Rate |
4/100 Live Births |
Calculate:
- Total Death
- Proportion Death Rate due to TB
- Specific Death rate due to TB
- Crude Birth Rate
- No. of Maternal Death
14. Mean haemoglobin level of pregnant women attending antenatal clinic of V.S.GeneralHospital was 8.5 gm% with SD of 1.5 gm%. Suggest sample size for a survey of anaemia amongst pregnant women if allowable error is 10%.
15. Naranpura ward of Ahmedabad has population of 85,000 in 1991 cansus and 1,20,000 in 2001 census. In the ya 2004 following wee observed
Total live births 3750
Foetal deaths 400
Calculate Crude Birth Rate, Foetal Death ate and proportion of Foetal deaths for the area.
16. A survey for the protein energy malnutrition was carried out in children below 6 years of age in two areas ‘A’ having ICDS services and ‘B’ not having ICDS services. Following were the findings.
|
Area |
No. of PEM cases |
Total no. of <6 yrs children |
|
A |
50 |
360 |
|
B |
45 |
175 |
|
Total |
95 |
535 |
Apply a suitable statistical test and state if ICDS services have any role in relation to PEM.
17. A survey of locality showed following data for the yea 2004:
|
Population |
3250 |
|
Married reproductive age group woman |
15% of population |
|
Total live births |
11 |
|
No. of abortions |
40 |
Calculate Crude Birth ate, No. of Eligible Couples, General Fertility ate, Abortion Rate and proportion of abortion.