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Free Practice Questions for Kerala Plus Two Statistics (DHSE)

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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 review concepts for the Kerala Plus Two Statistics (DHSE) exam. 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) Exam

Kerala Plus Two Statistics is the Higher Secondary (Class 11–12) statistics subject under the Directorate of Higher Secondary Education (DHSE), Kerala, with syllabus prepared by SCERT. It develops descriptive and inferential foundations: collection and presentation of data; measures of central tendency and dispersion; skewness and kurtosis; correlation and regression; probability and conditional probability; random variables; binomial, Poisson, and normal distributions; sampling techniques; index numbers; and time series basics. The official assessment is a mixed Terminal Evaluation written paper (about 2–2.5 hours as notified) with short and long numerical items, plus Continuous Evaluation and Practical Evaluation as prescribed. Fees and exact schemes are notified by DHSE (hseportal.kerala.gov.in; dhsekerala.gov.in). Pass marks are commonly described as D+ / about 30% aggregate with a separate TE floor. The 100 questions on this page are a free English-language multiple-choice study adaptation with explanations and multi-step calculation practice; they are not a full simulation of the official mixed theory paper or practical exam.

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

Assessment

Official Kerala Higher Secondary Statistics is assessed through Continuous Evaluation (CE), Practical Evaluation (PE) where prescribed, and a mixed written Terminal Evaluation (TE) lasting about 2–2.5 hours as notified. Content follows SCERT Plus One and Plus Two Statistics textbooks (descriptive statistics, central tendency and dispersion, correlation, regression, probability, random variables, binomial/Poisson/normal distributions, sampling, index numbers, and time series basics). English and Malayalam media are typically available. Exact theory–practical splits and attempt rules are as published for the year — confirm circulars on hseportal.kerala.gov.in and dhsekerala.gov.in. This practice bank is an English-language MCQ study adaptation for concept and calculation fluency — it does not simulate official attempt limits, long multi-step written solutions, or practical examinations.

Time Limit

About 2 to 2.5 hours (Terminal Evaluation written paper; cool-off/reading time may apply as notified)

Passing Score

D+ grade or above, commonly described as about 30% aggregate across CE, PE (where applicable), and TE, with at least about 30% in TE separately; verify the current pass criteria for your examination year.

Exam / Certification Fees

As notified by DHSE and paid through higher secondary schools for regular sittings (no single fixed public subject fee for all categories).

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.

~12% of this local bank

Descriptive Statistics & Data Presentation

Definition and scope of statistics; primary vs secondary data; census vs sample; classification and tabulation; bar diagrams, pie charts, histograms, frequency polygons, and ogives.

~12% of this local bank

Measures of Central Tendency

Arithmetic mean (raw/grouped/weighted), median and mode for discrete and continuous series; empirical relation Mean − Mode ≈ 3(Mean − Median).

~10% of this local bank

Dispersion, Skewness & Kurtosis

Range, QD, MD, variance, SD; coefficient of variation for comparison; moment-based skewness and kurtosis ideas.

~10% of this local bank

Correlation Analysis

Types of correlation; Karl Pearson’s r; Spearman’s rank correlation; properties |r| ≤ 1 and interpretation of strength and direction.

~10% of this local bank

Regression Analysis

Lines of regression; byx and bxy; relation r² = byx × bxy; using regression equations for estimation within the observed range.

~12% of this local bank

Probability & Conditional Probability

Sample space and events; classical probability; addition and multiplication theorems; independence; Bayes’ theorem.

~18% of this local bank

Random Variables & Probability Distributions

Discrete/continuous RVs; pmf/pdf ideas; E(X) and Var(X); binomial and Poisson mean/variance and probabilities; normal curve and standard normal z.

~16% of this local bank

Sampling, Index Numbers & Time Series

Sampling methods and sampling error ideas; Laspeyres, Paasche, and Fisher price indices; components of time series (T, S, C, I) and simple trend measures.

Preparing for the Kerala Plus Two Statistics (DHSE) Exam

What You Need to Know

  • Passing score: D+ grade or above, commonly described as about 30% aggregate across CE, PE (where applicable), and TE, with at least about 30% in TE separately; verify the current pass criteria for your examination year.
  • Assessment: Official Kerala Higher Secondary Statistics is assessed through Continuous Evaluation (CE), Practical Evaluation (PE) where prescribed, and a mixed written Terminal Evaluation (TE) lasting about 2–2.5 hours as notified. Content follows SCERT Plus One and Plus Two Statistics textbooks (descriptive statistics, central tendency and dispersion, correlation, regression, probability, random variables, binomial/Poisson/normal distributions, sampling, index numbers, and time series basics). English and Malayalam media are typically available. Exact theory–practical splits and attempt rules are as published for the year — confirm circulars on hseportal.kerala.gov.in and dhsekerala.gov.in. This practice bank is an English-language MCQ study adaptation for concept and calculation fluency — it does not simulate official attempt limits, long multi-step written solutions, or practical examinations.
  • Time limit: About 2 to 2.5 hours (Terminal Evaluation written paper; cool-off/reading time may apply as notified)
  • Exam / certification fees: As notified by DHSE and paid through higher secondary schools for regular sittings (no single fixed public subject fee for all categories). 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

Kerala Plus Two Statistics (DHSE): Suggested Study Strategy

1Practice official DHSE/SCERT Statistics model papers under timed ~2–2.5 h conditions so you can switch from MCQ drills to written multi-step numerical solutions with clear steps.
2For averages and dispersion, write the formula first (mean, median class, SD, CV), substitute carefully, and show intermediate arithmetic — boards award method marks.
3Memorize r² = byx × bxy and that both regression lines pass through (x̄, ȳ); these are high-frequency short-answer facts.
4Build a one-page formula sheet for mean/median/mode, SD, Pearson/Spearman r, regression, binomial/Poisson/normal, Laspeyres/Paasche/Fisher, and time-series components; revise it weekly.
5Do not neglect practical evaluation: computation tables, diagrams, and interpretation contribute marks where PE is prescribed.
6Use English/Malayalam SCERT textbooks as directed by your school; this free bank is an English MCQ adaptation only.

Frequently Asked Questions

Is the official Kerala Plus Two Statistics exam pure multiple-choice?

No. Official DHSE Terminal Evaluation for Statistics is a mixed written paper with short answers and multi-step numericals, plus Continuous Evaluation and Practical Evaluation as notified. This bank is an English-language multiple-choice study adaptation for concepts and calculations only — not an official paper or practical simulation.

What is the mark structure for Kerala Plus Two Statistics?

Each Higher Secondary subject is commonly totalled to 100 marks across TE, CE, and PE (where applicable). Exact theory–practical splits and attempt rules for Statistics follow the year’s DHSE/SCERT scheme — confirm on hseportal.kerala.gov.in and dhsekerala.gov.in.

How long is the Kerala Plus Two Statistics theory paper?

Terminal Evaluation written papers generally last about 2 to 2.5 hours depending on the subject and year, sometimes with cool-off/reading time. Confirm the year’s date sheet and instructions on official DHSE portals.

What is the passing score for DHSE Plus Two Statistics?

Students must typically secure D+ or above with about 30% aggregate across CE, PE (where applicable), and TE, and at least about 30% in TE separately. Always verify the current pass criteria for your examination year.

Which languages is Plus Two Statistics offered in?

English and Malayalam media are commonly available for Kerala Higher Secondary Statistics. This practice bank is written in English for concept and numerical revision.

How much does the Kerala Plus Two Statistics exam cost?

Statistics is not sold as a separate marketplace product. Fees are notified by DHSE and paid through higher secondary schools for regular candidates. Check hseportal.kerala.gov.in or dhsekerala.gov.in for the current fee circular.

What syllabus does this bank follow?

It is aligned to SCERT Kerala Higher Secondary Statistics (Plus One and Plus Two): descriptive statistics; central tendency and dispersion; correlation; regression; probability; random variables; binomial, Poisson, and normal distributions; sampling; index numbers; and time series basics.

Where can I find official model papers and schemes?

Check the HSE portal at https://www.hseportal.kerala.gov.in, DHSE at https://dhsekerala.gov.in, and SCERT/Samagra materials at https://samagra.kite.kerala.gov.in for Statistics schemes, model papers, and textbooks.