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 23 of 24

221. The most repeated (popular) value in a data set is called___________?

Moderate
  • A. Median
  • B. Mean
  • C. Mode
  • D. Geometric Mean
  • E. Harmonic Mean

Explanation: The mode is the value occurring most frequently in a data set. The median is the middle value and the mean is an arithmetic average, so neither means most repeated.

Correct answer: Mode

222. If any of the value in data set is negative then it is impossible to compute:_____________?

Moderate
  • A. Arithmetic Mean
  • B. Harmonic Mean
  • C. Geometric Mean
  • D. Mode
  • E. Median

Explanation: The ordinary geometric mean is defined for positive observations because it is based on products and equivalent logarithms. A negative observation therefore makes this standard measure unusable, whereas arithmetic mean, median, and mode can still be found.

Correct answer: Geometric Mean

223. Arithmetic Mean is___________affected by extreme values?

Moderate
  • A. Not
  • B. Highly
  • C. Less
  • D. None of these

Explanation: Arithmetic mean uses every value, so an unusually large or small observation pulls the mean toward itself. This makes the arithmetic mean highly affected by extreme values compared with the median.

Correct answer: Highly

224. The sum of values divided by their number is called___________?

Moderate
  • A. Median
  • B. Harmonic Mean
  • C. Mean
  • D. Mode
  • E. None of these

Explanation: The arithmetic mean is obtained by adding all observations and dividing their sum by the number of observations. In this question, the general term mean refers to this ordinary arithmetic average.

Correct answer: Mean

225. Variance is always calculated from___________?

Moderate
  • A. Mean
  • B. Variance
  • C. Geometric Mean
  • D. Median
  • E. Mode

Explanation: Variance measures the average of squared deviations from the arithmetic mean, so the mean is the reference point in its calculation. Using the median or mode would produce a different measure rather than the usual variance.

Correct answer: Mean

226. The sum of squares of deviation is least if measure from__________?

Moderate
  • A. Mean
  • B. Mode
  • C. Median
  • D. Variance

Explanation: The sum of squared deviations is minimized when deviations are measured from the arithmetic mean. This property distinguishes the mean from the median and mode; variance is itself a measure based on these deviations, not a central value.

Correct answer: Mean

227. In Statistics, a population consists of:_____________?

Moderate
  • A. All People living in a country
  • B. All People living in the are under study
  • C. All subjects or objects whose characteristics are being studied
  • D. None of the above

Explanation: A population is the complete set of subjects or objects whose characteristics are being investigated. It need not consist only of people, and it may be finite or infinite.

Correct answer: All subjects or objects whose characteristics are being studied

228. The Number of road accidents is the example of____________?

Moderate
  • A. variable
  • B. Constant
  • C. Discrete variable
  • D. Continuous variable

Explanation: Road accidents are counted in whole numbers such as 0, 1, or 2, so their number is a discrete variable. A continuous variable can take any value within an interval, such as height or temperature.

Correct answer: Discrete variable

229. Statistics has handicap dealing with_____________?

Moderate
  • A. Constant
  • B. Variable
  • C. Quantitative data
  • D. Qualitative data

Explanation: Traditional statistical methods are mainly designed for quantitative data, so statistics has difficulty handling purely qualitative characteristics unless they are converted into categories or numerical codes. The other options do not describe this limitation.

Correct answer: Qualitative data

230. Village Patwari collecting the data about cotton crops is the example of_____________?

Moderate
  • A. variable
  • B. Constant
  • C. Primary data
  • D. Secondary data

Explanation: When a Patwari directly collects information about cotton crops for the purpose of the study, the information is primary data. Data taken from an existing report or record would instead be secondary data.

Correct answer: Primary data