Variance and Standard Deviation MCQs

Prepare for Variance and Standard Deviation MCQs with verified questions, past-paper solutions, and conceptual explanations for CSS, PMS, FPSC, PPSC, and NTS examinations.

30 Solved Questions • 23 Mins Practice • Updated for 2026 Competitive Exams
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Variance and Standard Deviation constitutes an essential examination topic within Finance, evaluating theoretical principles, historical context, and practical problem-solving applications. On MCQsMind, candidates practice verified past-paper solutions, conceptual breakdowns, and syllabus-aligned questions tailored for CSS, PMS, and competitive screening examinations.

Welcome to the verified preparation module for Risk and Return on McqsMind. This comprehensive set offers solved multiple-choice questions with answers, detailed explanations, and authentic past-paper style questions aligned with the latest syllabus of Risk and Return (Finance).

100% Verified Answer Keys CSS, PMS, FPSC, PPSC, NTS Ready 2026/2027 Syllabus Guidelines

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Topic Notes: Variance and Standard Deviation

Quick Revision 2 min read 14 key points
Section 1 of 4

1 1. Fundamental Concepts of Dispersion

4 points
  • Definition
    Variance: A statistical measure representing the average squared deviation of individual returns from the expected return, serving as a primary indicator of total investment risk.
  • Definition
    Standard Deviation (σ): The square root of variance, expressing risk in the same units as the expected return, making it the most intuitive metric for quantifying return volatility.
  • Theory
    Probability Distribution: A set of possible outcomes and their associated probabilities; a tighter distribution indicates lower dispersion and thus lower risk for the investor.
  • Theory
    Peakedness: A distribution that is more peaked around the mean indicates a higher concentration of outcomes near the expected return, signifying lower overall risk.
Section 1 / 4
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1
If all data points lie exactly on a regression line, what is the degree of dispersion?
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2
In a normal probability distribution, what range encompasses approximately 95.46% of the data points?
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3
In a normal probability distribution, what range encompasses 68.26% of the data points?
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4
How is the standard error calculated for a sample of 100 students' exam results with a known standard deviation of 14?
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5
In the context of probability distributions, what does a tighter distribution imply regarding its standard deviation?
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6
In a normal distribution, what range covers approximately 99.74% of the probability distribution?
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7
Total risk is defined as the sum of market risk and diversifiable risk; which statistical measure represents this total risk?
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8
How is the standard deviation of a tighter probability distribution characterized in financial risk analysis?
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9
Given a standard deviation of 18% and an expected return of 15.5%, what is the coefficient of variation?
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10
Which statistical metric is calculated using the formula: 1 – (unexplained variation / total variation)?
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Pedagogical Syllabus Blueprint

Variance and Standard Deviation MCQs: Preparation Strategy & Exam Blueprint

Examination Weightage & Commission Distribution

In Pakistan's premier competitive examinations—including the Federal Public Service Commission (FPSC General Recruitment & CSS MPT), Punjab Public Service Commission (PPSC Lecturer, Tehsildar & PMS Screening), KPPSC, SPSC, and BPSC—questions derived from Variance and Standard Deviation MCQs consistently constitute a decisive 10% to 25% weightage of the Risk and Return paper. Testing agencies frequently evaluate both foundational factual recall and deeper analytical comprehension, requiring aspirants to master key dates, statutory articles, constitutional clauses, and thematic definitions.

High-Yield Conceptual Pillars & Distractor Analysis

Historical trend analysis across past five-year examination cycles demonstrates that examiner traps frequently involve closely matched numerical alternatives, chronologically contiguous treaties, and semantic subtleties in statutory phraseology. When preparing Variance and Standard Deviation MCQs, candidates must deliberately review the underlying rationale provided for every question rather than merely memorizing raw answer options. Understanding why incorrect distractors fail is the most reliable predictor of achieving top percentiles in computerized and optical mark recognition (OMR) screening tests.

Negative Marking Mitigation & Time Management Protocol

For examinations enforcing negative marking penalties (such as PPSC's 0.25-mark deduction per erroneous response or NTS gatekeeper quotas), an aggressive elimination technique must be deployed. Candidates should systematically rule out improbable options first to elevate probability thresholds from 25% to 50% or 100%. Allocating an average of 45 to 60 seconds per item during mock trials builds the psychological stamina and cognitive precision required to complete 100-question papers within official 90-minute time limits.

Recommended Reference Sources & Statutory Reading

To achieve definitive conceptual mastery in Finance, candidates are advised to cross-reference our solved explanations with primary gazettes, statutory texts, and canonical academic textbooks. Verifying controversial questions against authentic official repositories guarantees that prospective civil servants and professional candidates present incontestable answers during both optical paper evaluations and viva voce departmental interviews.