2nd PUC Statistics Question Bank Chapter 1 Vital statistics

Students can Download Statistics Chapter 1 Vital statistics Questions and Answers, Notes Pdf, 2nd PUC Statistics Question Bank with Answers helps you to revise the complete Karnataka State Board Syllabus and to clear all their doubts, score well in final exams.

Karnataka 2nd PUC Statistics Question Bank Chapter 1 Vital statistics

Section – A

2nd PUC Statistics Vital Statistics One Mark Questions and Answers

1/32 to decimal 0.03125. percentage 3%. Step-by-step explanation: to change franctions to decimal.

Question 1.
Define Vital Statistics.
Answer:
Vital Statistics is a branch of statistics which deals with analysis and interpretation of numerical data regarding vital events of human life.

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Question 2.
What is demography? Age group in a year?
Answer:
Demography is the statistical study of human population.

Calculate the age of a person, place or anything else. This age calculator calculates age for a date of birth on any given date in years, months and days.

Question 3.
Mention the source of vital statistics.
Answer:
Registration method.

Question 4.
Write the formula for estimating the population between two census years.
Answer:
P_t = P₀ + (B – D) + (I – E)

Question 5.
Mention a use of vital statistics.
Answer:
Vital statistics are used in planning and evaluation of economic and social development of a country.

Question 6.
Define fertility.
Answer:
Fertility refers to the births occurring to women of child bearing age.

Question 7.
Define fecundity.
Answer:
Fecundity refers to “the capacity of woman to bear children”.

Question 8.
Define crude birth rate.
Answer:
The average number of live births occurring to 1000 individuals in a year is called crude birth rate.

Question 9.
Mention a demerit of crude birth rate.
Answer:
Crude birth rate cannot be used to compare the birth rates of two or more populations.

Question 10.
Define general fertility rate.
Answer:
The average number of live births occurring to one thousand women of child bearing age in a year is called general fertility rate.

Question 11.
Generally what is the child bearing age for women.
Answer:
15 – 49 years.

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Question 12.
Give the formula for calculating general fertility
Answer:

Question 13.
Define age specific fertility rate.
Answer:
It is average number of live births occurring to one thousand women population of a specific, age group in a year.

Question 14.
Give the formula for calculating age specific fertility rate.
Answer:
Age specific fertility rate:

Question 15.
Define Total fertility rate.
Answer:
TFR is defined as “the total of annual age specific fertility rates of women of child bearing age”.

Question 16.
Mention a merit TFR.
Answer:
It is used to compare the fertility rates of different populations.

Question 17.
Define gross reproduction rate.
Answer:
GRR means “the average number of female children that a woman is expected to give birth during her entire reproductive span of conforming to the age – specific fertility rates for a given year, if there is no mortality”

Question 18.
Define net reproduction rate.
Answer:
NRR means ” the average number of daughters that would be born to a woman, if she passed through her lifetime conforming to the age – specific fertility and mortality rates of a given year”

Question 19.
In a situation, if GRR per woman is greater than 1 & NRR per woman is less than 1, then what is your conclusion about the population.
Answer:
The population is decreasing (since, NRR per woman is less than 1).

Question 20.
Define crude death rate.
Answer:
Crude death rate is the average number of deaths occurring in the year per one thousand population.

Question 21.
Define age specific death rate.
Answer:
Age specific death rate is the average number of deaths occurring in a given age-group per one thousand population is that age group in the year.

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Question 22.
Give the formula for calculating age specific death rate.
Answer:

Question 23.
Write a merit of age specific death rate.
Answer:
It considers age composition of the population.

Question 24.
Which measure of mortality is used to know the healthy condition of two places?
Answer:
Standardized death rate is the measure of mortality is used to know the health conditions of two places.

Question 25.
Define infant mortality rate?
Answer:
Infant mortality rate is the average number of infant deaths per thousand live births in a year.

Question 26.
Give the formula for calculating infant mortality rate.
Answer:

Question 27.
Define neo-natal mortality rate.
Answer:
Neo-natal mortality rate is the average number of neo-natal deaths per thousand live births in a year.

Question 28.
Define maternal mortality rate.
Answer:
Maternal mortality rate is the average number of mothers death during child birth per thousand live births in a year.

Question 29.
Give the formula for calculating maternal mortality rate.
Answer:

Question 30.
What is life table?
Answer:
The tabular presentation of numerical data describing the mortality experience of a cohort is called life table.

Question 31.
Mention one use of life table.
Answer:
It is used to measure the growth of population in the computation of NRR.

Question 32.
Define longevity.
Answer:
Longevity is the expected number of years that a new, born baby would survive.

Question 33.
Define cohort.
Answer:
Cohort is a group of individuals who are born at the same time and who experience the same mortality conditions.

Question 34.
Define radix.
Answer:
Radix is the size of the cohort. (Generally 1,00,000).

Question 35.
What is mortality ratio?
Answer:
Mortality ratio is the probability that a person of age x will die before reaching the age (x + 1) years.

Question 36.
What is survival ratio?
Answer:
Survival ratio is the probability that a person of age x survives upto age x + 1.

Question 37.
Define expectation of life or life expectancy.
Answer:
The average number of years a person aged ’x’ is expected to live under the prevailing mortality to expected average conditions.

Section – B

2nd PUC Statistics Vital Statistics Two Marks Questions and Answers

Question 1.
Mention any two vital events occurring in human populations.
Answer:
Birth, death.

Question 2.
Mention any two methods of obtaining vital statistics.
Answer:
Census method, Registration method.

Question 3.
Briefly explain registration method of collection of vital statistics.
Answer:
Registration refers to the vital events such as births, deaths, marriages, divorces etc, are recorded in the gram panchayats, municipalities, corporation officers, hospitals, etc.,

Question 4.
Mention any two uses of vital statistics.
Answer:

1. They help in formulation of economic and social plans for the development of the country.
2. These are used in government agencies for administrative purposes.

Question 5.
Mention any two fertility rates.
Answer:

1. Crude Birth Rate
2. General fertility Rate

Question 6.
Write two merits of standardized death rate.
Answer:

1. It is a good measure of mortality giving importance to age groups.
2. It can be used for comparison of mortality of two or more populations.

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Question 7.
Write two differences between CDR & STDR.
Answer:

CDR	STDR
1. It requires less information	1. It requires less information
2. It cannot be used for comparison of death rates of two or more populations	2. It can be used for comparison of death rates of two or more populations

Question 8.
Mention any two Mortality rate.
Answer:

1. Crude Death Rate
2. Age Specific Death Rate

Question 9.
Discuss the uses of vital statistics.
Answer:

• Planning and evaluation of economic and social policies can be formed because of vital statistics.
• They provide sources of information to government agencies.
• They can be used in medical field for research.
• They can be useful while comparing demographic structure to an individual the way of recording of events such as birth, death, marriage, divorce… becomes easier.
• They form a great tool to the government to judge the impact of various policies.

Question 10.
What is life table? Explain its components.
Answer:
The tabular presentation of numerical data describing the mortality experience of a cohort is called life table.
Components:

• x : x = 0,1,2,3, is the age of a person
• l_x = The number of people living at age x. Thus 1₀ is the radix
• d_x = The number of people among 1_x persons reaching age x, who die before reaching the age x + 1
  Thus, d_x = 1_x – 1_x+1 i.e., the number of people dieing between age x and x + 1
• q_x = The possibility that a person of exact age x years will die before reaching the age (x + 1) years. Thus
  q_x = \(\frac{\mathrm{d}_{\mathrm{x}}}{1_{\mathrm{x}}}\) = mortality ratio
• p_x =The possibility that a person of aged x lives up to x + 1
  Thus P_x = 1 – q_x = 1 – \(\frac{\mathrm{d}_{\mathrm{x}}}{1_{\mathrm{x}}}\) = \(\frac{1_{x+1}}{1_{x}}\)
• L_x = The number of years lived in the aggregates, by the cohort of 1 people between age x and x + 1.
  
• T_x = Total number of years lived by the cohort after reaching age x
  T_x = L_x + L_x+1 + L_x+2 ………
• e°_x = complete expectation of life. Mean number of years a persons of aged x can be assumed to live under the existing mortality conditions e°_x = \(\frac{T_{x}}{1_{x}}\)

Question 11.
What are the uses of life table?
Answer:

• They come as a great use to the life insurance company in order to fix rates of premium for policies of different aged.
• It is used to compute the net reproduction rate and growth in population.
• It is used for future predictions.
• It is used to plan health care, retirement, education, life table serves as a important tool.
• It is used to analyze the interrelation of mortality on the basis of age, sex, composition of the population.

2nd PUC Statistics Vital Statistics Exercise Problems

Question 1.
The population of a locality at the end of 2011 was 10,05,000. There were 13,030 births and 10,000 deaths in 2012 and the number of immigrants and emigrants were 65,000 and 20,000 respectively. Estimate the population at the end of 2012.
Answer:
Population = (P₀) = 10,05,000
Births (B) = 13,030
Deaths (D) = 10,000
Immigrants (I) = 65,000
Emigrants (E) = 20,000
Population at the end of year 2012 (P_t)
P_t = P₀ + [B – D) + [I – E)
P_t = 10, 05,000 + [13,030 – 10,000) + (65,000 – 20,000)
P_t = 10, 05,000 + 3,030 + 45,000
P_t = 10, 53,030

Question 2.
The population of a village was 8000. There were 250 live births. Find the crude birth rate.
Answer:

Question 3.
The female population of child bearing age groups in a city 1, 60,000. The number of live births in the year in the city is recorded as 2480. Find general fertility rate.
Answer:

Question 4.
The population of a town was 16,000. There were 800 deaths in the year. Calculate crude death rate?
Answer:

Question 5.
In a particular city 3,000 live births occured in a particular year. The number of neonatal deaths was 120. calculate neo-natal mortality rate.
Answer:

Question 6.
In a locality 10,000 live births occurred. The number of infant deaths was 500. Calculate infant mortality rate.
Answer:

Question 7.
In a locality, out of 10,000 live births 90 mothers died due to child birth complications. Calculate maternal mortality rate.
Answer:

Question 8.
From the following data calculate the CBR, GFR and ASFR for the age-group (25-39).

Answer:

Question 9.
Calculate CBR, GFR and ASFR for the age

Answer:

Question 10.
The following table gives the age and sex distribution and the number of live births occurring in a year in a population. Compute CBR, GFR and ASFR.

Answer:

Question 11.
Compute GFR and TFR from the following data

Answer:

Question 12.
Complete GFR and TFR from the following

Answer:

Question 13.
From the following data calculate total fertility rate.

Answer:

Question 14.
Calculate the fertility rate from the following

Answer:

Question 15.
Compute the total fertility rates and compare the fertility of the two communities

Answer:

TFR for community A
TFR = 5 × Σ Quinquennial ASFR = 5 × 624.25 = 3121.25
TFR for community B
TFR = 5 × 567.61 = 2838.05
TFR of Community A’ is more than ‘B’
∴A is more fertile than B

Question 16.
From the following data, calculate TFR’s and compare the fertility of two cities.

Answer:
Calculation of TFR for city A and city B

TFR = 5 × ΣQuinquennial ASFR ⇒ TFR = 5 × 626 = 3,130
TFR = 5 × ΣQuinquennial ASFR ⇒ TFR = 5 × 559 = 2,795
City A is more than City B
City A is more fertile than City B

Question 17.
Calculate the gross reproduction rate from the following data.

Answer:

GRR = 1 × ΣWSFR = 5 × 205.35 = 1026.75,
GRR = \(\frac{1026.75}{1000}\) = 1.026(>1)
The population is increasing.

Question 18.
Calculate net reproduction rate from the data given below.

Answer:

Question 19.
From the data given below, calculate GRR and NRR

Answer:

Question 20.
For the following data, compute the GRR per women, NRR for woman & hence. Comment on the results.

Answer:

Question 21.
From the follwing data, show that Town B is healtheir.

Answer:
Calculation of STDR for Town A & B

Question 22.
Compute standardised death rates for towns A & B. State which town is healthier.

Answer:

Question 23.
Compute CDR and STDR for the following data.

Answer:
Calculation of CDR & STDR.

Question 24.
For the following two villages compute stanadradized death rates and comment.

Answer:

Question 25.
Compute and standardized death rates for town X and Y. State which town is healthier.

Answer:

Question 26.
From the following data calculate the STDR’s for locality A and B. Taking locality A as Standard population.

Answer:

Question 27.
From the following data, calculate CDR and STDR for two cities A and B. Taking locality Bas Standard population.

Answer:

Question 28.
In a life table, if l₁ = 95,400 and l₂ = 93,492, then find survival ratio and mortality ratio of the first year.
Answer:
Mortality ratio = q_x = \(\frac{\mathrm{d}_{\mathrm{x}}}{l_{\mathrm{x}}} \text { or } \frac{\mathrm{d}_{1}}{l_{1}}\)
whered d_x = l_x – l_x-1
d₁ = l₁ – l_x+1
d₁ = 95,400 – 93,492
d₁ = 1,908
Mortality ratio = \(\frac{1,908}{95,400}\) = 0.02
Survival rate =1 – q₁ = 1 – 0.02 = 0.98

Question 29.
In a life table, if l₁ = 95,400,T₁ =61,05,600, then find expectation of life ¡n the first year.
Answer:

Question 30.
From the following data, calculate Crude Birth Rate, General fertility Rate and Age Specific Fertility Rate for the age group (2 5-39).

Answer:

Question 31.
Calculate Crude Birth Rate and General Fertility Rate for the following data.

Answer:

Question 32.
Calculate Total Fertility Rate from the following data

Answer:

Question 33.
From the following data calculate Total Fertility Rate.

Answer:

Question 34.
Compute the gross reproduction rate from the following data

Answer:

Question 35.
Compute the gross reproduction rate from the following data.

Answer:

Question 36.
From the data given below, calculate net reproduction rate.

Answer:

Question 37.
Calculate net reproduction rate from the data given below.

Answer:

Question 38.
Compute Crude death rate and Age specific death rates for the following data.

Answer:

Question 39.
For the following two village two village compute standardized death rates and comment.

Answer:

Question 40.
For the following data calculate standardized death rates, hence find which locally is healthier?

Answer:

Question 41.
From the following data calculate standardized death rates for City A and B.

Answer: