Mathematical Statistics MCQs

By: Prof. Dr. Fazal Rehman Shamil | Last updated: November 22, 2024

  1. The mean of a dataset is calculated as:
    (A) Sum of all observations divided by the total number of observations
    (B) The middle value of the data
    (C) The most frequent value
    (D) None of these
    Answer: (A) Sum of all observations divided by the total number of observations
  2. The variance of a dataset measures:
    (A) Central tendency
    (B) Spread or dispersion
    (C) Skewness
    (D) None of these
    Answer: (B) Spread or dispersion
  3. The standard deviation is:
    (A) The square root of variance
    (B) The square of variance
    (C) The reciprocal of variance
    (D) None of these
    Answer: (A) The square root of variance
  4. The mode of a dataset is:
    (A) The average value
    (B) The most frequent value
    (C) The middle value
    (D) None of these
    Answer: (B) The most frequent value
  5. A probability density function (PDF) is used to:
    (A) Define discrete probabilities
    (B) Define continuous probabilities
    (C) Measure central tendency
    (D) None of these
    Answer: (B) Define continuous probabilities
  6. A random variable is:
    (A) A fixed number
    (B) A function that assigns outcomes to real numbers
    (C) Always positive
    (D) None of these
    Answer: (B) A function that assigns outcomes to real numbers
  7. The central limit theorem states that:
    (A) The sum of a large number of independent random variables tends toward a normal distribution
    (B) Every dataset is normally distributed
    (C) Variance is always constant
    (D) None of these
    Answer: (A) The sum of a large number of independent random variables tends toward a normal distribution
  8. Skewness measures:
    (A) The central tendency of data
    (B) The asymmetry of the data distribution
    (C) The spread of data
    (D) None of these
    Answer: (B) The asymmetry of the data distribution
  9. A statistic is:
    (A) A numerical summary of a sample
    (B) A numerical summary of a population
    (C) Always equal to the parameter
    (D) None of these
    Answer: (A) A numerical summary of a sample
  10. The covariance between two variables measures:
    (A) The correlation between them
    (B) The joint variability of two variables
    (C) The difference between their means
    (D) None of these
    Answer: (B) The joint variability of two variables

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