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 19 of 24
181. A constant variable can take values______________?
- A. Zero
- B. Fixed
- C. Not fixed
- D. Nothing
Explanation: A constant variable has only one fixed value throughout the observations, unlike a variable that changes from one observation to another. Therefore, its values are fixed.
Correct answer: Fixed182. A chance variation in an observational process is_____________?
- A. Dispersion/ Variability
- B. Measurement error
- C. Random error
- D. Instrument error
Explanation: Chance fluctuations arising naturally in an observational or measurement process are called random error. Measurement or instrument error may have specific systematic causes, whereas random error refers to unpredictable variation.
Correct answer: Random error183. Population census is conducted through_______________?
- A. Sample survey
- B. Accounting
- C. Investigation
- D. Complete enumeration
Explanation: A census covers every unit in the population, so it is conducted by complete enumeration. A sample survey studies only a selected portion of the population.
Correct answer: Complete enumeration184. Life of a T.V picture tube is a____________?
- A. Discrete variable
- B. Continuous variable
- C. Qualitative variable
- D. Constant
Explanation: The life of a picture tube can take any value within a time interval, including fractional units such as 6.5 years. Such measurements are continuous variables, not discrete counts.
Correct answer: Continuous variable185. The first hand and unorganized form of data is called_______________?
- A. Secondary data
- B. Organized data
- C. Primary data
- D. None of these
Explanation: Primary data is collected firsthand by the investigator and is often initially available in raw, unorganized form. Secondary data has already been collected by someone else for another purpose.
Correct answer: Primary data186. Which of these represent qualitative data______________?
- A. Height of a student
- B. Liking or disliking of (500) persons of a product
- C. Income of a government servant in a city
- D. Yield from a wheat plot
Explanation: Liking or disliking records a quality or category rather than a numerical measurement, so it is qualitative data. Height, income, and crop yield are quantitative measurements.
Correct answer: Liking or disliking of (500) persons of a product187. If a distribution is abnormally tall and peaked, then is can be said that the distribution is_____________?
- A. Leptokurtic
- B. Pyrokurtic
- C. Platykurtic
- D. Mesokurtic
Explanation: A distribution that is unusually tall and sharply peaked has positive excess kurtosis and is called leptokurtic. Platykurtic distributions are flatter, while mesokurtic distributions have the normal level of peakedness.
Correct answer: Leptokurtic188. If the standard deviation of a population is 9, the population variance is_____________?
- A. 9
- B. 3
- C. 21
- D. 81
Explanation: Variance is the square of the standard deviation, so the variance is 9² = 81. The value 9 is the standard deviation itself, not the variance.
Correct answer: 81189. The sum of the deviations about the mean is always______________?
- A. Range
- B. Zero
- C. Total Standard Deviation
- D. Positive
- E. Negative
Explanation: Positive and negative deviations from the arithmetic mean cancel one another, giving a total of zero. This is a defining property of the arithmetic mean.
Correct answer: Zero190. The mean of a distribution is 23, the median is 24, and the mode is 25.5. It is most likely that this distribution is_____________?
- A. Positively Skewed
- B. Symmetrical
- C. Asymptotic
- D. Negatively Skewed
Explanation: For a negatively skewed distribution, the usual order is mean < median < mode because the left tail pulls the mean downward. Here 23 < 24 < 25.5, indicating negative skewness.
Correct answer: Negatively Skewed