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 14 of 55
131. Relative measure of skewness was introduced by _____________?
- A. Rowely
- B. Lack
- C. Karl Person
- D. Mode
Explanation: Karl Pearson introduced a widely used relative measure of skewness, calculated from the relationship among the mean, mode and standard deviation. The option spells Pearson incorrectly but clearly refers to Karl Pearson.
Correct answer: Karl Person132. The degree to which numerical data tend to spread about an average value is a________________?
- A. Range
- B. variance
- C. Minimum
- D. Dispersion
Explanation: Dispersion describes the extent to which observations spread around a central value. Range and variance are individual measures of dispersion, while dispersion is the general concept.
Correct answer: Dispersion133. Range of 5,5,5,5, is ________________?
- A. 0
- B. 5
- C. 25
- D. None of these
Explanation: Range equals the largest observation minus the smallest observation. Since both are 5, the range is 5 − 5 = 0.
Correct answer: 0134. The A.M. is greater than mode is equal to ______________?
- A. +vely
- B. Skewness
- C. Negatively
- D. zero
Explanation: When the arithmetic mean exceeds the mode, the distribution is conventionally positively skewed, with a longer tail toward larger values. Negative skewness generally has mean below the mode.
Correct answer: +vely135. In a symmetrical distribution mean, median and mode, _________________?
- A. Positive
- B. Greater
- C. Less than
- D. Coincide
Explanation: In a perfectly symmetrical, unimodal distribution, the centre is the same whether measured by mean, median or mode. Thus the three measures coincide.
Correct answer: Coincide136. If (AB) >(A) (B)/n __________ then A and B are?
- A. Independent
- B. Associated
- C. Dis-associated
- D. None of these
Explanation: The expected frequency under independence is (A)(B)/n. If the observed joint frequency (AB) is greater than this expected value, the attributes are positively associated.
Correct answer: Associated137. (A β C) is a frequency of attributes of order_______________?
- A. 3
- B. (2)
- C. 1
- D. D
Explanation: The joint frequency (A B C) involves three attributes together, so it is a frequency of order 3. Each additional attribute in the joint expression increases the order by one.
Correct answer: 3138. Two attributes are associated if expected frequency is ____________________?
- A. Less than observed
- B. Greater than observed
- C. Equal to observed
- D. None of these
Explanation: When the observed joint frequency exceeds the expected frequency under independence, the attributes show positive association. Equality indicates independence, while a smaller observed frequency indicates negative association.
Correct answer: Less than observed139. Attributes are _______ if they have some relation?
- A. Disassociation
- B. In consistent
- C. Associated
- D. None of these
Explanation: Attributes are called associated when they show a relationship or occur together more or less often than expected under independence. Disassociation means the absence of such a relationship.
Correct answer: Associated140. Richness is not a ________________?
- A. Constant
- B. Discreade
- C. Variable
- D. Continuous
Explanation: Richness describes a qualitative attribute or degree of a quality, rather than a numerical variable in this classification. It is therefore not treated as a variable, although the wording could be clearer.
Correct answer: Variable