Statistics MCQs
Practice complete Statistics MCQs covering Primary & Secondary Data, Data Collection Methods, Questionnaire, Tabulation & Compilation of Data, Measures of Central Tendency, Probability, Theory of Attributes, Index Numbers, Demography, Census, Vital Statistics, Fertility Measures, and all other important topics. Includes chapter-wise and exam-oriented multiple choice questions with detailed answers and explanations for JKSSB, SSC, Banking, UPSC, CUET, University, and other competitive exams.
Question #261
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Two dice are thrown simultaneously. The probability of getting a sum of 7 is:
Correct Answer: Option D
Explanation:
Favorable outcomes: (1,6), (2,5), (3,4), (4,3), (5,2), (6,1) = 6. Total outcomes = 36. Prob = 6/36 = 1/6.
Favorable outcomes: (1,6), (2,5), (3,4), (4,3), (5,2), (6,1) = 6. Total outcomes = 36. Prob = 6/36 = 1/6.
This question belongs to:
Accountancy and Statistics
Statistics
Question #262
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Assertion (A): The probability of an impossible event is zero. Reason (R): The sample space of an impossible event contains all outcomes.
Correct Answer: Option A
Explanation:
A is true, but R is false because the sample space (or favorable outcomes set) of an impossible event is the empty set (Φ).
A is true, but R is false because the sample space (or favorable outcomes set) of an impossible event is the empty set (Φ).
This question belongs to:
Accountancy and Statistics
Statistics
Question #263
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In the theory of attributes, the total number of ultimate class frequencies for 'n' attributes is:
Correct Answer: Option D
Explanation:
For n attributes, each can be either present or absent, resulting in 2^n ultimate class frequencies.
For n attributes, each can be either present or absent, resulting in 2^n ultimate class frequencies.
This question belongs to:
Accountancy and Statistics
Statistics
Question #264
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The frequency of a class which specifies the absence of all attributes (e.g., (αβγ)) is a:
Correct Answer: Option C
Explanation:
Classes represented by Greek letters denote the absence of attributes, hence their frequencies are negative class frequencies.
Classes represented by Greek letters denote the absence of attributes, hence their frequencies are negative class frequencies.
This question belongs to:
Accountancy and Statistics
Statistics
Question #265
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For two attributes A and B, the relationship (AB) + (Aβ) equals:
Correct Answer: Option B
Explanation:
The total frequency of attribute A is the sum of those possessing both A and B, and those possessing A but lacking B.
The total frequency of attribute A is the sum of those possessing both A and B, and those possessing A but lacking B.
This question belongs to:
Accountancy and Statistics
Statistics
Question #266
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If Yule's coefficient of association (Q) is +1, the attributes are:
Correct Answer: Option D
Explanation:
Q = +1 indicates perfect or complete positive association, where the presence of one attribute implies the other.
Q = +1 indicates perfect or complete positive association, where the presence of one attribute implies the other.
This question belongs to:
Accountancy and Statistics
Statistics
Question #267
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In an examination, 60% candidates passed in English (A), 50% in Math (B), and 30% in both (AB). Are attributes A and B independent?
Correct Answer: Option A
Explanation:
P(A) * P(B) = 0.6 * 0.5 = 0.3. Since P(AB) = 0.3, they are perfectly independent.
P(A) * P(B) = 0.6 * 0.5 = 0.3. Since P(AB) = 0.3, they are perfectly independent.
This question belongs to:
Accountancy and Statistics
Statistics
Question #268
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Data on attributes is said to be inconsistent if:
Correct Answer: Option A
Explanation:
Frequencies represent counts, so they cannot be negative, nor can any subset exceed the total population (N).
Frequencies represent counts, so they cannot be negative, nor can any subset exceed the total population (N).
This question belongs to:
Accountancy and Statistics
Statistics
Question #269
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Attributes that can only be classified into two mutually exclusive categories (e.g., Male/Female) are termed:
Correct Answer: Option A
Explanation:
Dichotomous classification divides data into exactly two contrasting categories based on the presence or absence of a trait.
Dichotomous classification divides data into exactly two contrasting categories based on the presence or absence of a trait.
This question belongs to:
Accountancy and Statistics
Statistics
Question #270
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Index numbers are typically expressed in:
Correct Answer: Option A
Explanation:
Index numbers are relative measures usually multiplied by 100 to be expressed as percentages for easy comparison.
Index numbers are relative measures usually multiplied by 100 to be expressed as percentages for easy comparison.
This question belongs to:
Accountancy and Statistics
Statistics
Question #271
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Which of the following index numbers suffers from upward bias?
Correct Answer: Option A
Explanation:
Laspeyres uses base-year quantities, ignoring the substitution effect when prices rise, causing an upward bias in inflation estimates.
Laspeyres uses base-year quantities, ignoring the substitution effect when prices rise, causing an upward bias in inflation estimates.
This question belongs to:
Accountancy and Statistics
Statistics
Question #272
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Paasche's Price Index uses:
Correct Answer: Option A
Explanation:
Paasche uses current year quantities, which makes it reflective of current consumption patterns but suffers from downward bias.
Paasche uses current year quantities, which makes it reflective of current consumption patterns but suffers from downward bias.
This question belongs to:
Accountancy and Statistics
Statistics
Question #273
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The Circular Test of an index number is an extension of the:
Correct Answer: Option A
Explanation:
The Circular Test requires P01 * P12 * P20 = 1, extending the logic of the time reversal test to multiple periods.
The Circular Test requires P01 * P12 * P20 = 1, extending the logic of the time reversal test to multiple periods.
This question belongs to:
Accountancy and Statistics
Statistics
Question #274
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Which of the following index numbers satisfies the Circular Test?
Correct Answer: Option A
Explanation:
Fisher's index fails the Circular Test. Only indexes with constant weights, like Kelly's or simple geometric mean of price relatives, pass it.
Fisher's index fails the Circular Test. Only indexes with constant weights, like Kelly's or simple geometric mean of price relatives, pass it.
This question belongs to:
Accountancy and Statistics
Statistics
Question #275
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The formula for the Factor Reversal Test requires that the product of the price index and quantity index equals the:
Correct Answer: Option C
Explanation:
Factor Reversal Test states P01 * Q01 = V01, meaning the product of price and quantity indices should equal the ratio of total values.
Factor Reversal Test states P01 * Q01 = V01, meaning the product of price and quantity indices should equal the ratio of total values.
This question belongs to:
Accountancy and Statistics
Statistics
Question #276
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Cost of Living Index (CLI) is conceptually synonymous with:
Correct Answer: Option B
Explanation:
CLI measures the changes in the cost of maintaining a certain standard of living, identical in purpose to the Consumer Price Index.
CLI measures the changes in the cost of maintaining a certain standard of living, identical in purpose to the Consumer Price Index.
This question belongs to:
Accountancy and Statistics
Statistics
Question #277
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The weights used in the construction of the Wholesale Price Index (WPI) in India are based on:
Correct Answer: Option B
Explanation:
WPI weights reflect the total value of commodities transacted in the domestic wholesale market.
WPI weights reflect the total value of commodities transacted in the domestic wholesale market.
This question belongs to:
Accountancy and Statistics
Statistics
Question #278
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If Laspeyres' index is 121 and Paasche's index is 100, Fisher's index is:
Correct Answer: Option D
Explanation:
Fisher's = square root of (Laspeyres * Paasche) = sqrt(121 * 100) = sqrt(12100) = 110.
Fisher's = square root of (Laspeyres * Paasche) = sqrt(121 * 100) = sqrt(12100) = 110.
This question belongs to:
Accountancy and Statistics
Statistics
Question #279
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Which index method is best suited when a new commodity is introduced frequently over consecutive years?
Correct Answer: Option D
Explanation:
The Chain Base method allows for the easy inclusion or deletion of items year-by-year, maintaining relevance.
The Chain Base method allows for the easy inclusion or deletion of items year-by-year, maintaining relevance.
This question belongs to:
Accountancy and Statistics
Statistics
Question #280
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Purchasing power of money is computed as:
Correct Answer: Option B
Explanation:
Purchasing power of money is the reciprocal of the price index; as prices rise, the value of money falls.
Purchasing power of money is the reciprocal of the price index; as prices rise, the value of money falls.
This question belongs to:
Accountancy and Statistics
Statistics
