Statistics MCQs for Competitive Exams

MCQS

Statistics MCQs for Competitive Exams

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

362 MCQs Page 5

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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41
For a cumulative distribution function F(x), given that F(-∞) = 0, what is the value of F(∞)?
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42
Which distribution utilizes the formula mn / ((m + n)^2 * (m + n + 1)) to calculate its variance?
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43
For a uniform distribution defined on the interval [a, b] where a = 2.5 and b = 3.5, what is the mean of the distribution?
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44
Which term is commonly used to describe the cumulative distribution function of a random variable?
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45
What is the fundamental property of a probability function regarding its range of values?
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46
What is the theoretical mean deviation of a normal distribution in terms of its standard deviation (σ)?
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47
For a normal distribution with a mean of 65, a standard deviation of 25, and a value (x) of 35, what is the standardized random variable (z-score)?
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48
According to the empirical rule for a normal distribution, what percentage of the data is expected to fall within two standard deviations of the mean (mu ± 2sigma)?
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49
For a normal distribution with a mean (µ) of 241 and a standard deviation (σ) of 2, what is the probability P(X ≥ 235)?
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50
What is the mathematical expression for the probability density function of the standard normal distribution, f(z)?
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