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 7 of 24
61. G.M. are set of 'n' values product of the nth roots of the ______________?
- A. Given value
- B. All +ve, -Ve value
- C. Zero reject
- D. None of these
Explanation: For n observations, the geometric mean is the nth root of their product, written as (x₁x₂⋯xₙ)^(1/n). Thus the intended completion is “given values,” although the option should use the plural form.
Correct answer: Given value62. Average is good if it is easy to ____________?
- A. Change
- B. Capable
- C. Understand
- D. Clear
Explanation: An average is useful only when its value and meaning can be understood readily by the people using it. Ease of change is undesirable because a good average should be stable.
Correct answer: Understand63. G.M. of 2,4,8 is ______?
- A. 6
- B. 4
- C. 14/3
- D. 8
Explanation: The geometric mean is the cube root of the product: (2 × 4 × 8)^(1/3) = 64^(1/3) = 4. Therefore, option b is correct.
Correct answer: 464. Median is always central value even if the data is _______?
- A. Unassigned
- B. Arranged
- C. Continuous
- D. Discrete
Explanation: The median is the middle position only after the observations have been arranged in ascending or descending order. Without ordering, the central observation cannot be identified reliably.
Correct answer: Arranged65. Harmonic mean cannot be calculated if any one of the values in the data is _____________?
- A. Zero
- B. Negative
- C. Positive
- D. All sign
Explanation: The harmonic mean uses reciprocals, as in n divided by the sum of 1/x values. A zero observation would require division by zero, so the harmonic mean cannot then be calculated.
Correct answer: Zero66. Median is _______ than mean is a positive skewed distribution?
- A. Great
- B. lesser
- C. Equal
- D. None of these
Explanation: In a positively skewed distribution, the long right tail pulls the mean above the median. Hence the median is lesser than the mean.
Correct answer: lesser67. The Harmonic Mean of two number is 'a' and 'b' is given by ____________?
- A. a+b/2
- B. 2ab/a+b
- C. √ab
- D. None of these
Explanation: For two values, the harmonic mean is obtained by dividing twice their product by their sum: 2ab/(a+b). This differs from the geometric mean, which is √ab.
Correct answer: 2ab/a+b68. Sum of obsolete deviations from _____ is least?
- A. Mean
- B. Median
- C. Harmonic
- D. Mode
Explanation: The sum of absolute deviations is least when deviations are measured from the median. The mean instead minimizes the sum of squared deviations, so it is the tempting alternative.
Correct answer: Median69. We must arrange the data before calculating _________?
- A. Mean
- B. Median
- C. Mode
- D. G.M.
Explanation: The median depends on the middle position, so the observations must first be arranged in ascending or descending order. Mean and geometric mean do not require arranging the data.
Correct answer: Median70. The mode of the data 2,4,6,6,6,8 is _______________?
- A. 4
- B. 6
- C. 8
- D. 30
Explanation: The mode is the value occurring most frequently. Here, 6 appears three times, more often than any other value.
Correct answer: 6