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100+ Free CHSE Odisha Elective Statistics Practice Questions

Council of Higher Secondary Education, Odisha (CHSE Odisha) Higher Secondary (+2) Elective Statistics (Arts/Science stream) practice questions are available now; exam metadata is being verified.

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2026 Statistics

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 aligned to official units.

Sample CHSE Odisha Elective Statistics Practice Questions

Try these sample questions to test your CHSE Odisha Elective Statistics exam readiness. 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 Practice Questions

Verified exam format metadata for Council of Higher Secondary Education, Odisha (CHSE Odisha) Higher Secondary (+2) Elective Statistics (Arts/Science stream) is pending. The practice questions above remain available while official exam length, timing, passing score, fee, and administrator details are reviewed.