In a symmetrical distribution, how are the mean, median and mode related?
Correct answer A. Coincide
Topic / 47 questions
Measures Of Dispersion MCQs
Measures of Dispersion MCQs test how well you understand the spread of data around an average, using range, quartile deviation, mean deviation, variance and standard deviation. They suit statistics students, lecturer test candidates and job-seekers facing quantitative papers. Every question on this page shows its correct answer instantly, so you can check your reasoning as you go.
When the arithmetic mean is greater than the mode, the distribution is?
Correct answer B. Positively skewed
What is the range of the values 5, 5, 5, 5?
Correct answer A. 0
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What is the degree to which numerical data tend to spread around an average value called?
Correct answer B. Dispersion
If y = bx + a, what is the mean deviation of y?
Correct answer D. |b| × M.D. of x
Who introduced a relative measure of skewness?
Correct answer B. Karl Pearson
For grouped data, the range is the difference between?
Correct answer C. Two extreme class boundaries
In a normal distribution, mean deviation is approximately 4/5 of which measure?
Correct answer C. Standard deviation
How is the corrected variance (Sheppard’s correction) defined?
Correct answer B. Variance of data − h²/12
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How does the mean deviation compare with the standard deviation?
Correct answer A. Less than S.D.
The standard deviation and variance are ____ of change of origin. Which word fills the blank?
Correct answer A. Independent
In a normal distribution, what percentage of values fall within x̄ ± σ?
Correct answer A. 68.27%
The first moment about the origin is always equal to the?
Correct answer A. A.M.
When the sums of odd powers of deviations from the mean are zero, what is the distribution called?
Correct answer C. Normal
In a skewed distribution, the mean, median and mode are?
Correct answer B. Different
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The sum of squared deviations is least when deviations are measured from the?
Correct answer B. A.M.
For a normal distribution, mean deviation equals what fraction of the standard deviation?
Correct answer D. 4/5
From which value is the standard deviation always calculated?
Correct answer D. Mean
For 40 observations the variance is 50. If every observation is increased by 20, what is the variance of the new observations?
Correct answer B. 50
What is the second moment about the mean?
Correct answer B. Variance
About Measures Of Dispersion MCQs
This topic covers the main tools statisticians use to describe variability. You will meet questions on the range of a constant data set, why the range is a poor measure for open-ended distributions, and how variance and standard deviation behave under linear change, for example why the standard deviation of y = ax + b equals |a| times that of x. Other items deal with moments about the origin and the mean, the coefficient of variation and the share of values falling within one standard deviation of the mean. These ideas appear regularly in statistics papers for lecturer posts, economics optional subjects and university entrance tests.
Exams that include Measures Of Dispersion MCQs
Pakistan
- PPSC Lecturer tests
- FPSC
- CSS
- NTS
- GAT
India
- UGC NET
- SSC CGL
- State PSC exams
Bangladesh
- BCS
- University admission tests (DU, RU, JU)
- Bank job exams
Frequently asked questions
What are the main measures of dispersion?
The main measures of dispersion are the range, quartile deviation, mean deviation, variance and standard deviation. Relative measures such as the coefficient of variation compare spread between data sets with different units or means. MCQs often ask which measure is most reliable, and the standard deviation is usually the answer because it uses every observation.
Why does adding a constant not change the standard deviation?
Adding the same constant to every value shifts the whole data set without changing the distance between values, so the spread stays the same. Multiplying by a constant does change it: the standard deviation is multiplied by the absolute value of that constant, and the variance by its square. This rule is tested often in dispersion MCQs.
How many Measures of Dispersion MCQs are on MCQs360?
MCQs360 currently has 49 Measures of Dispersion MCQs, each with its correct answer shown instantly. Practice is free and needs no sign-up, so you can work through the full set, revisit questions on variance and moments, and return to the ones you found difficult before a statistics or lecturer test.
Last reviewed October 2026