Statistics MCQs for Competitive Exams

MCQS

Statistics MCQs for Competitive Exams

Practice with answers, explanations, and exam-focused revision notes.

397 MCQs Page 37

Topic Notes: Statistics

These notes summarize the key preparation context before you attempt the MCQs. Review the topic focus, then practice the questions below with answers and explanations.

Quick Overview

Welcome to the comprehensive Statistics MCQs preparation hub on MCQsMind. This curated resource is specifically engineered for candidates preparing for Pakistan's competitive examinations, including Central Superior Services (CSS), Provincial Management Services (PMS), Federal Public Service Commission (FPSC), Punjab Public Service Commission (PPSC), Sindh Public Service Commission (SPSC), Khyber Pakhtunkhwa Public Service Commission (KPPSC), Balochistan Public Service Commission (BPSC), National Testing Service (NTS), and university entry tests (MDCAT, ECAT, LAT).

1. High-Yield Focus Areas & Syllabus Coverage

Mastering Statistics requires a systematic approach to key concepts, historical facts, factual data, and problem-solving methodologies. Our editorial team continuously analyzes past exam papers from 2018 to 2026 to ensure that every subcategory and topic set aligned under this hub reflects current exam trends and board preferences.

  • Core Theoretical Concepts: Fundamental definitions, governing laws, constitutional provisions, and subject-specific terminology required for objective screening tests.
  • Factual & Historical Accuracy: Chronological timelines, dates, geographical data, key personalities, and official statistical metrics frequently tested in One-Paper MCQs exams.
  • Applied & Conceptual Questions: Scenario-based questions designed to evaluate critical thinking, quantitative reasoning, and analytical capability under timed conditions.
  • Solved Past Paper Questions: Authenticated multiple-choice questions extracted from previous FPSC, PPSC, NTS, and PMS papers with verified answer keys and detailed explanations.

2. Exam Pattern & Weightage Analysis

In competitive examinations, Statistics plays a crucial role in securing high merit scores. For CSS Preliminary Tests (MPT) and PPSC/FPSC General Ability tests, objective MCQs constitute 100% of the total screening score. Understanding the weightage distribution across subtopics allows candidates to prioritize high-frequency subjects and avoid spending excessive time on low-yield areas.

Examination Body Test Format Negative Marking Recommended Time per MCQ
CSS MPT (FPSC) 200 MCQs (Objective) No 60 Seconds
PPSC One-Paper / PMS 100 MCQs (General Ability) Yes (0.25 Marks) 54 Seconds
NTS / ETEA Screening 100 MCQs (Subject + General) Varies by Agency 60 Seconds

3. Strategic Preparation Methodology

To maximize retention and minimize test-day anxiety, we recommend following the Three-Phase Revision Method:

  1. Phase 1 — Topic-Wise Practice: Select a subcategory below and attempt questions in study mode without time constraints. Read the step-by-step explanation for every question you get wrong.
  2. Phase 2 — Timed Self-Assessment: Transition to our Custom Mock Test Hub and generate timed practice quizzes containing 20 to 50 questions from Statistics. Practice managing your time under 45 seconds per question.
  3. Phase 3 — Weakness Target Drill: Log in to your free account to track incorrect attempts in your personal Mistake Bank. Periodically re-attempt failed questions until achieving 100% accuracy.

4. Quality & Fact-Verification Assurance

All content within this Statistics section is reviewed against standard reference works (including Oxford, Cambridge, and Board textbooks) and official past papers. If you spot an ambiguous question or outdated answer key, use the inline report feature under the question card to alert our editorial team for review within 48 hours.

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361
Given the linear transformation y = bx + c, what is the relationship between the range of y and the range of x?
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362
Calculate the standard normal variable (z-score) given a sample mean of 70, a population mean of 15, and a standard deviation of 20.
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363
According to the empirical rule for a normal distribution, what interval centered around the mean covers approximately 99.7% of the data?
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364
If a dataset of 40 observations has a variance of 50, what will the variance be if every observation is increased by 20?
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365
Which measure of dispersion is considered unsuitable for open-end distributions?
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366
What is the definition of the positive square root of the mean of the squared deviations of observations from their mean?
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367
What term describes the value used to measure the distance between the mean and a random variable in units of standard deviation?
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368
If the standard deviation is divided by the coefficient of variation, what statistical measure is obtained?
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369
Which theorem provides a method to determine the minimum proportion of observations that fall within a specific number of standard deviations from the mean for any distribution?
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370
What is the resulting value when the arithmetic mean is multiplied by the coefficient of variation?
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