Free Descriptive Statistics MCQs with Answers
238 Descriptive Statistics MCQs from Statistics, each with the correct answer and a written explanation of why it is correct. Free and unlimited, with no account needed.
Last updated
238 questions · page 10 of 24
91. First movement about mean is always equal to ___________?
- A. S.D.
- B. 1
- C. Zero
- D. None of these
Explanation: The first central moment is the mean of deviations from the mean, and positive and negative deviations cancel exactly. Thus, its value is zero.
Correct answer: Zero92. The standard deviation is affected by the value of every____________?
- A. Relative Dispersion
- B. Observation
- C. Absolute
- D. Items
Explanation: Standard deviation is calculated from the deviations of all observations from their mean, so changing any observation can affect it. This distinguishes it from measures based only on selected values, such as the range.
Correct answer: Observation93. Check the consistency used _____________?
- A. Coefficient of dispersion
- B. Mean coefficient
- C. Coefficient of variance
- D. Q.D.
Explanation: Consistency is commonly compared using the coefficient of variation, calculated as standard deviation divided by the mean, usually multiplied by 100. A lower coefficient of variation indicates greater consistency.
Correct answer: Coefficient of variance94. __________ of the distribution which is measured relative to the distribution known as Normal?
- A. Skewed
- B. Flatness
- C. Normal
- D. Moment
Explanation: Flatness refers to kurtosis, which describes the shape of a distribution relative to the normal distribution. Among the choices, “Flatness” is the intended term.
Correct answer: Flatness95. In symmetrical distribution, the co-efficient of skewness is equal to ______________?
- A. -1
- B. +1
- C. 0
- D. None of these
Explanation: A symmetrical distribution has balanced tails, so its skewness is zero. Values of -1 or +1 indicate negative or positive skewness, not symmetry.
Correct answer: 096. Quartile deviation is not capable of manipulation______________?
- A. Easy
- B. mathematically
- C. Abjectly
- D. Algebraic
Explanation: Quartile deviation depends on the first and third quartiles and is not readily suitable for algebraic manipulation. This is a limitation compared with measures such as standard deviation.
Correct answer: Algebraic97. The measure of relative dispersion is called __________________?
- A. Quartile deviation
- B. Mean dervation
- C. Mean coefficient
- D. Coefficient of quartile Deviation
Explanation: Relative dispersion is expressed as a coefficient, such as the coefficient of quartile deviation, rather than the quartile deviation itself. The latter is an absolute measure in the original units.
Correct answer: Coefficient of quartile Deviation98. Second moment about mean is always equal to _____________?
- A. S.D.
- B. C.V.
- C. Variance
- D. Square
Explanation: The second moment about the mean is the average of squared deviations from the mean, which is the variance. Standard deviation is obtained by taking the square root of variance.
Correct answer: Variance99. which is poor measure of dispersion in open-end distribution ________________?
- A. Quartile- deviation
- B. Semi-inter quartile range
- C. Range
- D. None of these
Explanation: Range depends only on the smallest and largest values, which are unavailable or open-ended in such distributions. Quartile deviation can still be calculated from the central quartiles, making range the poor measure.
Correct answer: Range100. The frequency distribution mean > Median > Mode is called __________?
- A. Negatively
- B. Symmetrical
- C. +vely
- D. One
Explanation: In a positively skewed distribution, the long right tail pulls the mean furthest right, giving mean > median > mode. Negative skewness reverses this order.
Correct answer: +vely