Free Practice Questions for CHSE Odisha Elective Statistics

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Key Facts: CHSE Odisha Elective Statistics Exam

200 marks

Elective Statistics total: Y1 (70 theory + 30 practical) + Y2 (70 theory + 30 practical)

CHSE Odisha Arts/Science Courses of Studies (Statistics)

70 + 30

Each year splits theory and practical (unlike pure-theory Mathematics)

CHSE Odisha Statistics (2016–17 batch onwards) scheme

5 units/year

Theory units each year (basic math/probability/methods Y1; correlation–indices Y2)

CHSE Odisha Statistics detailed syllabus

3 hours

Typical duration for each theory paper and each practical paper

CHSE Odisha Statistics exam pattern

In AHSE fee

No separate elective marketplace fee; included in session exam fee

CHSE Odisha AHSE fee structure via colleges

CHSE Odisha Elective Statistics is a +2 elective (200 marks: 70+30 each year for theory and practical). Official papers mix objective and constructed-response items plus practical problems—not a pure MCQ board paper. This free 2026 bank is a calculation-heavy English MCQ study adaptation covering topics from official units.

Sample CHSE Odisha Elective Statistics Practice Questions

Try these sample questions to review concepts for the CHSE Odisha Elective Statistics exam. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1Using the fundamental principle of counting, the number of 2-digit numbers that can be formed from the digits 1, 2, 3, 4 if repetition is not allowed is:

A.12

B.16

C.8

D.4

Explanation: First digit: 4 choices; second digit: 3 remaining choices ⇒ 4×3 = 12. This is the fundamental principle of counting (ordered selections without repetition).

2The value of 5! is:

A.120

B.60

C.24

D.720

Explanation: 5! = 5×4×3×2×1 = 120. Factorial n (n!) is defined for positive integers as the product 1×2×…×n.

3The number of ways to choose 2 students from 5 distinct students (order does not matter) is C(5,2) =

A.10

B.20

C.5

D.25

Explanation: C(5,2) = 5!/(2!3!) = (5×4)/(2×1) = 10. Combinations count unordered selections.

4The number of ways to arrange 3 distinct books on a shelf is P(3,3) =

A.6

B.3

C.9

D.1

Explanation: P(3,3) = 3! = 6. Permutations of n distinct objects taken all at a time equal n!.

5In the binomial expansion of (a+b)^n for positive integer n, the general term T_{r+1} is:

A.C(n,r) a^{n-r} b^r

B.C(n,r) a^r b^{n-r} only always with a last

C.n! a^n b^n

D.a^n + b^n only

Explanation: The binomial theorem gives (a+b)^n = Σ C(n,r) a^{n-r} b^r for r = 0 to n; T_{r+1} = C(n,r) a^{n-r} b^r.

6The middle term(s) of (x+y)^6 occur at which position(s) in the expansion (terms numbered from r=0)?

A.The single middle term T_4 (r=3), since n=6 is even so there is one middle term

B.There are always two middle terms when n is even

C.Only the first term is middle

D.Only the last term is middle

Explanation: For even n=2m, there is one middle term T_{m+1}. Here n=6=2×3 so one middle term T_4 with r=3. (If n is odd there are two middle terms.)

7The constant term in the expansion of (x + 1/x)^4 is:

A.6

B.4

C.1

D.0

Explanation: T_{r+1} = C(4,r) x^{4-r} (1/x)^r = C(4,r) x^{4-2r}. Set 4−2r=0 ⇒ r=2. Constant = C(4,2)=6.

8Which series expansion is associated with e^x near x=0 in the CHSE basic mathematics unit?

A.e^x = 1 + x + x²/2! + x³/3! + …

B.e^x = 1 − x + x² − x³ + … only always

C.e^x = x only

D.e^x = log x

Explanation: The exponential series is e^x = Σ x^n/n! = 1 + x + x²/2! + x³/3! + …. Logarithmic series is a separate related topic.

9Under the classical definition of probability, if a fair die is rolled once, P(getting a 4) equals:

A.1/6

B.1/4

C.1/2

D.4/6

Explanation: Classical probability = (number of favourable outcomes)/(total equally likely outcomes) = 1/6.

10Which approach defines probability as the long-run relative frequency of an event?

A.Empirical (statistical / relative frequency) approach

B.Only the classical counting approach

C.Only subjective personal belief with no data

D.Only axiomatic Kolmogorov axioms without interpretation

Explanation: The empirical (statistical) definition takes probability as the limiting relative frequency of the event in repeated trials.

About the CHSE Odisha Elective Statistics Exam

Odisha CHSE Higher Secondary Elective Statistics follows the Arts and Science Courses of Studies (2016–17 batch onwards, aligned unit map): Year 1 covers basic counting and binomial mathematics, probability definitions and laws, random variables and expectation, data collection/presentation, and measures of central tendency, dispersion, moments, skewness and kurtosis, with a 30-mark practical on diagrams and descriptive calculations. Year 2 covers least squares and bivariate methods, correlation and regression, Bernoulli/binomial/Poisson/normal distributions and large-sample tests, finite population sampling and stratified allocation, time-series trend and seasonality, and index numbers (Laspeyres, Paasche, Fisher, cost of living), with a 30-mark practical on trend, seasonality, indices, correlation and regression. Electives total 200 marks; the Council Year-2 theory and practical count toward the pass certificate.

Exam sponsor: Council of Higher Secondary Education, Odisha (CHSE Odisha). The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Assessment

CHSE Odisha Higher Secondary Elective Statistics carries 200 marks: Year 1 Theory 70 + Practical 30 and Year 2 Theory 70 + Practical 30 (each paper typically about 3 hours). Theory pattern: Group A objective/very short (compulsory), Group B short answers (8 of 12), Group C long answers (3 of 5, one question set from each unit). Practical awards problem solving, record, and viva. Year-1 units cover basic mathematics, probability I–II, and statistical methods I–II; Year-2 units cover correlation/regression/least squares, probability distributions and large-sample tests, sampling methods, time series, and index numbers. This free bank is an English MCQ study adaptation—not a full long-answer or practical simulation.

Time Limit

3 hours (per theory paper); 3 hours (per practical paper)

Passing Score

~30% minimum in theory/practical as per current AHSE circular (confirm official notification)

Exam / Certification Fees

Included in the CHSE Odisha AHSE examination fee for the session (collected through the affiliated college/H.S. school; no separate public per-elective marketplace fee).

Exam sponsor website

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

Official sources

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.

~18% of this local bank

Basic Mathematics & Probability I–II

Counting, P&C, binomial theorem; probability laws; RV expectation and variance.

~24% of this local bank

Data Presentation & Descriptive Stats

Primary/secondary data, diagrams; mean/median/mode; dispersion; moments, skewness, kurtosis.

~26% of this local bank

Correlation, Regression & Distributions

Least squares, r, regression; binomial/Poisson/normal; hypothesis testing ideas.

~22% of this local bank

Sampling, Time Series & Index Numbers

SRS/stratified sampling; trend and seasonal methods; Laspeyres/Paasche/Fisher/CLI.

~10% of this local bank

Cross-cutting calculation skills

Numeric drills spanning Y1–Y2 formulas used in both theory and practical papers.

Preparing for the CHSE Odisha Elective Statistics Exam

What You Need to Know

Passing score: ~30% minimum in theory/practical as per current AHSE circular (confirm official notification)
Assessment: CHSE Odisha Higher Secondary Elective Statistics carries 200 marks: Year 1 Theory 70 + Practical 30 and Year 2 Theory 70 + Practical 30 (each paper typically about 3 hours). Theory pattern: Group A objective/very short (compulsory), Group B short answers (8 of 12), Group C long answers (3 of 5, one question set from each unit). Practical awards problem solving, record, and viva. Year-1 units cover basic mathematics, probability I–II, and statistical methods I–II; Year-2 units cover correlation/regression/least squares, probability distributions and large-sample tests, sampling methods, time series, and index numbers. This free bank is an English MCQ study adaptation—not a full long-answer or practical simulation.
Time limit: 3 hours (per theory paper); 3 hours (per practical paper)
Exam / certification fees: Included in the CHSE Odisha AHSE examination fee for the session (collected through the affiliated college/H.S. school; no separate public per-elective marketplace fee). Official sources

Using Our Practice Resources

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CHSE Odisha Elective Statistics: Suggested Study Strategy

1Balance theory formulas with practical record skills—diagrams, SD, correlation, regression, indices, and trend/seasonal methods all appear in practicals.

2Drill AM, median, mode, SD, and CV with clean data sets until arithmetic is automatic.

3Link correlation r to regression slopes: b_yx = r σ_y/σ_x and b_yx·b_xy = r².

4Memorise binomial np/npq and Poisson mean=variance=λ before AHSE.

5For index numbers, lock Laspeyres (base q₀), Paasche (current q₁), Fisher √(L×P).

6Use Bureau's Higher Secondary (+2) Statistics Part-I/II and current circulars from chseodisha.nic.in.

Frequently Asked Questions

How is CHSE Odisha Higher Secondary Elective Statistics examined?

Elective Statistics carries 200 marks: each year has Theory 70 marks and Practical 30 marks (about 3 hours each). Year-1 assessment is at college level; Year-2 Council AHSE theory and practical count toward the pass certificate. Theory mixes compulsory objective/very short items, short answers (8 of 12), and long answers (3 of 5). Practical includes problem solving, record, and viva.

What does Year 1 Statistics cover?

Year 1 theory units: (I) Basic mathematics (counting, factorial, permutations/combinations, binomial theorem, log/exponential series), (II–III) Probability theory (definitions, laws, conditional probability, independence, random variables, expectation, variance), (IV–V) Statistical methods (data collection/presentation; central tendency, dispersion, moments, skewness, kurtosis). Practical emphasises diagrams and descriptive calculations.

What does Year 2 Statistics cover?

Year 2 theory units: (I) Curve fitting, correlation, rank correlation, linear regression, (II) Bernoulli, binomial, Poisson, normal distributions and large-sample tests, (III) Sampling methods (SRS, stratified sampling, allocation), (IV) Time series (trend and seasonal measurement), (V) Index numbers (Laspeyres, Paasche, Fisher, tests, cost of living). Practical covers trend, seasonality, indices, correlation and regression.

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

No. Official papers mix objective and constructed-response mathematical/statistical solutions plus a separate practical exam. This bank is an English-language multiple-choice study adaptation for concept and calculation revision—not an official blueprint replica.

Does Elective Statistics include a practical exam?

Yes. Unlike Elective Mathematics (pure theory 100 marks), Statistics awards 30 practical marks each year (problem solving, record, viva) alongside 70 theory marks.

What does the exam cost?

Examination charges are included in the CHSE Odisha AHSE fee structure notified for the session and collected through the affiliated college/H.S. school—no separate public per-elective marketplace fee.

Free Practice Questions for CHSE Odisha Elective Statistics

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