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90+ Free WBCHSE HS Statistics Practice Questions

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2026 Statistics

Key Facts: WBCHSE HS Statistics Exam

STAT

Official WBCHSE subject code

https://wbchse.wb.gov.in/subjects/

30%

Minimum pass in theory and practical/project independently

https://wbchse.wb.gov.in/frequently-asked-questions-examination

INR 215

Class XII semester enrolment total (INR 190 to Council)

WBCHSE Memo L/PR/305/2025

bn+en

Non-language elective paper media (Bengali and English)

WBCHSE examination regulations

Sem I–IV

Higher Secondary semester system across Classes XI–XII

https://wbchse.wb.gov.in/annual-working-plan

Master the Class 11 and 12 WBCHSE Statistics syllabus, covering both foundational descriptive statistics and inferential methods. English-language MCQ study adaptation for WBCHSE HS—not an official board paper.

Sample WBCHSE HS Statistics Practice Questions

Try these sample questions to test your WBCHSE HS Statistics exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 90+ question experience with AI tutoring.

1The sum of deviations of a set of observations from their mean is:
A.always positive
B.always negative
C.always zero
D.minimum
Explanation: The algebraic sum of deviations of a set of observations from their arithmetic mean is always zero.
2Which of the following is a measure of relative dispersion?
A.Standard Deviation
B.Variance
C.Coefficient of Variation
D.Mean Deviation
Explanation: The coefficient of variation is a relative measure of dispersion, expressed as a percentage.
3If P(A) = 0.4, P(B) = 0.5, and A and B are mutually exclusive, what is P(A U B)?
A.0.2
B.0.9
C.0.1
D.0.7
Explanation: For mutually exclusive events, P(A U B) = P(A) + P(B).
4In a Binomial distribution, the mean and variance are related as:
A.Mean = Variance
B.Mean < Variance
C.Mean > Variance
D.No specific relation
Explanation: For a Binomial distribution, Mean = np and Variance = npq. Since q < 1, Mean > Variance.
5The standard deviation of a Poisson distribution with parameter lambda is:
A.lambda
B.lambda^2
C.sqrt(lambda)
D.1/lambda
Explanation: For a Poisson distribution, the variance is lambda, so standard deviation is sqrt(lambda).
6The total area under the standard normal curve is:
A.0
B.0.5
C.1
D.Infinity
Explanation: The total area under any probability density curve is always 1.
7A sample is:
A.A part of the population
B.The entire population
C.A measure of dispersion
D.A parameter
Explanation: A sample is a subset of the population selected for study.
8The correlation coefficient r lies between:
A.0 and 1
B.-1 and 1
C.-1 and 0
D.-infinity and infinity
Explanation: The Pearson correlation coefficient ranges from -1 to 1 inclusive.
9Laspeyres' index number uses:
A.Base year quantities as weights
B.Current year quantities as weights
C.Average of base and current year quantities
D.No weights
Explanation: Laspeyres' index uses base year quantities as weights.
10Secular trend in time series refers to:
A.Short term variations
B.Long term smooth and regular movement
C.Cyclical variations
D.Random fluctuations
Explanation: Secular trend refers to the long-term tendency of data.

About the WBCHSE HS Statistics Exam

The WBCHSE Higher Secondary Statistics exam assesses students on fundamental and advanced statistical concepts including probability theory, theoretical distributions, statistical inference, correlation, regression, index numbers, and time series. This OpenExamPrep bank is an English-language four-option MCQ study aid for WBCHSE Higher Secondary; it does not replace official Bengali/English board papers, descriptive answers, or required practical/project/performance evidence.

Assessment

WBCHSE Higher Secondary subject STAT: Semesters I–IV across Classes XI–XII; theory examinations plus practical/project/performance where the syllabus requires them.

Time Limit

As per semester notification (typically 2–3 hours for theory sittings)

Passing Score

30% minimum in theory and in practical/project independently (WBCHSE examination FAQ)

Exam Fee

Semester enrolment fee structure (Council): Sem III/IV student total INR 215 (155 enrolment + 30 processing + 30 convenience), with INR 190 to Council and INR 25 centre grant; supplementary often INR 50/paper. Separately, the public Fees page lists Class XII examination fees (within schedule) about INR 205 lab / INR 195 non-lab / INR 135 special. Confirm the applicable circular for the sitting. (West Bengal Council of Higher Secondary Education (WBCHSE))

WBCHSE HS Statistics Exam Content Outline

core

Section 1: Core Concepts

Detailed review and practice questions covering essential topics for in-wbchse-hs-statistics.

core

Section 2: Core Concepts

Detailed review and practice questions covering essential topics for in-wbchse-hs-statistics.

How to Pass the WBCHSE HS Statistics Exam

What You Need to Know

  • Passing score: 30% minimum in theory and in practical/project independently (WBCHSE examination FAQ)
  • Assessment: WBCHSE Higher Secondary subject STAT: Semesters I–IV across Classes XI–XII; theory examinations plus practical/project/performance where the syllabus requires them.
  • Time limit: As per semester notification (typically 2–3 hours for theory sittings)
  • Exam fee: Semester enrolment fee structure (Council): Sem III/IV student total INR 215 (155 enrolment + 30 processing + 30 convenience), with INR 190 to Council and INR 25 centre grant; supplementary often INR 50/paper. Separately, the public Fees page lists Class XII examination fees (within schedule) about INR 205 lab / INR 195 non-lab / INR 135 special. Confirm the applicable circular for the sitting.

Keys to Passing

  • Complete 500+ practice questions
  • Score 80%+ consistently before scheduling
  • Focus on highest-weighted sections
  • Use our AI tutor for tough concepts

WBCHSE HS Statistics Study Tips from Top Performers

1Practice numerical problems daily to improve speed and accuracy.
2Memorize key formulas and properties of distributions (mean, variance, mgf).
3Understand the assumptions and conditions for using different statistical tests.
4Work through past year question papers to get a sense of the exam pattern.
5Pay attention to units and interpretations of statistical results.
6Review the steps for constructing index numbers and time series components.

Frequently Asked Questions

What is the passing criteria for WBCHSE HS Statistics?

Students must secure at least 30% in theory and in practical/project independently for the mandatory best-of-five subjects (two languages and three electives), per the Council examination FAQ.

Are calculators allowed in the exam?

Scientific (non-programmable) calculators are generally permitted, but students should check the official admit card instructions.

What are the most important topics?

Probability, theoretical distributions, correlation and regression, and applied statistics (index numbers and time series) are heavily weighted.

How should I prepare for the practical exam?

Maintain a neat practical file, practice calculation-heavy problems, and understand the logic behind the formulas used in experiments.

Is the theory paper purely mathematical?

While highly mathematical, it also includes theoretical questions regarding properties of distributions, assumptions of models, and definitions.

Where can I find past papers?

Past papers can be found in WBCHSE test papers (e.g., ABTA, WBTA) or on the official council website.

Are these MCQs identical to the official WBCHSE STAT question paper?

No. Official non-language elective papers are set in Bengali and English under the semester system and may include descriptive and practical/project components. These items are an English MCQ study adaptation only.