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.

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238 questions · page 6 of 12

  • A. 50
  • B. 70
  • C. 50/20
  • D. 50-20=30

Explanation: Adding the same constant to every observation shifts the distribution without changing its spread.

Correct answer: 50
  • A. Mean
  • B. Median
  • C. Mode
  • D. G.M.

Explanation: Standard deviation is conventionally calculated as the square root of the mean squared deviations from the arithmetic mean.

Correct answer: Mean
  • A. A.M.
  • B. Median
  • C. Mode
  • D. G.M.

Explanation: The arithmetic mean minimizes the sum of squared deviations because the cross-product term vanishes when deviations are taken from the…

Correct answer: A.M.
  • A. Identical
  • B. Different
  • C. Zero
  • D. None of theseDownload Reference Apps

Explanation: In a skewed distribution, the mean, median, and mode generally do not coincide, although their relative positions indicate the direction…

Correct answer: Different
  • A. 49.45%
  • B. 95.45%
  • C. 68.27%
  • D. 99.73%

Explanation: For a normal distribution, the interval from the mean minus one standard deviation to the mean plus one standard deviation contains about…

Correct answer: 68.27%
  • A. Multiplied
  • B. Variance
  • C. Change
  • D. Independent

Explanation: Changing the origin by adding or subtracting a constant does not change deviations from the centre, so neither variance nor standard…

Correct answer: Independent
  • A. Two extreme class boundaries
  • B. Two extreme class frequency
  • C. Two extreme class limits
  • D. None of these

Explanation: For grouped data, the range is estimated as the upper boundary of the highest class minus the lower boundary of the lowest class.

Correct answer: Two extreme class boundaries
  • A. Rowely
  • B. Lack
  • C. Karl Person
  • D. Mode

Explanation: Karl Pearson introduced a widely used relative measure of skewness, calculated from the relationship among the mean, mode and standard…

Correct answer: Karl Person
  • A. Range
  • B. variance
  • C. Minimum
  • D. Dispersion

Explanation: Dispersion describes the extent to which observations spread around a central value.

Correct answer: Dispersion
  • A. 0
  • B. 5
  • C. 25
  • D. None of these

Explanation: Range equals the largest observation minus the smallest observation. Since both are 5, the range is 5 − 5 = 0.

Correct answer: 0
  • A. +vely
  • B. Skewness
  • C. Negatively
  • D. zero

Explanation: When the arithmetic mean exceeds the mode, the distribution is conventionally positively skewed, with a longer tail toward larger values.

Correct answer: +vely
  • A. Positive
  • B. Greater
  • C. Less than
  • D. Coincide

Explanation: In a perfectly symmetrical, unimodal distribution, the centre is the same whether measured by mean, median or mode.

Correct answer: Coincide
  • A. Independent
  • B. Associated
  • C. Dis-associated
  • D. None of these

Explanation: The expected frequency under independence is (A)(B)/n. If the observed joint frequency (AB) is greater than this expected value, the…

Correct answer: Associated
  • A. 3
  • B. (2)
  • C. 1
  • D. D

Explanation: The joint frequency (A B C) involves three attributes together, so it is a frequency of order 3.

Correct answer: 3
  • A. Less than observed
  • B. Greater than observed
  • C. Equal to observed
  • D. None of these

Explanation: When the observed joint frequency exceeds the expected frequency under independence, the attributes show positive association.

Correct answer: Less than observed
  • A. Disassociation
  • B. In consistent
  • C. Associated
  • D. None of these

Explanation: Attributes are called associated when they show a relationship or occur together more or less often than expected under independence.

Correct answer: Associated
  • A. Constant
  • B. Discreade
  • C. Variable
  • D. Continuous

Explanation: Richness describes a qualitative attribute or degree of a quality, rather than a numerical variable in this classification.

Correct answer: Variable
  • A. γyx
  • B. -γyx
  • C. γx
  • D. γo2

Explanation: The coefficient of association is symmetric with respect to the two attributes, so interchanging X and Y does not change it.

Correct answer: γyx
  • A. Random table
  • B. Contingency table
  • C. Dichotomy table
  • D. Chi-square table

Explanation: A contingency table classifies observations according to two attributes and displays their joint frequencies.

Correct answer: Contingency table
  • A. Continuous data
  • B. Random
  • C. Discrete data
  • D. Non of these

Explanation: Time can take fractional values such as 39.6 seconds or 40.25 seconds, so race time is continuous data rather than discrete data.

Correct answer: Continuous data