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.

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Total Questions

Practice Questions

Page 35 of 66
Question #681
The weighted mean is used when:
A. All items have the same importance
B. Data are symmetric
C. Data are qualitative
D. Different items have different degrees of importance
Discuss
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Correct Answer: Option D

Explanation:
Weights reflect relative importance of each item.
This question belongs to: Accountancy and Statistics Statistics
Question #682
If the arithmetic mean of a distribution is 25 and the median is 24, the distribution is likely:
A. Bimodal
B. Symmetric
C. Negatively skewed
D. Positively skewed
Discuss
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Correct Answer: Option D

Explanation:
Mean > Median indicates positive skewness (right-skewed).
This question belongs to: Accountancy and Statistics Statistics
Question #683
The sum of squares of deviations from the mean is:
A. Maximum
B. Zero
C. Minimum
D. Equal to the variance
Discuss
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Correct Answer: Option C

Explanation:
The sum of squared deviations from the mean is minimum; from any other point it would be larger.
This question belongs to: Accountancy and Statistics Statistics
Question #684
The geometric mean is not defined when any observation is:
A. A fraction
B. Positive
C. Zero or negative
D. Greater than 1
Discuss
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Correct Answer: Option C

Explanation:
GM requires all values to be strictly positive; zero or negatives make it undefined.
This question belongs to: Accountancy and Statistics Statistics
Question #685
If a student’s speed is 60 km/h for half the distance and 40 km/h for the other half, the average speed is:
A. 52 km/h
B. 48 km/h
C. 50 km/h
D. 45 km/h
Discuss
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Correct Answer: Option B

Explanation:
Harmonic mean of 60 and 40 = 2/(1/60 + 1/40) = 48 km/h.
This question belongs to: Accountancy and Statistics Statistics
Question #686
Which average is most appropriate for calculating average of ratios like price-earnings ratios?
A. Harmonic mean
B. Mode
C. Median
D. Arithmetic mean
Discuss
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Correct Answer: Option A

Explanation:
When averaging rates where numerators are same, harmonic mean is appropriate.
This question belongs to: Accountancy and Statistics Statistics
Question #687
In a set of 10 values, the sum of deviations from 5 is 20 and from 6 is 10. The mean is:
A. 6
B. 8
C. 7
D. 5.5
Discuss
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Correct Answer: Option C

Explanation:
Σ(x-5)=Σx -50=20 → Σx=70. Mean=7. Check: Σ(x-6)=70-60=10, correct.
This question belongs to: Accountancy and Statistics Statistics
Question #688
A random experiment means that:
A. The experiment has no outcome
B. The outcome can be predicted exactly
C. The experiment always gives the same result
D. The outcomes are uncertain but the set of all possible outcomes is known
Discuss
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Correct Answer: Option D

Explanation:
In a random experiment, the result is not predictable with certainty but all possible outcomes are known.
This question belongs to: Accountancy and Statistics Statistics
Question #689
The sample space for tossing three coins is:
A. 8 outcomes
B. 4 outcomes
C. 2 outcomes
D. 6 outcomes
Discuss
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Correct Answer: Option A

Explanation:
Three independent coins yield 2³ = 8 possible sequences.
This question belongs to: Accountancy and Statistics Statistics
Question #690
If P(A)=0.5, P(B)=0.4, and A and B are independent, P(A∩B) is:
A. 0.1
B. 0.5
C. 0.2
D. 0.9
Discuss
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Correct Answer: Option C

Explanation:
For independent events, P(A∩B) = P(A) × P(B) = 0.5 × 0.4 = 0.2.
This question belongs to: Accountancy and Statistics Statistics
Question #691
Which of the following pairs are mutually exclusive?
A. Getting a 4 and an even number on a die
B. Getting a head and a tail in a single coin toss
C. Drawing a heart and a queen from a deck
D. Getting an even number and a prime number on a die
Discuss
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Correct Answer: Option B

Explanation:
Head and tail cannot occur simultaneously in one toss.
This question belongs to: Accountancy and Statistics Statistics
Question #692
If P(A)=0.7, P(B)=0.6, and P(A∪B)=0.9, then P(A∩B) is:
A. 0.42
B. 0.3
C. 0.4
D. 0.6
Discuss
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Correct Answer: Option C

Explanation:
P(A∩B) = P(A)+P(B)-P(A∪B) = 0.7+0.6-0.9 = 0.4.
This question belongs to: Accountancy and Statistics Statistics
Question #693
Bayes' theorem is used to compute:
A. Posterior probability
B. Prior probability
C. Expected value
D. Marginal probability only
Discuss
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Correct Answer: Option A

Explanation:
Bayes' theorem updates probabilities after observing evidence, giving posterior probabilities.
This question belongs to: Accountancy and Statistics Statistics
Question #694
A card is drawn from a pack of 52 cards. The probability that it is a king or a queen is:
A. 1/26
B. 1/13
C. 4/13
D. 2/13
Discuss
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Correct Answer: Option D

Explanation:
4 kings + 4 queens = 8 favorable. Probability = 8/52 = 2/13.
This question belongs to: Accountancy and Statistics Statistics
Question #695
Two events A and B are called complementary if:
A. A ∪ B = S and A ∩ B = ∅
B. P(A∩B) = P(A)P(B)
C. They are independent
D. P(A) = P(B)
Discuss
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Correct Answer: Option A

Explanation:
Complementary events partition the sample space; one is the complement of the other.
This question belongs to: Accountancy and Statistics Statistics
Question #696
The notation (αβ) indicates items that:
A. Possess B but not A
B. Possess both A and B
C. Possess neither A nor B
D. Possess A but not B
Discuss
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Correct Answer: Option C

Explanation:
α is not A, β is not B, so (αβ) = items without A and without B.
This question belongs to: Accountancy and Statistics Statistics
Question #697
If (A)=80, (B)=60, N=100, and (AB)=50, the value of (Aβ) is:
A. 10
B. 30
C. 20
D. 40
Discuss
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Correct Answer: Option B

Explanation:
(Aβ) = (A) - (AB) = 80 - 50 = 30.
This question belongs to: Accountancy and Statistics Statistics
Question #698
Consistency of attribute data requires that all ultimate class frequencies must be:
A. Non-negative
B. Negative
C. Equal
D. Zero
Discuss
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Correct Answer: Option A

Explanation:
All ultimate frequencies like (AB), (Aβ), etc., must be ≥ 0 for data to be consistent.
This question belongs to: Accountancy and Statistics Statistics
Question #699
If (AB) = 0, the two attributes are:
A. Independent
B. Completely disassociated
C. Perfectly correlated
D. Completely associated positively
Discuss
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Correct Answer: Option B

Explanation:
(AB)=0 means no unit possesses both A and B, indicating perfect negative association.
This question belongs to: Accountancy and Statistics Statistics
Question #700
Yule's coefficient of association Q = (ad - bc) / (ad + bc). Here ad and bc refer to:
A. Total frequencies
B. Ultimate class frequencies product
C. Cross products of the 2×2 table
D. Frequencies of A and B only
Discuss
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Correct Answer: Option C

Explanation:
ad = (AB)×(αβ), bc = (Aβ)×(αB), the cross-products of the frequencies.
This question belongs to: Accountancy and Statistics Statistics

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