Measures of Dispersion MCQs

Prepare for Measures of Dispersion MCQs with verified questions, past-paper solutions, and conceptual explanations for CSS, PMS, FPSC, PPSC, and NTS examinations.

15 Solved Questions • 12 Mins Practice • Updated for 2026 Competitive Exams
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Measures of Dispersion constitutes an essential examination topic within Mathematics, 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.

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Topic Notes: Measures of Dispersion

Quick Revision 3 min read 16 key points
Section 1 of 4

1 1. Fundamentals of Dispersion

4 points
  • Definition
    Measures of Dispersion: Statistical metrics that quantify the spread, variability, or scatter of data points around a central value, indicating the reliability of the average.
  • Definition
    Absolute Measures: Expressed in the same units as the original data (e.g., Range, Standard Deviation), making them unsuitable for comparing datasets with different units.
  • Definition
    Relative Measures: Unitless ratios (coefficients) used to compare the variability of two or more datasets, regardless of their original units of measurement.
  • Theory
    Sum of Deviations: The sum of deviations of individual observations from their arithmetic mean is always zero, which is why squared deviations are used in variance calculations.
Section 1 / 4
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1
What is the quartile deviation also known as?
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2
Which measure of dispersion is defined as the average of the squared deviations from the mean?
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3
What is the effect on the standard deviation if every observation is multiplied by a positive constant 'c'?
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4
Which measure of dispersion is calculated using all observations in the dataset?
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5
What is the range of the standard deviation?
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6
For a perfectly symmetrical distribution, what is the relationship between the mean, median, and mode?
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7
Which of the following is a relative measure of dispersion?
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8
What is the variance of a constant value 'k'?
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9
Which measure of dispersion is based on the absolute differences from the median?
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10
If every observation in a dataset is increased by a constant value, what happens to the standard deviation?
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Pedagogical Syllabus Blueprint

Measures of Dispersion 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 Measures of Dispersion MCQs consistently constitute a decisive 10% to 25% weightage of the Mathematical Statistics 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 Measures of Dispersion 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.

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