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100+ Free Kerala Plus Two Statistics (DHSE) Practice Questions

Kerala Directorate of Higher Secondary Education (DHSE) Plus Two / Higher Secondary Class 11–12 Statistics practice questions are available now; exam metadata is being verified.

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2026 Statistics

Key Facts: Kerala Plus Two Statistics (DHSE) Exam

DHSE Kerala

Administrator of Higher Secondary (Plus Two) Statistics

Directorate of Higher Secondary Education, Kerala

SCERT syllabus

Class 11–12 Statistics textbooks guide content scope

SCERT Kerala / Samagra

~2–2.5 h

Typical Terminal Evaluation written duration range

DHSE subject-wise exam pattern reporting

D+ / ~30%

Common pass wording: grade D+ with ~30% aggregate and TE floor

DHSE Higher Secondary pass criteria reporting

Mixed + CE/PE

Official format is mixed written TE plus CE/PE, not pure MCQ

DHSE Higher Secondary assessment pattern

English MCQ adaptation

This free local bank is not the official mixed paper format

OpenExamPrep practice policy

DHSE Kerala Plus Two Statistics is a Class 11–12 board subject with mixed Terminal Evaluation (~2–2.5 h) plus CE/PE as notified. Pass is commonly D+ / ~30% aggregate with a TE floor as notified. Fees are paid through schools. This free 2026 bank is an English MCQ study adaptation — not an official paper simulation.

Sample Kerala Plus Two Statistics (DHSE) Practice Questions

Try these sample questions to test your Kerala Plus Two Statistics (DHSE) exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1In SCERT Higher Secondary Statistics, statistics is best described as the science of:
A.Only drawing artistic diagrams without numerical analysis
B.Collecting, organising, analysing, interpreting, and presenting numerical data
C.Proving mathematical theorems with no data involvement
D.Recording only qualitative opinions without measurement
Explanation: Statistics deals with quantitative information through systematic collection, organisation, analysis, interpretation, and presentation of data for decision-making.
2Primary data are data that are:
A.Published earlier by another agency and reused without fresh collection
B.Collected by the investigator for the first time for a specific purpose
C.Always fictitious and unsuitable for statistical analysis
D.Restricted only to data collected by the Census of India
Explanation: Primary data are original data gathered first-hand by the investigator for a defined enquiry. Secondary data are already collected by someone else and published or recorded for reuse.
3A frequency distribution is constructed primarily to:
A.Replace all numerical analysis with pure qualitative narrative
B.Eliminate the need for any measure of central tendency
C.Convert continuous variables into constant numbers only
D.Summarise raw data into classes with corresponding frequencies
Explanation: Classification into class intervals with tallied frequencies compresses large raw datasets into a usable frequency distribution for further analysis.
4In a histogram for a continuous frequency distribution, the area of each rectangle is proportional to the:
A.Class mid-point only
B.Number of class intervals
C.Range of the entire series only
D.Class frequency
Explanation: In a correctly drawn histogram, rectangle areas represent frequencies (with height = frequency density when class widths differ).
5Stratified sampling is preferred when the population is:
A.Completely homogeneous with no identifiable subgroups
B.Of size one only
C.Already arranged in a perfect time order only
D.Heterogeneous and can be divided into homogeneous strata
Explanation: Stratified sampling partitions a heterogeneous population into homogeneous strata and samples within each stratum to improve precision and representation.
6Which of the following is a discrete variable?
A.Height of a student measured in centimetres
B.Time taken to run 100 metres
C.Weight of a sack of rice in kilograms
D.Number of students present in a class
Explanation: A discrete variable takes countable values (often integers). Number of students is countable. Height, time, and weight are continuous measurements.
7In a pie diagram, if a component has relative frequency 0.25, the central angle of its sector is:
A.90°
B.45°
C.180°
D.25°
Explanation: Central angle = relative frequency × 360° = 0.25 × 360° = 90°.
8If class intervals are 10–20, 20–30, 30–40 (continuous), the mid-point of the class 20–30 is:
A.20
B.30
C.50
D.25
Explanation: Mid-point = (lower limit + upper limit)/2 = (20 + 30)/2 = 25.
9Systematic sampling selects units at a fixed interval k after a random start, where typically k equals:
A.n/N
B.n only
C.√N only
D.N/n (population size over sample size)
Explanation: Sampling interval k = N/n (approximately). After a random start between 1 and k, every k-th unit is selected.
10Secondary data should be used only after examining their:
A.Reliability, suitability, and adequacy for the present enquiry
B.Colour of the printed report cover only
C.Whether they were never published
D.Whether they contain only qualitative adjectives
Explanation: Before using secondary data, check whether the source is reliable, the definitions match the present purpose (suitability), and the coverage is adequate.

About the Kerala Plus Two Statistics (DHSE) Practice Questions

Verified exam format metadata for Kerala Directorate of Higher Secondary Education (DHSE) Plus Two / Higher Secondary Class 11–12 Statistics is pending. The practice questions above remain available while official exam length, timing, passing score, fee, and administrator details are reviewed.