Mathematical Statistics MCQs

By: Prof. Dr. Fazal Rehman | 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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