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 9 of 12
- A. Symmetrical
- B. Normal
- C. Positively Skewed
- D. Negatively Skewed
Explanation: In a positively skewed unimodal distribution, the long right tail pulls the mean to the right of the mode.
Correct answer: Positively Skewed- A. Symmetrical
- B. Skewed
- C. All of above
- D. None of these
Explanation: A symmetrical distribution has equal balancing tails, giving a skewness coefficient of zero.
Correct answer: Symmetrical- A. Standard Deviation
- B. Variance
- C. Coefficient of Variation
- D. None of these
Explanation: The second central moment is the average squared deviation from the mean, which is the variance. Standard deviation is its square root.
Correct answer: Variance- A. Range
- B. Standard Deviation
- C. Coefficient of Variation
- D. Mean Deviation
Explanation: The coefficient of variation compares standard deviation with the mean, usually as a percentage, so it is suitable for data measured in…
Correct answer: Coefficient of Variation- A. 0
- B. 2.58
- C. 5
- D. 4.66
- E. 2.33
Explanation: Adding 2 to every observation changes the mean but not the deviations from the mean, so the standard deviation remains 2.58.
Correct answer: 2.58- A. Always
- B. Sometimes
- C. Never
- D. None of these
Explanation: Standard deviation is based on deviations from the arithmetic mean, not the harmonic mean.
Correct answer: Never- A. a±bVar(X)
- B. Var(a)±Var(X)
- C. ±bVar(X)
- D. b2Var(X)
- E. (a±b)Var(X)
Explanation: Adding the constant a shifts every value but does not change spread, while multiplying by b multiplies variance by b².
Correct answer: b2Var(X)- A. Zero
- B. Maximum
- C. Least
- D. None
Explanation: The arithmetic mean is the value that minimizes the sum of squared deviations.
Correct answer: Least- A. Origin
- B. Scale
- C. Algebraic Signs
- D. None
Explanation: Changing the origin adds or subtracts a constant and leaves spread unchanged, but changing the scale multiplies dispersion measures.
Correct answer: Scale- A. Maximum
- B. Zero
- C. Minimum
- D. Undefined
Explanation: Positive and negative deviations from the arithmetic mean balance each other exactly. Therefore, their algebraic sum is zero.
Correct answer: Zero- A. Descriptive statistics
- B. Inferential Statistics
- C. Parameter
- D. Population
Explanation: The five classmates form a sample, and the statement extends their average height to all university or college students.
Correct answer: Inferential Statistics172. Which one of the following measurement does not divide a set of observations into equal parts ?
- A. Quartiles
- B. Standard Deviations
- C. Percentiles
- D. Deciles
- E. Median
Explanation: Quartiles, deciles, percentiles, and the median are positional measures that divide ordered data into specified parts.
Correct answer: Standard Deviations- A. Arithmetic Mean
- B. Geometric Mean
- C. Harmonic Mean
- D. Weighted Mean
- E. Mode
Explanation: The mode is determined by the most frequent value, so it does not require every observation in the calculation.
Correct answer: Mode- A. Qualitative data
- B. Categorical data
- C. Continuous data
- D. Discrete data
Explanation: Height is continuous because it can take any value within a range, including fractional inches such as 60.2 or 60.25.
Correct answer: Continuous data- A. Standard Deviation
- B. Variance
- C. Coefficient of Variation
- D. None of these
Explanation: The coefficient of variation is relative because it expresses standard deviation in relation to the mean, usually as a percentage.
Correct answer: Coefficient of Variation- A. The Range
- B. 50th Percentile
- C. Inter-Quartile Range
- D. Variance
Explanation: The 50th percentile is the median, a measure of central tendency rather than dispersion.
Correct answer: 50th Percentile- A. Collecting information from elements
- B. Making mathematical calculations
- C. Drawing graphs and pictures
- D. None of the above
Explanation: Conducting a survey involves collecting information from selected elements or respondents according to a planned method.
Correct answer: Collecting information from elements- A. Advanced Statistics
- B. Probability Statistics
- C. Inferential Statistics
- D. Descriptive Statistics
- E. Bayesian Statistics
Explanation: Descriptive statistics organizes, summarizes, and presents observed data using tables, graphs, and numerical measures.
Correct answer: Descriptive Statistics- A. Grouped data
- B. Ungrouped data
- C. Secondary data
- D. Primary data
- E. Arrayed data
Explanation: Census information is collected firsthand by surveying every unit of the population, so it is classified as primary data.
Correct answer: Primary data- A. The description of decision making process
- B. The methods for organizing, displaying, and describing data
- C. How to describe the probability distribution
- D. None of the above
Explanation: Descriptive statistics organizes, presents, and summarizes observed data using methods such as tables, graphs, averages, and measures of…
Correct answer: The methods for organizing, displaying, and describing data