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 24
51. When we add the lower and upper class limits and dividing the sum by, the values so obtained are called class____________?
- A. Interval
- B. Histogram
- C. Limits
- D. Marks
Explanation: The class mark is found by adding the lower and upper class limits and dividing by 2: (lower limit + upper limit) / 2. Thus, “marks” completes the term class marks.
Correct answer: Marks52. Data which is not arranged in ascending or descending order is called ___________?
- A. Raw
- B. Cumulative frequency
- C. Group
- D. Arrangement
Explanation: Unsorted observations are called raw data because they have not yet been arranged or grouped. Cumulative frequency and grouped data are organized forms of data.
Correct answer: Raw53. A frequent distribution in which class interval size is not the same is called frequency distribution with ________class interval size?
- A. Open-end
- B. Distribution
- C. Componemt
- D. Unequal
Explanation: When the widths of class intervals differ, the distribution is described as having unequal class intervals. Open-end intervals instead lack one stated boundary, such as “70 and above.”
Correct answer: Unequal54. The median of numbers, 12, 22, 32,__(2n + 1)2 is given by______?
- A. (n2 + 1)
- B. (2n + 1)2
- C. (n + 1)2
- D. (N - 1)2
Explanation: For 2n + 1 ordered observations, the middle observation is in position (2n + 2)/2 = n + 1. If the sequence is 1², 2², 3², …, (2n + 1)², the median is therefore (n + 1)².
Correct answer: (n + 1)255. A distribution is called _____ distribution if it has two modes?
- A. Uni-modal
- B. Bi-model
- C. Tri-modal
- D. None of these
Explanation: A distribution with exactly two modes is called bimodal, because two values occur with the greatest frequency. The option says “bi-model,” but it clearly intends the standard term “bimodal.”
Correct answer: Bi-model56. The frequent value of the data if it exists is called ________________?
- A. Median
- B. Quartiles
- C. Mode
- D. Deciles
Explanation: The mode is the observation with the highest frequency, so it is the frequent value when such a value exists. Median, quartiles, and deciles describe positional locations rather than frequency peaks.
Correct answer: Mode57. Which of the following is not based upon all the observations _________?
- A. A.M.
- B. G.M.
- C. H.M.
- D. Mode
Explanation: The arithmetic, geometric, and harmonic means use every observation in their calculations. The mode depends only on the most frequent value, so it is not necessarily based on all observations.
Correct answer: Mode58. If any value in the data is zero, then which of the following average vanishes ______________?
- A. A.M.
- B. G.M.
- C. Mode
- D. None of these
Explanation: The geometric mean is the nth root of the product of all observations, so any zero makes that product zero and the geometric mean zero. The arithmetic mean and mode do not necessarily vanish when one observation is zero.
Correct answer: G.M.59. The sum of deviations of observations is zero, when deviations are taken from __________?
- A. Mean
- B. Median
- C. Mode
- D. None of these
Explanation: Deviations from the arithmetic mean balance exactly: positive and negative deviations sum to zero. Deviations from the median or mode do not generally have this property.
Correct answer: Mean60. If any value in the data is negative, then it is impossible to calculate _______?
- A. A.M.
- B. Mode
- C. H.M.
- D. G.M.
Explanation: The usual real-valued geometric mean is defined for non-negative observations, so a negative value makes it unavailable under the standard definition. Arithmetic mean and mode can still be calculated, while the harmonic mean mainly fails when a value is zero.
Correct answer: G.M.