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Free Practice Questions for Karnataka II PUC Statistics (KSEAB)

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Key Facts: Karnataka II PUC Statistics (KSEAB) Exam

Code 31

Official subject code for II PUC Statistics

KSEAB / DPUE Statistics blueprint

8 units

Vital stats, indices, time series, interpolation, distributions, inference, SQC, OR

Karnataka II PUC Statistics syllabus

~3 h 15 m

Typical theory duration (often includes reading time)

KSEAB II PUC Statistics model paper logistics

~35%

Commonly reported overall pass threshold (confirm circular)

KSEAB II PUC pass criteria reporting

Mixed + practical

Official format is mixed written theory plus practical work, not pure MCQ

KSEAB II PUC Statistics assessment pattern

English MCQ adaptation

This free local bank is not the official mixed paper format

OpenExamPrep practice policy

KSEAB II PUC Statistics (code 31) is a Class 12 board subject with mixed theory (~3 h 15 m) and practical work as notified. Pass is commonly ~35% overall (~30–35% careful wording) as notified. Fees are paid through colleges. This free 2026 bank is an English MCQ study adaptation — not an official paper simulation.

Sample Karnataka II PUC Statistics (KSEAB) Practice Questions

Try these sample questions to review concepts for the Karnataka II PUC Statistics (KSEAB) exam. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1Vital statistics primarily deals with numerical facts about which of the following?
A.Vital events in a human population such as births, deaths, marriages, and migration
B.Only the market prices of consumer goods over time
C.Quality variation of manufactured industrial products
D.Optimal allocation of scarce resources in operations research
Explanation: Vital statistics (demographic statistics) analyses and interprets numerical data on vital events in human populations—births, deaths, marriages, migration, and related rates used in demography and public health.
2In a closed population (no migration), if P₀ = 100,000, live births B = 1,850 and deaths D = 1,680 in a year, what is the population at the end of the year Pₜ?
A.100,170
B.98,150
C.101,850
D.101,680
Explanation: For a closed population, Pₜ = P₀ + (B − D) = 100,000 + (1,850 − 1,680) = 100,000 + 170 = 100,170.
3In a town, mid-year population was 150,000 and live births during the year were 6,000. The crude birth rate (CBR) per 1,000 is:
A.40
B.25
C.4
D.60
Explanation: CBR = (Number of live births in the year / Mid-year population) × 1,000 = (6,000 / 150,000) × 1,000 = 40.
4If mid-year population is 80,000 and deaths in the year are 960, the crude death rate (CDR) per 1,000 is:
A.12
B.1.2
C.120
D.8
Explanation: CDR = (Deaths / Mid-year population) × 1,000 = (960 / 80,000) × 1,000 = 12.
5Age-specific death rate (ASDR) for an age group is defined as:
A.(Number of deaths in the age group / Mid-year population of that age group) × 1,000
B.(Total deaths in the population / Mid-year population of that age group) × 1,000
C.(Number of deaths in the age group / Total population of all ages) × 1,000
D.(Infant deaths under 1 year / Live births) × 1,000
Explanation: ASDR for an age class uses deaths and mid-year population both restricted to that age group, usually per 1,000.
6In a community there were 6,500 live births in a year and 350 infant deaths (under 1 year). The infant mortality rate (IMR) per 1,000 live births is:
A.53.85 (approx.)
B.18.57
C.350
D.5.38
Explanation: IMR = (Infant deaths under 1 year / Live births in the year) × 1,000 = (350 / 6,500) × 1,000 ≈ 53.85.
7Neonatal mortality rate (NMR) uses which numerator?
A.Deaths of infants within the first 28 days (about one month) of life
B.Deaths of mothers due to childbirth
C.Deaths of all persons under 5 years
D.Stillbirths only
Explanation: NMR is based on neonatal deaths—commonly defined as deaths within the first 28 days (about one month) of life—per 1,000 live births.
8Quinquennial age-specific fertility rates for women of child-bearing age are 25, 60, 70, 40, 20, 12 and 5 (per 1,000). The total fertility rate (TFR) computed as 5 × Σ ASFR is:
A.1,160
B.232
C.116
D.580
Explanation: For 5-year age groups, TFR = 5 × Σ(ASFRs) = 5 × (25+60+70+40+20+12+5) = 5 × 232 = 1,160 (per 1,000 women; often reported as 1.16 children per woman when scaled).
9Which statement correctly distinguishes GRR from NRR?
A.GRR ignores female mortality between birth and end of reproductive life, while NRR adjusts for survival of daughters
B.NRR is always larger than GRR
C.GRR uses male births only, NRR uses female births only
D.Both GRR and NRR are mortality rates, not fertility growth rates
Explanation: Gross reproduction rate (GRR) is based on female births without fully adjusting for mortality of potential mothers through reproductive ages; net reproduction rate (NRR) incorporates survival, so NRR ≤ GRR.
10Given P₀ = 126,305; births B = 24,500; deaths D = 4,050; immigrants I = 8,065; emigrants E = 6,000. The population at the end of the period Pₜ is:
A.148,820
B.142,755
C.154,820
D.134,820
Explanation: Pₜ = P₀ + (B − D) + (I − E) = 126,305 + (24,500 − 4,050) + (8,065 − 6,000) = 126,305 + 20,450 + 2,065 = 148,820.

About the Karnataka II PUC Statistics (KSEAB) Exam

Karnataka II PUC Statistics is the Class 12 Pre-University public examination statistics paper under the Karnataka School Examination and Assessment Board (KSEAB), subject code 31. It assesses the Karnataka II PUC Statistics syllabus: vital statistics (fertility, mortality, growth rates, life tables); index numbers (Laspeyres, Paasche, Fisher, CPI, consistency tests); time series (components, trend by moving averages and least squares); interpolation and extrapolation; theoretical distributions (Bernoulli, binomial, Poisson, hypergeometric, normal, t, χ²); statistical inference (estimation, hypothesis testing, large- and small-sample tests); statistical quality control (X̄, R, np, c charts, acceptance sampling); and operations research (LPP, transportation, games, replacement, EOQ inventory). The official assessment is a mixed theory paper (about 3 hours 15 minutes) with 1-, 2-, 5-, and 10-mark items per blueprint, plus practical work as notified. Fees and exact blueprints are notified by KSEAB / DPUE (kseab.karnataka.gov.in; dpue-exam.karnataka.gov.in). Pass marks are commonly described near ~35% overall with separate floors as notified. The 100 questions on this page are a free English-language multiple-choice study adaptation with explanations and multi-step calculation practice; they are not a full simulation of the official mixed theory paper or practical exam.

Exam sponsor: Karnataka School Examination and Assessment Board (KSEAB). The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Assessment

Official KSEAB II PUC Statistics (code 31) is assessed as a mixed written theory paper lasting about 3 hours 15 minutes (commonly including reading time), with Part-style questions per the 2025–26 KSEAB blueprint (Vital Statistics; Index Numbers; Time Series Analysis; Interpolation and Extrapolation; Theoretical Distributions; Statistical Inference; Statistical Quality Control; Operations Research), plus practical components as notified (DPUE materials describe theory + practical structure for Statistics). English and Kannada media are typically available. Exact theory–practical splits and attempt rules are as published for the year — confirm circulars on kseab.karnataka.gov.in and dpue-exam.karnataka.gov.in. This practice bank is an English-language MCQ study adaptation for concept and calculation fluency — it does not simulate official attempt limits, long multi-step written solutions, or practical examinations.

Time Limit

About 3 hours 15 minutes (theory; often includes 15 minutes reading time)

Passing Score

Commonly reported as about 35% overall in the subject, with separate theory and practical/internal minima as notified for the year (about a 30–35% careful range depending on circular wording); verify the current pass criteria for your examination year.

Exam / Certification Fees

As notified by KSEAB and paid through PU colleges for regular II PUC sittings (no single fixed public subject fee for all categories).

Exam sponsor website

Fees, eligibility, and exam policies can change. Confirm them with the exam sponsor before applying or paying.

Our practice resources: topics covered

We aim to reflect publicly available exam outlines and topic information in our study resources. Coverage, format, and difficulty may differ from the actual exam, and we cannot guarantee that every detail is accurate or current. Confirm exam requirements, fees, and policies with the official exam sponsor.

~12% of this local bank

Vital Statistics

Meaning of demography and vital statistics; census vs registration; CBR, ASFR, GFR, TFR; GRR/NRR; CDR, ASDR, SDR, IMR, NMR, MMR; population equation Pₜ = P₀+(B−D)+(I−E); life-table components.

~13% of this local bank

Index Numbers

Price, quantity, and value indices; simple and weighted construction; Laspeyres, Paasche, Fisher ideal, Marshall–Edgeworth, Dorbish–Bowley, Kelly; TRT and FRT; family-budget and aggregative CPI methods.

~12% of this local bank

Time Series Analysis

Components T, S, C, I; additive vs multiplicative models; trend by graphical, semi-average, moving averages (odd/even centering), and least squares linear/quadratic/exponential; historigram and short-term fluctuations.

~8% of this local bank

Interpolation and Extrapolation

Equal-interval finite differences; binomial expansion and Newton methods; estimating missing values; interpolation within the table vs extrapolation outside the range.

~16% of this local bank

Theoretical Distributions

Bernoulli, binomial, Poisson, and hypergeometric pmfs with mean/variance; fitting and recurrence ideas; normal/SNV, empirical rule; features and uses of χ² and Student’s t.

~14% of this local bank

Statistical Inference

Population/sample, parameter/statistic, sampling distribution, standard error; point and interval estimation; H₀/H₁, Type I/II errors, power, critical regions; large-sample z tests; t, paired t, and χ² tests.

~10% of this local bank

Statistical Quality Control

Chance vs assignable causes; process vs product control; X̄ and R charts, np/d and c charts with 3σ limits; single and double acceptance sampling plans.

~15% of this local bank

Operations Research

LPP formulation and graphical corner-point solutions; balanced/unbalanced transportation with NWCR and matrix minima IBFS; 2-person zero-sum games, saddle point, dominance; replacement; EOQ inventory and lead time.

Preparing for the Karnataka II PUC Statistics (KSEAB) Exam

What You Need to Know

  • Passing score: Commonly reported as about 35% overall in the subject, with separate theory and practical/internal minima as notified for the year (about a 30–35% careful range depending on circular wording); verify the current pass criteria for your examination year.
  • Assessment: Official KSEAB II PUC Statistics (code 31) is assessed as a mixed written theory paper lasting about 3 hours 15 minutes (commonly including reading time), with Part-style questions per the 2025–26 KSEAB blueprint (Vital Statistics; Index Numbers; Time Series Analysis; Interpolation and Extrapolation; Theoretical Distributions; Statistical Inference; Statistical Quality Control; Operations Research), plus practical components as notified (DPUE materials describe theory + practical structure for Statistics). English and Kannada media are typically available. Exact theory–practical splits and attempt rules are as published for the year — confirm circulars on kseab.karnataka.gov.in and dpue-exam.karnataka.gov.in. This practice bank is an English-language MCQ study adaptation for concept and calculation fluency — it does not simulate official attempt limits, long multi-step written solutions, or practical examinations.
  • Time limit: About 3 hours 15 minutes (theory; often includes 15 minutes reading time)
  • Exam / certification fees: As notified by KSEAB and paid through PU colleges for regular II PUC sittings (no single fixed public subject fee for all categories). Official sources

Using Our Practice Resources

  • Work through all 100 available questions
  • Review every answer and explanation
  • Track weak areas and revisit them
  • Use our AI tutor for tough concepts

Karnataka II PUC Statistics (KSEAB): Suggested Study Strategy

1Practice official KSEAB/DPUE Statistics (code 31) model papers under timed ~3 h 15 m conditions so you can switch from MCQ drills to written 2-, 5-, and 10-mark numerical solutions with clear steps.
2For rates and indices, write the formula first (CBR, Laspeyres, Fisher √(L×P), EOQ √(2DS/H)), substitute carefully, and show intermediate arithmetic — boards award method marks.
3Memorize which index uses q₀ vs q₁ (Laspeyres vs Paasche) and that Fisher satisfies TRT and FRT; these are high-frequency short-answer facts.
4Build a one-page formula sheet for vital rates, index formulae, least-squares (ΣX=0), binomial/Poisson/normal, SE, control limits, LPP corners, NWCR, and EOQ; revise it weekly.
5Do not neglect practicals and practical-oriented Section E style problems: computation tables, charts, and interpretation contribute marks.
6Use English/Kannada textbooks as directed by your college; this free bank is an English MCQ adaptation only.

Frequently Asked Questions

Is the official KSEAB II PUC Statistics exam pure multiple-choice?

No. Official KSEAB II PUC Statistics (code 31) is a mixed theory paper with 1-, 2-, 5-, and 10-mark items (including multi-step numericals and practical-oriented questions) plus practical work as notified. This bank is an English-language multiple-choice study adaptation for concepts and calculations only — not an official paper or practical simulation.

What is the mark structure for II PUC Statistics?

Statistics (code 31) follows the year’s KSEAB/DPUE blueprint for mixed theory sections and includes practical components as prescribed for the subject. Confirm the current theory–practical split and attempt rules on kseab.karnataka.gov.in and the DPUE exam portal.

How long is the Karnataka II PUC Statistics theory paper?

Theory is commonly about 3 hours 15 minutes, often including 15 minutes of reading time. Confirm the year’s date sheet and instructions on official board portals.

What is the passing score for KSEAB II PUC Statistics?

II PUC-consistent reporting commonly describes about 35% overall in the subject, with separate theory and practical/internal minima as notified (about a 30–35% careful range depending on circular wording). Always verify the current pass criteria for your examination year.

Which languages is II PUC Statistics offered in?

English and Kannada media are commonly available for Karnataka II PUC Statistics. This practice bank is written in English for concept and numerical revision.

How much does the KSEAB II PUC Statistics exam cost?

Statistics is not sold as a separate marketplace product. Fees are notified by KSEAB and paid through PU colleges for regular candidates. Check kseab.karnataka.gov.in for the current fee circular.

What syllabus does this bank follow?

It is aligned to Karnataka II PUC Statistics (code 31): Vital Statistics; Index Numbers; Time Series Analysis; Interpolation and Extrapolation; Theoretical Distributions; Statistical Inference; Statistical Quality Control; and Operations Research.

Where can I find official model papers and blueprints?

Check KSEAB at https://kseab.karnataka.gov.in and the DPUE exam portal at https://dpue-exam.karnataka.gov.in for Statistics (31) blueprints, model papers, and schemes of evaluation.