All Free Statistics MCQs with Answers
Every Statistics question in the bank, across all chapters, each with the correct answer and a written explanation. Free and unlimited, with no account needed.
545 questions · page 25 of 55
241. Questionnaire survey method is used to collect____________?
- A. Secondary data
- B. Qualitative variable
- C. Primary data
- D. None of these
Explanation: A questionnaire gathers information directly from respondents, making it a method of collecting primary data. Secondary data already exists in sources such as reports, records, or databases.
Correct answer: Primary data242. In a distribution of 10, 20, 30, 40, 50, the x is 30, the sum of deviations from x will be:________?
- A. 60
- B. 30
- C. Zero
- D. 15
Explanation: Taking deviations from 30 gives -20, -10, 0, 10, and 20, whose positive and negative values cancel. Therefore, their sum is zero.
Correct answer: Zero243. Which of the measures given here are based on every item of the series (uses all observations)?
- A. Range
- B. Standard Deviation
- C. Quartile Deviation
- D. All of them
Explanation: Standard deviation uses every observation through the squared deviations from the mean. Range uses only the smallest and largest values, while quartile deviation depends mainly on the quartiles.
Correct answer: Standard Deviation244. The most repeated (popular) value in a data set is called___________?
- 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: Mode245. If any of the value in data set is negative then it is impossible to compute:_____________?
- 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 Mean246. Arithmetic Mean is___________affected by extreme values?
- 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: Highly247. The sum of values divided by their number is called___________?
- 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: Mean248. Variance is always calculated from___________?
- 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: Mean249. The sum of squares of deviation is least if measure from__________?
- 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: Mean250. In Statistics, a population consists of:_____________?
- 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