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Free Practice Questions for Tamil Nadu HSE Second Year Statistics

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Key Facts: Tamil Nadu HSE Second Year Statistics Exam

10:00–1:15

Official March 2026 HSE+2 theory sitting window including reading/verification time (dge.tn.gov.in timetable)

DGE TN HSE+2 March 2026 public examination timetable

35/100

Minimum pass mark per subject under the HSE new pattern, subject to theory/practical floor rules

DGE HSE_E.pdf scheme of examination

3 hours

Approximate theory writing duration after reading and particulars verification in the public exam schedule

DGE TN HSE+2 March 2026 timetable

DGE TN

Administered by the Directorate of Government Examinations, Chennai, for Tamil Nadu State Board Higher Secondary

dge.tn.gov.in

SCERT syllabus

Class 12 Statistics textbooks and syllabus prescribed by SCERT / School Education Department (Samacheer Kalvi)

DGE HSE scheme — syllabus prescribed by SCERT/DSE

English MCQ bank

This practice set is an English-language MCQ study adaptation, not the official mixed written paper

OpenExamPrep practice-content policy

₹150/₹200

School exam fee band for groups without/with practical subjects plus certificate/service charges (concessions apply)

DGE HSE_E.pdf school candidate fee table

March 2026

HSE Second Year public theory examinations scheduled 2–26 March 2026 with practicals 9–14 February 2026

DGE TN official timetable PDF 04.11.2025

Free English MCQ practice for Tamil Nadu HSE +2 Statistics (DGE). Official paper is mixed written theory on the Samacheer Kalvi Class 12 Statistics syllabus — this bank is a study adaptation, not a format simulation.

Sample Tamil Nadu HSE Second Year Statistics Practice Questions

Try these sample questions to review concepts for the Tamil Nadu HSE Second Year Statistics exam. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1In hypothesis testing, the hypothesis that is tested for possible rejection is called the:
A.Null hypothesis
B.Alternative hypothesis
C.Composite hypothesis only
D.Research hypothesis only
Explanation: The null hypothesis (H₀) is the statement tested for possible rejection under the sampling evidence. The alternative (H₁) is accepted only if H₀ is rejected.
2A Type I error occurs when the statistician:
A.Accepts a true alternative hypothesis
B.Rejects a true null hypothesis
C.Accepts a false null hypothesis
D.Rejects a false null hypothesis
Explanation: A Type I error is rejecting H₀ when H₀ is actually true. Its probability is controlled by the significance level α.
3If the level of significance is 5%, then the probability of Type I error is:
A.0.01
B.0.50
C.0.05
D.0.95
Explanation: The level of significance α is the probability of Type I error. At 5% significance, α = 0.05.
4For a large sample, the standard error of the sample mean x̄ when the population SD σ is known is:
A.σ / n
B.s / n
C.σ² / √n
D.σ / √n
Explanation: By the central limit theorem, for large n the sampling distribution of x̄ has SE = σ/√n when σ is known.
5A random sample of size 100 is drawn from a population with σ = 10. The standard error of the sample mean is:
A.1
B.10
C.0.1
D.100
Explanation: SE(x̄) = σ/√n = 10/√100 = 10/10 = 1.
6For testing H₀: μ = μ₀ against H₁: μ ≠ μ₀ using a large sample with known σ, the test statistic is:
A.z = (x̄ − μ₀) · √n
B.z = (x̄ − μ₀) / (σ/√n)
C.z = (x̄ − μ₀) / σ
D.t = (x̄ − μ₀) / (s/√n) only
Explanation: The large-sample z-test for a mean uses z = (x̄ − μ₀)/(σ/√n), which standardizes the sample mean under H₀.
7A sample of 64 observations has mean 52. The population SD is 8. To test H₀: μ = 50 against a two-sided alternative at 5%, the absolute value of z is approximately:
A.1.00
B.4.00
C.2.00
D.0.25
Explanation: z = (52 − 50)/(8/√64) = 2/(8/8) = 2/1 = 2. At 5% two-sided, critical |z| ≈ 1.96, so |z| = 2 is just significant.
8For a large sample proportion test, if n = 400 and p̂ = 0.45 under H₀: P = 0.40, the absolute value of z is approximately:
A.1.25
B.0.50
C.4.00
D.2.04
Explanation: SE under H₀ is √[P(1−P)/n] = √[0.4·0.6/400] = √(0.24/400) = √0.0006 ≈ 0.0245. z = (0.45−0.40)/0.0245 ≈ 2.04.
9When testing the difference of two large-sample means with known σ₁ and σ₂, the SE of (x̄₁ − x̄₂) is:
A.√(σ₁²/n₁ + σ₂²/n₂)
B.σ₁/n₁ + σ₂/n₂
C.√(σ₁² + σ₂²)/(n₁ + n₂)
D.(σ₁ + σ₂)/√(n₁ + n₂)
Explanation: For independent samples, Var(x̄₁ − x̄₂) = σ₁²/n₁ + σ₂²/n₂, so SE = √(σ₁²/n₁ + σ₂²/n₂).
10A critical region of a test is the set of sample outcomes that lead to:
A.Estimation of σ only
B.Rejection of H₀
C.Acceptance of H₀ only
D.No decision
Explanation: The critical (rejection) region consists of those values of the test statistic for which H₀ is rejected at the chosen α.

About the Tamil Nadu HSE Second Year Statistics Exam

Tamil Nadu HSE Second Year Statistics is the Class 12 public examination subject paper in Statistics under DGE Tamil Nadu. It assesses SCERT/Samacheer Kalvi Class 12 learning outcomes covering tests of significance, sampling distributions, correlation, regression, index numbers, time series, and vital statistics. Official assessment is a mixed written theory paper (with practical and internal components where applicable) totaling 100 marks per subject. Use this free English MCQ bank to build concept fluency before the March public exams.

Exam sponsor: Directorate of Government Examinations (DGE), Tamil Nadu. The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Assessment

Official Tamil Nadu HSE Second Year (+2) public examination paper in Statistics, administered by DGE Tamil Nadu. March 2026 theory window: 02.03.2026–26.03.2026; practical window for +2: 09.02.2026–14.02.2026 (official timetable). Each theory sitting runs 10:00 a.m.–1:15 p.m. including question-paper reading and particulars verification (about 3 hours writing after reading). For languages and non-practical subjects: theory is commonly assessed out of 90 marks with a minimum of 25 out of 90, contributing to the 100-mark subject total. Official assessment is mixed written format (short/long/structured items per the year's blueprint), not pure MCQ. Part III subject paper; media typically Tamil+English (ta/en). Syllabus and textbooks are prescribed by SCERT / Director of School Education (Samacheer Kalvi Class 12 Statistics). This site's bank is an English-language multiple-choice study adaptation for concept fluency — not an official translation, format simulation, or substitute for writing, practical, project, or oral evidence.

Time Limit

Official theory sitting 10:00 a.m.–1:15 p.m. (about 3 hours writing after reading/verification) per March 2026 DGE timetable

Passing Score

Minimum 35 out of 100 per subject overall under the new 600-mark HSE pattern (HSE_E.pdf), with additional floors: minimum 25/90 in theory for languages/non-practical subjects. Confirm the current DGE result rules for your candidate category.

Exam / Certification Fees

School candidates: DGE HSE scheme lists examination fee ₹150 for groups without practical subjects, plus Mark Certificate ₹20 and Service Charges ₹5 (Tamil-medium candidates and notified concession categories are often fee-exempt). Private (H) candidates: per-subject fees as notified (scheme text commonly cites subject + registration/mark/service components). Confirm current-session circulars on dge.tn.gov.in — fee tables can be updated by notification.

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.

15%

Tests of Significance – Basic Concepts and Large Sample Tests

Hypothesis testing basics, Type I/II errors, level of significance, and large-sample z-tests for means, proportions, and differences.

12%

Tests Based on Sampling Distributions I

Student's t-tests, chi-square tests for variance and goodness of fit, and related sampling-distribution ideas.

12%

Tests Based on Sampling Distributions II

F-tests for equality of variances, analysis of variance concepts, and further small-sample inference in syllabus scope.

13%

Correlation Analysis

Karl Pearson's correlation, Spearman's rank correlation, properties, and interpretation of association.

13%

Regression Analysis

Regression lines, coefficients, prediction, and the relationship between correlation and regression.

12%

Index Numbers

Price, quantity, and value indices; Laspeyres, Paasche, Fisher, and related constructions and uses.

12%

Time Series

Components of time series, moving averages, trend, seasonal variation, and elementary forecasting ideas.

11%

Vital Statistics

Crude and specific rates, fertility and mortality measures, life-table ideas, and population statistics basics.

Preparing for the Tamil Nadu HSE Second Year Statistics Exam

What You Need to Know

  • Passing score: Minimum 35 out of 100 per subject overall under the new 600-mark HSE pattern (HSE_E.pdf), with additional floors: minimum 25/90 in theory for languages/non-practical subjects. Confirm the current DGE result rules for your candidate category.
  • Assessment: Official Tamil Nadu HSE Second Year (+2) public examination paper in Statistics, administered by DGE Tamil Nadu. March 2026 theory window: 02.03.2026–26.03.2026; practical window for +2: 09.02.2026–14.02.2026 (official timetable). Each theory sitting runs 10:00 a.m.–1:15 p.m. including question-paper reading and particulars verification (about 3 hours writing after reading). For languages and non-practical subjects: theory is commonly assessed out of 90 marks with a minimum of 25 out of 90, contributing to the 100-mark subject total. Official assessment is mixed written format (short/long/structured items per the year's blueprint), not pure MCQ. Part III subject paper; media typically Tamil+English (ta/en). Syllabus and textbooks are prescribed by SCERT / Director of School Education (Samacheer Kalvi Class 12 Statistics). This site's bank is an English-language multiple-choice study adaptation for concept fluency — not an official translation, format simulation, or substitute for writing, practical, project, or oral evidence.
  • Time limit: Official theory sitting 10:00 a.m.–1:15 p.m. (about 3 hours writing after reading/verification) per March 2026 DGE timetable
  • Exam / certification fees: School candidates: DGE HSE scheme lists examination fee ₹150 for groups without practical subjects, plus Mark Certificate ₹20 and Service Charges ₹5 (Tamil-medium candidates and notified concession categories are often fee-exempt). Private (H) candidates: per-subject fees as notified (scheme text commonly cites subject + registration/mark/service components). Confirm current-session circulars on dge.tn.gov.in — fee tables can be updated by notification. 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

Tamil Nadu HSE Second Year Statistics: Suggested Study Strategy

1Study from the current SCERT / Samacheer Kalvi Class 12 Statistics textbooks and the year's model question paper pattern released for DGE public exams.
2Practise both conceptual MCQs and the official long/short answer formats; this bank cannot replace writing or practical skill evidence.
3For calculation-heavy units (z-tests, correlation, regression, index numbers), rework numerical problems with the same formula layout used in textbook examples.
4Use the official timetable to plan revision around your specific Part I / II / III sitting dates.
5After each practice set, log weak topic areas (by unit) and re-read those textbook chapters before retesting.

Frequently Asked Questions

What is the Tamil Nadu HSE Second Year Statistics exam?

It is the official Class 12 (Higher Secondary Second Year / +2) public examination paper in Statistics, conducted by the Directorate of Government Examinations (DGE), Tamil Nadu, under the State Board / Samacheer Kalvi Class 12 Statistics syllabus.

How long is the official theory paper?

The March 2026 timetable schedules each theory sitting from 10:00 a.m. to 1:15 p.m., including question-paper reading and candidate particulars verification before the main writing period.

What is the passing score?

Minimum 35 out of 100 per subject overall under the new 600-mark HSE pattern (HSE_E.pdf), with additional floors: minimum 25/90 in theory for languages/non-practical subjects. Confirm the current DGE result rules for your candidate category.

Is this practice bank the same format as the official paper?

No. Official papers use mixed written formats (and practicals where applicable), typically in Tamil+English for Part III. These 100 questions are an English-language multiple-choice study adaptation for knowledge and judgment practice only.

Where can I find the official timetable and scheme?

Download the public examination timetable and HSE scheme documents from the Directorate of Government Examinations website (dge.tn.gov.in), including the March 2026 HSE+2 timetable PDF and HSE_E.pdf.