Statistics MCQs

Accountancy and Statistics

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.

1318
Total Questions

Practice Questions

Page 22 of 66
Question #421
The harmonic mean of the numbers 3, 6, 9 is:
A. 54/11
B. 18/11
C. 11/54
D. 6
Discuss
Get Complete Subject PDF for Accountancy and Statistics

Correct Answer: Option A

Explanation:
HM = 3 / (1/3 + 1/6 + 1/9) = 3 / ( (6+3+2)/18 ) = 3 / (11/18) = 54/11 ≈ 4.909.
This question belongs to: Accountancy and Statistics Statistics
Question #422
Which measure of central tendency can be determined graphically from an ogive?
A. Geometric mean
B. Median
C. Mode
D. Mean
Discuss
Get Complete Subject PDF for Accountancy and Statistics

Correct Answer: Option B

Explanation:
Median is the x-value corresponding to cumulative frequency N/2 on the ogive.
This question belongs to: Accountancy and Statistics Statistics
Question #423
The mean of a data set is 50 and the median is 52. Using the empirical relation, the approximate mode is:
A. 54
B. 56
C. 44
D. 48
Discuss
Get Complete Subject PDF for Accountancy and Statistics

Correct Answer: Option B

Explanation:
Mode ≈ 3Median - 2Mean = 3×52 - 2×50 = 156 - 100 = 56.
This question belongs to: Accountancy and Statistics Statistics
Question #424
The geometric mean of 1, 2, 4, 8, 16 is:
A. 6
B. 5.2
C. 3.5
D. 4
Discuss
Get Complete Subject PDF for Accountancy and Statistics

Correct Answer: Option D

Explanation:
Product = 1×2×4×8×16 = 1024. 1024^(1/5) = 4 (since 4^5=1024).
This question belongs to: Accountancy and Statistics Statistics
Question #425
The probability that a randomly chosen number from 1 to 100 is divisible by 7 or 11 is:
A. 23/100
B. 22/100
C. 25/100
D. 20/100
Discuss
Get Complete Subject PDF for Accountancy and Statistics

Correct Answer: Option B

Explanation:
Multiples of 7: 14; of 11: 9; of 77: 1. Total = 14+9-1=22. P=22/100.
This question belongs to: Accountancy and Statistics Statistics
Question #426
Two cards are drawn from a deck without replacement. The probability that both are aces is:
A. 4/663
B. 1/169
C. 1/221
D. 1/1326
Discuss
Get Complete Subject PDF for Accountancy and Statistics

Correct Answer: Option C

Explanation:
P = (4/52)×(3/51) = 12/2652 = 1/221.
This question belongs to: Accountancy and Statistics Statistics
Question #427
If a fair die is rolled twice, the probability that the first roll is a 4 and the second roll is a 5 is:
A. 1/12
B. 1/18
C. 1/6
D. 1/36
Discuss
Get Complete Subject PDF for Accountancy and Statistics

Correct Answer: Option D

Explanation:
Independent events: (1/6)×(1/6)=1/36.
This question belongs to: Accountancy and Statistics Statistics
Question #428
Given P(A)=0.4, P(B)=0.5, and A and B are mutually exclusive, P(A∪B) is:
A. 0.9
B. 0.7
C. 0.2
D. 0.1
Discuss
Get Complete Subject PDF for Accountancy and Statistics

Correct Answer: Option A

Explanation:
Mutually exclusive ⇒ P(A∪B) = P(A)+P(B) = 0.4+0.5=0.9.
This question belongs to: Accountancy and Statistics Statistics
Question #429
If P(A)=0.6, P(B)=0.5, and P(A∩B)=0.3, then P(A'|B) is:
A. 0.2
B. 0.6
C. 0.5
D. 0.4
Discuss
Get Complete Subject PDF for Accountancy and Statistics

Correct Answer: Option D

Explanation:
P(A'|B) = 1 - P(A|B). P(A|B) = 0.3/0.5 = 0.6. So P(A'|B)=0.4.
This question belongs to: Accountancy and Statistics Statistics
Question #430
A box contains 4 white and 2 black balls. Two balls are drawn successively with replacement. Probability both are white is:
A. 1/9
B. 4/9
C. 5/9
D. 2/3
Discuss
Get Complete Subject PDF for Accountancy and Statistics

Correct Answer: Option B

Explanation:
With replacement: P(WW) = (4/6)×(4/6) = 16/36 = 4/9.
This question belongs to: Accountancy and Statistics Statistics
Question #431
In a Poisson distribution, the probability of zero successes is e^{-λ}. If λ=3, this probability is approximately:
A. 0.10
B. 0.20
C. 0.15
D. 0.05
Discuss
Get Complete Subject PDF for Accountancy and Statistics

Correct Answer: Option D

Explanation:
e^{-3} ≈ 0.0498 ≈ 0.05.
This question belongs to: Accountancy and Statistics Statistics
Question #432
If P(A)=0.7, P(B)=0.6, and the maximum possible value of P(A∩B) is 0.6, then the minimum possible value of P(A∪B) is:
A. 0.8
B. 0.7
C. 0.6
D. 1.0
Discuss
Get Complete Subject PDF for Accountancy and Statistics

Correct Answer: Option B

Explanation:
P(A∪B) = P(A)+P(B)-P(A∩B). To minimize union, maximize intersection: max=0.6. So min union = 0.7+0.6-0.6=0.7.
This question belongs to: Accountancy and Statistics Statistics
Question #433
Two events A and B are such that P(A)=0.5, P(B)=0.3, P(A∩B)=0.1. They are:
A. Neither mutually exclusive nor independent
B. Independent
C. Both mutually exclusive and independent
D. Mutually exclusive
Discuss
Get Complete Subject PDF for Accountancy and Statistics

Correct Answer: Option A

Explanation:
P(A∩B)≠0 ⇒ not mutually exclusive. P(A)P(B)=0.15 ≠ 0.1 ⇒ not independent.
This question belongs to: Accountancy and Statistics Statistics
Question #434
A speaks truth in 60% cases, B in 70% cases. They agree in a statement. The probability that the statement is true is:
A. 0.78
B. 0.50
C. 0.42
D. 0.58
Discuss
Get Complete Subject PDF for Accountancy and Statistics

Correct Answer: Option A

Explanation:
Agreement can be both truth or both lie. P(both truth)=0.6×0.7=0.42; both lie=0.4×0.3=0.12. Total agreement=0.54. Probability truth given agreement = 0.42/0.54 ≈ 0.7778.
This question belongs to: Accountancy and Statistics Statistics
Question #435
For a given data, Σp₁q₀ = 600, Σp₀q₀ = 500, Σp₁q₁ = 700, Σp₀q₁ = 600. The value index is:
A. 116.67
B. 125
C. 120
D. 140
Discuss
Get Complete Subject PDF for Accountancy and Statistics

Correct Answer: Option D

Explanation:
Value index = (Σp₁q₁ / Σp₀q₀) × 100 = 700/500 × 100 = 140.
This question belongs to: Accountancy and Statistics Statistics
Question #436
If the Laspeyres price index is 125 and Paasche price index is 115, the Fisher index is:
A. 121.0
B. 118.5
C. 119.83
D. 120.0
Discuss
Get Complete Subject PDF for Accountancy and Statistics

Correct Answer: Option C

Explanation:
F = √(125×115) = √14375 ≈ 119.83.
This question belongs to: Accountancy and Statistics Statistics
Question #437
Which test of index numbers is violated by Laspeyres index?
A. Circular test
B. Unit test
C. Factor reversal test
D. Time reversal test
Discuss
Get Complete Subject PDF for Accountancy and Statistics

Correct Answer: Option D

Explanation:
Laspeyres does not satisfy time reversal test; P₀₁(L) × P₁₀(L) ≠ 1.
This question belongs to: Accountancy and Statistics Statistics
Question #438
An index number constructed by taking the simple average of price relatives is called:
A. Weighted aggregative index
B. Simple average of relatives index
C. Chain index
D. Simple aggregative index
Discuss
Get Complete Subject PDF for Accountancy and Statistics

Correct Answer: Option B

Explanation:
It is calculated as the arithmetic or geometric mean of individual price relatives.
This question belongs to: Accountancy and Statistics Statistics
Question #439
The CPI (Rural) and CPI (Urban) are compiled by:
A. RBI
B. Central Statistics Office (NSO)
C. Labour Bureau
D. NITI Aayog
Discuss
Get Complete Subject PDF for Accountancy and Statistics

Correct Answer: Option B

Explanation:
The National Statistical Office (NSO), under MoSPI, compiles the CPI for rural, urban, and combined.
This question belongs to: Accountancy and Statistics Statistics
Question #440
If the WPI (base 2011-12) for March 2023 is 150, it means that wholesale prices have increased by ______ since base year.
A. 150%
B. 100%
C. 33.3%
D. 50%
Discuss
Get Complete Subject PDF for Accountancy and Statistics

Correct Answer: Option D

Explanation:
Percentage increase = (150-100)/100 × 100 = 50%.
This question belongs to: Accountancy and Statistics Statistics

More Accountancy and Statistics Topics

Accountancy and Book Keeping MCQs
Today's Top Topics
Accountancy and Book Keeping 1861 Statistics 1318
Explore Subjects
Current Affairs 575 English 15164 Static General Knowledge 6362 History GK 3374 Reasoning 1111
Practice Mix
The Macaulay's Minute dealt with:
Which major port is located on the Malabar Coast?
A census provides data that is:
Which of the following is the primary reason for the high rainfall in Cherrapunji?
Choose the correct active voice of: 'Has the mail been sent by the secretary?'